Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session H71: Poster Session I (2:00pm - 4:00pm)
2:00 PM,
Tuesday, March 16, 2021
Abstract: H71.00276 : Quantum fluctuations on top of the Gutzwiller approximation in the Bose-Hubbard model: static and dynamical correlations
Presenter:
Fabio Caleffi
(SISSA)
Authors:
Fabio Caleffi
(SISSA)
Alessio Recati
(INO-CNR BEC Centre, University of Trento)
Iacopo Carusotto
(INO-CNR BEC Centre, University of Trento)
Massimo Capone
(SISSA)
Ines de Vega
(Department of Physics, Ludwig Maximilian University of Munich)
Chiara Menotti
(INO-CNR BEC Centre, University of Trento)
The approach provides accurate results throughout the whole BH phase diagram, from the weakly to the strongly interacting superfluid and across the superfluid-Mott transition [1]. Specifically, we provide (1) a semi-analytical expression for the superfluid stiffness in terms of two-particle correlations between the collective modes of the system and (2) a precise estimation for density fluctuations, for which a quantitative agreement with quantum Monte Carlo data is found.
The predictive power of our approach is shown to include dynamical problems, as the pure dephasing of a two-level impurity in a BH environment [2]. Our description of BH quantum correlations allows to go beyond the standard spin-boson model and, in particular, to find that the decoherence dynamics is extremely sensitive to the universality class of the superfluid-Mott transition.
[1] F. Caleffi, M. Capone, C. Menotti, I. Carusotto, and A. Recati, Phys. Rev. Research 2, 033276 (2020)
[2] F. Caleffi, M. Capone, I. de Vega, and A. Recati, In preparation
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