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 A44: Correlated Chains and 1D Systems
8:00 AM–11:00 AM,
Monday, March 15, 2021
Sponsoring
Unit:
DCMP
Chair: Yonko Millev, American Physical Society
Abstract: A44.00012 : Far-from-equilibrium dynamics in open fermion chains*
10:12 AM–10:24 AM
Live
Presenter:
Miguel Moreira de Oliveira
(CeFEMA, Instituto Superior Técnico)
Authors:
Miguel Moreira de Oliveira
(CeFEMA, Instituto Superior Técnico)
Pedro Ribeiro
(CeFEMA, Instituto Superior Técnico)
Stefan Kirchner
(Zhejiang Institute of Modern Physics, Zhejiang University)
One such system, the spinless fermion t-V model on the chain, equivalent to the spin XXZ model, has been extensively studied both numerically and analytically. It showcases ballistic, diffusive and insulating behavior depending on the interaction and driving strength.
Earlier results for the spin model on a ladder indicate that the ballistic regime appears to be absent. This model is however fundamentally different from the fermion version, due to non-trivial string operators that arise as a result of the Jordan-Wigner transformation, which renders earlier conclusions inapplicable.
In addition to the MPS based methods we use a Gaussian steady state approach to study the mentioned models as a more efficient way of exploring the phase diagram. Additionally this allows us to determine which mean field decouplings play a more important role paving the way for the development of a field theory for the out of equilibrium ballistic-diffusive-insulating transition. We also explore the differences between the fermion and spin ladder, in particular showing that the former can exhibit ballistic behavior.
*FCT with grant number SFRH/BD/137446/2018
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