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 B44: Dynamics of Quenched and Driven Quantum Systems I
11:30 AM–2:30 PM,
Monday, March 15, 2021
Sponsoring
Unit:
DCMP
Chair: Ettore Vitali, California State University, Fresno
Abstract: B44.00005 : Systematic large flavor fTWA approach to interaction quenches*
12:18 PM–12:30 PM
Live
Presenter:
Alexander Osterkorn
(Institute for Theoretical Physics, University of Göttingen)
Authors:
Alexander Osterkorn
(Institute for Theoretical Physics, University of Göttingen)
Stefan Kehrein
(Institute for Theoretical Physics, University of Göttingen)
A new semiclassical approach to compute the quantum dynamics of fermions was recently developed by Davidson et. al. [1], the fermionic truncated Wigner approximation (fTWA).
In this talk, we adopt the method and combine it with the limit of high fermion degeneracy N as a well-defined semiclassical expansion parameter.
We first take the well-known problem of an interaction quench in the two-dimensional Hubbard model to show that the method correctly describes prethermalization [2]. In addition we discuss whether the long-time thermalization dynamics is reproduced as well.
As a second application we consider quenches in ordered phases of the large-N Hubbard-Heisenberg model and show that the semiclassical time-evolution leads to dephasing and subsequent decay of the order parameter.
[1] SM Davidson et. al., Annals of Physics 384, pages 128-141 (2017)
[2] A Osterkorn and S Kehrein, arXiv:2007.05063
*This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 217133147/SFB 1073, project B07.
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