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Strongly and Weakly Interacting Ultracold Quantum Matter

Total activity: 1
Type of activity
Competitive project
Funding entity
Funding entity code
69.575,00 €
Start date
End date
Materia Cuántica Ultrafria, Monte Carlo Cuántico, Quantum Monte Carlo, SIstemas fuertemente Correlacionados, Strongly Correlated Systems, Ultracold Quantum Matter, Weakly Interacting
The main objective in our research group is the use and development of quantum Monte Carlo simulation techniques, in order to study the
behavior of ultracold quantum matter in the strongly and weakly interacting regimes. The proposal explained in this document constitues
the natural extension of the scientific work carried out by our group along the years, thanks to the financial support received from the
Ministerio for the last than fifty years. Once again and as done before, we join efforts with a research tem from the Universiad Pablo de
Olavide in order to present a coordinated project. In summary, we plan to work on two main general topics: a) the analysis of ultracold
microscopic quantum systems of bosons and fermions by means of Monte Carlo simulations, where their quantum nature is seen at a
macroscopic level, and in different interaction regimes, dimensionalities, geometries, etc. b) the improvement of the simulation methods
developed by our group (and others), as well as the dessign of new techniques in order to study new systems with different physics.
In reference to point a), we plan to find: the phase diagram of dipolar fermions in 2D with arbitrary polarization strength and direction, the
Berezinskii-Kosterlitz-Thouless (BKT) transition temperature along the gas-stripe transition line for dipolar bosons and fermions, the
emergence of several-particle bound states in few-body dipoles on a bilayer configuration, the phase diagram of bosons under
synthetically created SOC interactions, the study and analysis of dipolar droplets and ultradilute liquid-like droplets in bosonic mixtures, as
well as the analysis of polaron physics in one and two dimensions. We also plan to continue our study of Graphaite on Helium, and to
study ultracold femi mixtures showing SU(N) symmetry.
In reference to point b), we want to: analyze and build computer codes that implement time-dependent variational Monte Carlo techniques,
allowing for the ground state optimization of bose and Fermi ground state wave functions, as well as provide accurate estimations of the
(real time) dynamic structure function; extend our existing path integral ground state (PIGS) codes to evaluate the response function in
complex time in many-body systems; and work in the design and implementation of diffusion Monte Carlo codes that include the sampling
of systems with spin degrees of freedom in order to study Bose gases with SOC coupling.


Scientific and technological production

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  • Weighted contrastive divergence

     Romero, E.; Mazzanti, F.; Delgado, J.; Buchaca, D.
    Neural networks
    Vol. 114, p. 147-156
    DOI: 10.1016/j.neunet.2018.09.013
    Date of publication: 2019-06
    Journal article