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  • Microscopic description of two dimensional dipolar quantum gases  Open access

     Macia Rey, Adrian
    Department of Physics and Nuclear Engineering, Universitat Politècnica de Catalunya
    Theses

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    En este trabajo presentamos una descripción de las propiedades de los gases homogéneos de dipolos bosónicos en dos dimensiones. Cambiando el ángulo de polarización respecto a la perpendicular al plano donde las partículas están confinadas estudiamos el impacto de la anisotropía de la interacción dipolar en diferentes magnitudes físicas. El análisis se restringe al rango de ángulos de polarización en que la interacción es repulsiva aunque la intensidad pueda depender fuertemente de la orientación respecto a la dirección de polarización. El análisis del problema a dos cuerpos a energía cero nos permite evaluar la longitud de difusión de la interacción y construir una función de onda de tipo Jastrow para el sistema de muchos cuerpos. Esta función de onda será usada como función de prueba para las simulaciones Monte Carlo del sistema homogéneo de dipolos bosónicos en dos dimensiones. En la primera parte de la tesis hemos estudiado el gas de Bose dipolar en el régimen de bajas densidades, observando que el impacto de la anisotropía es negligible en las propiedades macroscópicas en el regimen donde la longitud de difusión gobierna la física del sistema. Hemos comprobado también que el escalado en el parámetro de gas persiste en el caso dipolar hasta valores donde otras interacciones isótropas con la misma longitud de difusión llevan a distintas predicciones. Hemos evaluado el espectro de excitaciones elementales del gas de Bose dipolar en el contexto de la aproximación de Feynman, comparando los resultados con los obtenidos mediante la aproximación de Bogoliubov. Como cabría esperar, las dos aproximaciones coinciden a bajas densidades y se alejan progresivamente al aumentar la densidad.Al aumentar la densidad del sistema vemos que el comportamiento del gas depende del valor del ángulo de polarización de los momentos dipolares. A altas densidades y valores moderados del ángulo de polarización el sistema experimenta una transición de fase de primer orden pasando de una fase gaseosa a una cristalina. Hemos observado también que la anisotropía de la interacción dipolar causa una elongación de la red cristalina en la dirección de interacción más intensa. Para valores elevados del ángulo de polarización y densidades moderadas el sistema muestra transición de fase, esta vez de segundo orden, en la que el sistema pasa de la fase gaseosa a una fase de bandas. Los exponentes críticos de esta transición de fase son independientes del ángulo de polarización y, dentro de los errores estadísticos de las simulaciones, son compatibles con las clases de universalidad del modelo de Ising y XY en tres dimensiones. Finalmente, a altas densidades y valores grandes del ángulo de polarización el sistema muestra otra transición de fase de primer orden entre la fase cristalina y la fase de bandas. La pendiente de esta curva de transición es extremadamente grande indicando que, debido a la anisotropía de la interacción, la fase cristalina deja de ser estable si el potencial de interacción dipolo-dipolo es muy anisótropo.En la última parte de la tesis estudiamos el estado fundamental de un sistema bicapa de dipolos bosónicos, que es una configuración en la que se confinan las partículas en dos planos paralelos mediante un potencial externo. Consideramos la situación más simple en la que los momentos dipolares están orientados por un campo externo en la dirección perpendicular a los planos. Hemos evaluado la energía del estado fundamental y las matrices densidad a uno y dos cuerpos en función de la distancia entre capas usando métodos Monte Carlo. Hemos encontrado que disminuyendo la distancia entre planos para un valor fijo de la intensidad de la interacción, el comportamiento de todos los observables estudiados es compatible con la existencia de una transición de fase de segundo orden modulada por la distancia entre capas. En este sentido, los resultados obtenidos en este trabajo muestran buen acuerdo con estudios previos de este sistema.

    A microscopic description of the many-body properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction on different physical quantities. We restrict the analysis to the range of polarization angles where the interaction is always repulsive, although the strength of the repulsion can be strongly dependent on the orientation with respect to the polarization field. We present a study of the zero energy two-body problem which allows us to find the scattering length of the interaction and to build a suitable Jastrow many-body wave function that will be used as a trial wave function for Monte Carlo simulations of the bulk two-dimensional system of bosonic dipoles. In the first part of this work we have studied the low-density dipolar Bose gas and we find that the anisotropy has an almost negligible impact on the ground state properties of the many-body system in the universal regime where the scattering length governs the physics of the system. We also show that scaling in the gas parameter persists in the dipolar case up to values where other isotropic interactions with the same scattering length yield different predictions. We also evaluate the excitation spectrum of the dipolar Bose gas in the context of the Feynman approximation and compare the results obtained with the Bogoliubov ones. As expected, we find that these two approximations agree at very low densities, while they start to deviate from each other as the density increases. When the density of the system is increased we find that the behavior of the system depends on the value of the polarization angle of the dipolar moments of the system. At large densities and moderate values of the polarization angle the system undergoes a first-order quantum phase transition from a gas and a crystal phase. We also find that the anisotropy of the dipole-dipole potential causes an elongation of the crystalline lattice of the system in the direction where the interaction is stronger. At large polarization angles and moderate densities the system undergoes a second-order quantum phase transition from a gas to a stripe phase. Interestingly, the critical exponents of this second order transition are nearly independent of the tilting angle and are compatible with the 3D Ising and 3D XY model universality classes within the statistical uncertainty of our simulations. Finally, at high densities and large tilting angles the system shows a first order phase transition between the crystal and stripe phases. The slope of this transition curve is extremely large indicating that, due to the anisotropy of the interaction, the crystal phase of the system is no longer stable if the dipole - dipole potential is highly anisotropic. We consider the ground state of a bilayer system of dipolar bosons, which is a configuration consisting in the continement of the particles in two paralel planes by means of a trapping potential. We consider the simplest situation where dipole moments are oriented by an external field in the direction perpendicular to the parallel planes. Quantum Monte Carlo methods are used to calculate the ground-state energy, the one-body and two-body density matrix as a function of the separation between layers. We find that by decreasing the interlayer distance for fixed value of the strength of the dipolar interaction, the behavior of all the physical observables studied are compatible with the existence of a second order phase transition modulated by the inter-layer distance. In this sense, the results presented in this work are in good agreement with some previous studies of dipolar gases in a bilayer setup

    En este trabajo presentamos una descripción de las propiedades de los gases homogéneos de dipolos bosónicos en dos dimensiones. Cambiando el ángulo de polarización respecto a la perpendicular al plano donde las partículas están confinadas estudiamos el impacto de la anisotropía de la interacción dipolar en diferentes magnitudes físicas. El análisis se restringe al rango de ángulos de polarización en que la interacción es repulsiva aunque la intensidad pueda depender fuertemente de la orientación respecto a la dirección de polarización. El análisis del problema a dos cuerpos a energía cero nos permite evaluar la longitud de difusión de la interacción y construir una función de onda de tipo Jastrow para el sistema de muchos cuerpos. Esta función de onda será usada como función de prueba para las simulaciones Monte Carlo del sistema homogéneo de dipolos bosónicos en dos dimensiones. En la primera parte de la tesis hemos estudiado el gas de Bose dipolar en el régimen de bajas densidades, observando que el impacto de la anisotropía es negligible en las propiedades macroscópicas en el regimen donde la longitud de difusión gobierna la física del sistema. Hemos comprobado también que el escalado en el parámetro de gas persiste en el caso dipolar hasta valores donde otras interacciones isótropas con la misma longitud de difusión llevan a distintas predicciones. Hemos evaluado el espectro de excitaciones elementales del gas de Bose dipolar en el contexto de la aproximación de Feynman, comparando los resultados con los obtenidos mediante la aproximación de Bogoliubov. Como cabría esperar, las dos aproximaciones coinciden a bajas densidades y se alejan progresivamente al aumentar la densidad. Al aumentar la densidad del sistema vemos que el comportamiento del gas depende del valor del ángulo de polarización de los momentos dipolares. A altas densidades y valores moderados del ángulo de polarización el sistema experimenta una transición de fase de primer orden pasando de una fase gaseosa a una cristalina. Hemos observado también que la anisotropía de la interacción dipolar causa una elongación de la red cristalina en la dirección de interacción más intensa. Para valores elevados del ángulo de polarización y densidades moderadas el sistema muestra transición de fase, esta vez de segundo orden, en la que el sistema pasa de la fase gaseosa a una fase de bandas. Los exponentes críticos de esta transición de fase son independientes del ángulo de polarización y, dentro de los errores estadísticos de las simulaciones, son compatibles con las clases de universalidad del modelo de Ising y XY en tres dimensiones. Finalmente, a altas densidades y valores grandes del ángulo de polarización el sistema muestra otra transición de fase de primer orden entre la fase cristalina y la fase de bandas. La pendiente de esta curva de transición es extremadamente grande indicando que, debido a la anisotropía de la interacción, la fase cristalina deja de ser estable si el potencial de interacción dipolo-dipolo es muy anisótropo. En la última parte de la tesis estudiamos el estado fundamental de un sistema bicapa de dipolos bosónicos, que es una configuración en la que se confinan las partículas en dos planos paralelos mediante un potencial externo. Consideramos la situación más simple en la que los momentos dipolares están orientados por un campo externo en la dirección perpendicular a los planos. Hemos evaluado la energía del estado fundamental y las matrices densidad a uno y dos cuerpos en función de la distancia entre capas usando métodos Monte Carlo. Hemos encontrado que disminuyendo la distancia entre planos para un valor fijo de la intensidad de la interacción, el comportamiento de todos los observables estudiados es compatible con la existencia de una transición de fase de segundo orden modulada por la distancia entre capas. En este sentido, los resultados obtenidos en este trabajo muestran buen acuerdo con estudios previos de este sistema.

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    Phase diagram of dipolar bosons in two dimensions with tilted polarization  Open access

     Macia Rey, Adrian; Boronat Medico, Jordi; Mazzanti Castrillejo, Fernando Pablo
    Physical review A
    Vol. 90, num. 6, p. 1-5
    DOI: 10.1103/PhysRevA.90.061601
    Date of publication: 2014-12-01
    Journal article

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    We analyze the ground state of a system of dipolar bosons moving in the XY plane and such that their dipolar moments are all aligned in a fixed direction in space. We focus on the general case where the polarization field forms a generic angle a with respect to the Z axis. We use the path-integral ground-state method to analyze the static properties of the system as both a and the density n vary over a wide range where the system is stable. We use the maximum of the static structure function as an order parameter to characterize the different phases and the transition lines among them. We find that, in addition to a superfluid gas and a solid phase, the system reaches a stripe phase at large tilting angles that is entirely induced by the anisotropic character of the interaction. We also show that the quantum phase transition from the gas to the stripe phase is of second order and report approximate values for the critical exponents.

  • Single-particle versus pair superfluidity in a bilayer system of dipolar bosons

     Macia Rey, Adrian; Astrakharchik, Grigori; Mazzanti Castrillejo, Fernando Pablo; Giorgini, 0Stefano; Boronat Medico, Jordi
    Physical review A
    Vol. 90, num. 4, p. 1-5
    DOI: 10.1103/PhysRevA.90.043623
    Date of publication: 2014-10-21
    Journal article

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    We consider the ground state of a bilayer system of dipolar bosons, where dipoles are oriented by an external field in the direction perpendicular to the parallel planes. Quantum Monte Carlo methods are used to calculate the ground-state energy, the one-body and two-body density matrix, and the superfluid response as a function of the separation between layers. We find that by decreasing the interlayer distance for fixed value of the strength of the dipolar interaction, the system undergoes a quantum phase transition from a single-particle to a pair superfluid. The single-particle superfluid is characterized by a finite value of both the atomic condensate and the super-counterfluid density. The pair superfluid phase is found to be stable against formation of many-body cluster states and features a gap in the spectrum of elementary excitations.

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    Stopping criteria in contrastive divergence: Alternatives to the reconstruction error  Open access

     Buchaca Prats, David; Romero Merino, Enrique; Mazzanti Castrillejo, Fernando Pablo; Delgado Pin, Jordi
    International Conference on Learning Representations
    Presentation's date: 2014-04-15
    Presentation of work at congresses

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    Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the gradient of the data log-likelihood. A simple reconstruction error is often used to decide whether the approximation provided by the CD algorithm is good enough, though several authors (Schulz et al., 2010; Fischer & Igel, 2010) have raised doubts concerning the feasibility of this procedure. However, not many alternatives to the reconstruction error have been used in the literature. In this manuscript we investigate simple alternatives to the reconstruction error in order to detect as soon as possible the decrease in the log-likelihood during learning.

    Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the gradient of the data log-likelihood. A simple reconstruction error is often used to decide whether the approximation provided by the CD algorithm is good enough, though several authors (Schulz et al., 2010; Fischer & Igel, 2010) have raised doubts concerning the feasibility of this procedure. However, not many alternatives to the reconstruction error have been used in the literature. In this manuscript we investigate simple alternatives to the reconstruction error in order to detect as soon as possible the decrease in the log-likelihood during learning.

  • Excitations and stripe phase formation in a two-dimensional dipolar bose gas with tilted polarization

     Macia Rey, Adrian; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi
    Physical review letters
    Vol. 109, num. 23
    DOI: 10.1103/PhysRevLett.109.235307
    Date of publication: 2012-12-05
    Journal article

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    The effective two-particle interaction of cold atoms as derived from bragg scattering  Open access

     Sarjonen, R.; Saarela, M.; Mazzanti Castrillejo, Fernando Pablo
    Journal of low temperature physics
    Vol. 169, num. 5-6, p. 400-422
    DOI: 10.1007/s10909-012-0745-x
    Date of publication: 2012-12
    Journal article

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    We study the dynamic structure function of ultracold alkali-metal gases for large scattering lengths and momenta where corrections to the mean field approximation become important. We compare our result with the Bragg-scattering measurements in 85Rb by Papp et al. (Phys. Rev. Lett. 101:135301, 2008) and show that these experiments set very strict limits to the shape of the effective two-particle interaction ruling out the contact and hard spheres potentials. Using the Feshbach resonance approximation we derive the effective interaction, which turns out to be very similar to the soft spheres potential in momentum space. At large scattering lengths the interaction becomes universal and could be directly measured by Bragg scattering. We also discuss the experimental conditions needed for the appearance of the maxon-roton structure in the excitation spectrum and finally show that when the scattering length becomes larger than 2000 Bohr radii the uniform gas phase undergoes a phase transition into the density wave state.

  • Ground state properties and excitation spectrum of a two dimensional gas of bosonic dipoles

     Macia Rey, Adrian; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi
    European physical journal D
    Vol. 66, num. 11
    DOI: 10.1140/epjd/e2012-30455-y
    Date of publication: 2012-11
    Journal article

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    Ferromagnetic transition of a two-component Fermi gas of hard spheres  Open access

     Arias de Saavedra, F.; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi; Polls, A.
    Physical review A
    Vol. 85, num. 3, p. 1-6
    DOI: 10.1103/PhysRevA.85.033615
    Date of publication: 2012-03-12
    Journal article

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    We use microscopic many-body theory to analyze the problem of itinerant ferromagnetism in a repulsive atomic Fermi gas of hard spheres. Using simple arguments we show that the available theoretical predictions for the onset of the ferromagnetic transition predict a transition point at a density (kF a ∼ 1) that is too large to be compatible with the universal low-density expansion of the energy. We present variational calculations for the hard-sphere Fermi gas, in the framework of Fermi hypernetted chain theory, that shift the transition to higher densities (kF a ∼ 1.8). Backflow correlations, which are mainly active in the unpolarized system, are essential for this shift.

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    Zero-temperature phase diagram of Yukawa bosons  Open access

     Osychenko, Oleg; Astrakharchik, Grigori; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi
    Physical review A
    Vol. 85, num. 6, p. 1-6
    DOI: 10.1103/PhysRevA.85.063604
    Date of publication: 2012
    Journal article

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    We study the zero-temperature phase diagram of bosons interacting via screened Coulomb (Yukawa) potential by means of the diffusion Monte Carlo method. The Yukawa potential is used as a model interaction in the neutron matter, dusty plasmas, and charged colloids. As shown by Petrov et al. [Phys. Rev. Lett. 99, 130407 (2007)], interactions between weakly bound molecules of heavy and light fermionic atoms are described by an effective Yukawa potential with a strength related to the heavy-light mass ratio M/m, which might lead to crystallization in a two-dimensional geometry if the mass ratio of heavy-light fermions exceeds a certain critical value. In the present work we do a thorough study of the quantum three-dimensional Yukawa system. For strong interactions (equivalently, large mass ratios) the system experiences several phase transitions as the density is increased, passing from gas to solid and to gas phase again.Weakly interacting Yukawa particles do not crystallize at any density. We find the minimal interaction strength at which the crystallization happens. In terms of the two-component fermionic system, this strength corresponds to a heavy-light mass ratio of M/m ∼ 180, so that it is impossible to realize the gas-crystal transition in a conventional bulk system. For the Yukawa model of fermionic mixtures we also analyze the possibility of building molecular systems with very large effective mass ratios by confining the heavy component to a sufficiently deep optical lattice. We show how the effective mass of the heavy component can be made arbitrarily large by increasing the lattice depth, thus leading to a tunable effective mass ratio that can be used to realize a molecular superlattice.

  • Scaling of the interaction in BECs at large scattering lengths

     Sarjonen, R.; Saarela, M.; Mazzanti Castrillejo, Fernando Pablo
    European physical journal D
    Vol. 65, num. 1-2, p. 25-32
    DOI: 10.1140/epjd/e2011-20102-8
    Date of publication: 2011-11
    Journal article

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  • Elementary excitations and universal interaction in Bose-Einstein condensates at large scattering lengths

     Sarjonen, R.; Saarela, M.; Mazzanti Castrillejo, Fernando Pablo
    Physical review A
    Vol. 84, num. 4, p. 1-4
    DOI: 10.1103/PhysRevA.84.041602
    Date of publication: 2011-10-10
    Journal article

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    Microscopic description of anisotropic low-density dipolar Bose gases in two dimensions  Open access

     Macia Rey, Adrian; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi; Zillich, Robert E.
    Physical review A
    Vol. 84, num. 3, p. 1-10
    DOI: 10.1103/PhysRevA.84.033625
    Date of publication: 2011-09-19
    Journal article

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    A microscopic description of the zero-energy two-body ground state and many-body static properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions at low densities is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction, on the energy per particle, comparing the results with mean-field predictions. We restrict the analysis to the regime where the interaction is always repulsive, although the strength of the repulsion depends on the orientation with respect to the polarization field. We present a series expansion of the solution of the zero-energy two-body problem, which allows us to find the scattering length of the interaction and to build a suitable Jastrow factor that we use as a trial wave function for both a variational and diffusion Monte Carlo simulation of the infinite system. We find that the anisotropy has an almost negligible impact on the ground-state properties of the many-body system in the universal regime where the scattering length governs the physics of the system. We also show that scaling in the gas parameter persists in the dipolar case up to values where other isotropic interactions with the same scattering length yield different predictions.

  • A new approach to decimation in high order Boltzmann machines

     Farguell Matasanz, Enric
    Universitat Ramon Llull
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    High-order time expansion path integral ground state  Open access

     Rota, Riccardo; Casulleras Ambros, Joaquin; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi
    Physical review E: statistical, nonlinear, and soft matter physics
    Vol. 81, num. 1, p. 6707
    DOI: 10.1103/PhysRevE.81.016707
    Date of publication: 2010-01
    Journal article

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    The feasibility of path integral Monte Carlo ground state calculations with very few beads using a high-order short-time Green’s function expansion is discussed. An explicit expression of the evolution operator which provides dramatic enhancements in the quality of ground-state wave functions is examined. The efficiency of the method makes possible to remove the trial wave function and thus obtain completely model-independent results still with a very small number of beads. If a single iteration of the method is used to improve a given model wave function, the result is invariably a shadow-type wave function, whose precise content is provided by the high-order algorithm employed.

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    Low-dimensional weakly interacting Bose gases: nonuniversal equations of state  Open access

     Astrakharchik, Grigori; Boronat Medico, Jordi; Kurbakov, I L; Lozovik, Y E; Mazzanti Castrillejo, Fernando Pablo
    Physical review A
    Vol. 81, num. 1, p. 3612-3622
    DOI: 10.1103/PhysRevA.81.013612
    Date of publication: 2010-01
    Journal article

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    The zero-temperature equation of state is analyzed in low-dimensional bosonic systems. We propose to use the concept of energy-dependent s-wave scattering length for obtaining estimations of nonuniversal terms in the energy expansion. We test this approach by making a comparison to exactly solvable one-dimensional problems and find that the generated terms have the correct structure. The applicability to two-dimensional systems is analyzed by comparing with results of Monte Carlo simulations. The prediction for the nonuniversal behavior is qualitatively correct and the densities, at which the deviations from the universal equation of state become visible, are estimated properly. Finally, the possibility of observing the nonuniversal terms in experiments with trapped gases is also discussed.

  • GRUP DE SIMULACIO PER ORDINADOR EN MATERIA CONDENSADA

     Pastor Satorras, Romualdo; Sese Castel, Gemma; Rey Oriol, Rosendo; Casulleras Ambros, Joaquin; Trullàs Simó, Joaquim; Bitrian Varea, Vicente; Baronchelli, Andrea; Osychenko, Oleg; Canales Gabriel, Manel; Boronat Medico, Jordi; Marti Rabassa, Jordi; Macia Rey, Adrian; Calvo Minguillon, Ausias March; Ortiz de Urbina Viade, Jordi; Mazzanti Castrillejo, Fernando Pablo; Astrakharchik, Grigori; Rota, Riccardo; Sala2 Viñas, Jonàs; Alcaraz Sendra, Olga; Guardia Manuel, Elvira
    Competitive project

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  • Dynamics of a Two-Dimensional System of Quantum Dipoles

     Mazzanti Castrillejo, Fernando Pablo; Zillich, Robert E.; Astrakharchik, Grigori; Boronat Medico, Jordi
    Physical review letters
    Vol. 102, num. 110405, p. 1
    Date of publication: 2009-03
    Journal article

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  • SUPERFLUIDEZ Y CONDESACION DE BOSE-EINSTEIN EN MATERIA ULTRAFRIA

     Mazzanti Castrillejo, Fernando Pablo; Macia Rey, Adrian; Osychenko, Oleg; Rota, Riccardo; Astrakharchik, Grigori; Casulleras Ambros, Joaquin; Boronat Medico, Jordi
    Competitive project

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  • Dynamic structure function of quantum bose systems; condensate fraction and momentum distribution

     Saarela, M; Mazzanti Castrillejo, Fernando Pablo; Apaja, V
    International journal of modern physics B
    Vol. 22, num. 25-26, p. 4327-4337
    Date of publication: 2008-10
    Journal article

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  • Boltzmann Machines Reduction by High-Order Decimation

     Farguell, E; Mazzanti Castrillejo, Fernando Pablo; Gomez-Ramirez, E
    IEEE transactions on neural networks
    Vol. 19, num. 10, p. 1816-1821
    DOI: 10.1109/TNN.2008.2003249
    Date of publication: 2008-10
    Journal article

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  • Off-diagonal ground-state properties of a one-dimensional gas of Fermi hard rods

     Mazzanti Castrillejo, Fernando Pablo; Astrakharchik, Grigori; Boronat Medico, Jordi; Casulleras Ambros, Joaquin
    Physical review A
    Vol. 77, num. 4, p. 43632
    DOI: 10.1103/PhysRevA.77.043632
    Date of publication: 2008-04
    Journal article

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  • Ground-state properties of a one-dimensional system of hard rods

     Mazzanti Castrillejo, Fernando Pablo; Astrakharchik, Grigori; Boronat Medico, Jordi; Casulleras Ambros, Joaquin
    Physical review letters
    Vol. 1, num. 2, p. 1-4
    Date of publication: 2008-01
    Journal article

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  • Static Properties of a SYstem of Hard Rods in One Dimension

     Mazzanti Castrillejo, Fernando Pablo
    International Conference on Recent Progress in Many-Body Theories (XIV)
    Presentation's date: 2007-07-16
    Presentation of work at congresses

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  • Condensate fraction in the dynamic structure function of Bose fluids

     Saarela, M; Mazzanti Castrillejo, Fernando Pablo; Apaja, V
    International journal of modern physics B
    Vol. 21, num. 13-14, p. 2169-2180
    Date of publication: 2007-05
    Journal article

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  • Variational description of weakly interacting Bose gases in 3 dimensions

     Mazzanti Castrillejo, Fernando Pablo; Saarela, M; Apaja, V
    International journal of modern physics B
    Vol. 20, num. 30-31, p. 5061-5070
    Date of publication: 2006-12
    Journal article

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  • Variational Description of Weakly Interacting Bose Gases in 3 Dimensions

     Mazzanti Castrillejo, Fernando Pablo; Saarela, M; Apaja, V
    Date of publication: 2006-09-30
    Book chapter

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  • Variational Description of Weakly Interacting Bose Gases in 3 Dimensions

     Mazzanti Castrillejo, Fernando Pablo
    13th International Conference Recent Progress in Many-Body Theories
    Presentation's date: 2005-12-06
    Presentation of work at congresses

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  • High momentum response of liquid 3He

     Mazzanti Castrillejo, Fernando Pablo; Polls, A; Boronat Medico, Jordi; Casulleras Ambros, Joaquin
    Physical review letters
    Vol. 92, p. 085301--4
    Date of publication: 2004-02
    Journal article

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  • High momentum response of liquid 3He

     Boronat Medico, Jordi; Mazzanti Castrillejo, Fernando Pablo; Polls, A
    Date of publication: 2003-08-31
    Book chapter

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  • High-momentum dynamic structure function of liquid 3He-4He mixtures: a microscopic approach

     Mazzanti Castrillejo, Fernando Pablo; Polls, A; Boronat Medico, Jordi
    Physical review B: condensed matter and materials physics
    Vol. 63, p. 054521--11
    Date of publication: 2001-02
    Journal article

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  • Mecanica cuantica de los condensados de Bose-Einstein

     Polls, A; Boronat Medico, Jordi; Mazzanti Castrillejo, Fernando Pablo
    Investigación y ciencia
    num. 293, p. 66-74
    Date of publication: 2001-02
    Journal article

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  • Coherent and incoherent dynamic structure functions of the free fermi gas

     Mazzanti Castrillejo, Fernando Pablo; Polls, A; Boronat Medico, Jordi
    Physics letters A
    Vol. 220, num. 1, p. 251-257
    Date of publication: 1996-09
    Journal article

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  • Final-state efects on superfluid 4he in the deep inelastic regime

     Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi; Polls, A
    Physical review B: condensed matter and materials physics
    Vol. 53, num. 9, p. 5661-5669
    Date of publication: 1996-03
    Journal article

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  • Momentum distributions and condensate fraction in liquid 3he-4he mixtures

     Boronat Medico, Jordi; Pous, A; Mazzanti Castrillejo, Fernando Pablo; Fabrocini, A
    RESEARCH CONFERENCE ON BOSE-EINSTEIN CONDENSATION
    p. 44
    Presentation of work at congresses

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  • Dynamic structure funcion in 3he-4he mixtures

     Boronat Medico, Jordi; Dalfovo, F; Mazzanti Castrillejo, Fernando Pablo; Polls, A
    Physica B. Condensed matter
    Vol. 194-96, num. 1, p. 859-860
    Date of publication: 1994-06
    Journal article

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  • Dynamic structure function of 3he-4he mixtures in the deep inelastic regime

     Polls, A; Mazzanti Castrillejo, Fernando Pablo; Boronat Medico, Jordi; Dalfovo, F; Fabrocini, A
    RECENT PROGRESS IN MAN-BODY THEORIES
    p. 101-107
    Presentation of work at congresses

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