Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 14: Dynamics in many-body systems: interference, equilibration and localization II (joint session DY/TT)
DY 14.9: Talk
Monday, March 12, 2018, 17:30–17:45, EB 107
Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations — •Giuseppe De Tomasi1, Frank Pollmann2, Markus Heyl1, Shreya Vardhan3, and Eric Heller4 — 1MPIPKS, Dresden, Germany — 2TMU, Munich, Germany — 3MIT, Cambridge, USA — 4Harvard, Cambridge, USA
We study the effects of local perturbations on the dynamics of disordered fermionic systems in order to characterize time-irreversibility. We focus on three different systems, the non-interacting Anderson and Aubry-André-Harper (AAH-) models, and the interacting spinless disordered t-V chain. First, we consider the effect on the full many-body wave-functions by measuring the Loschmidt echo (LE). We show that in the extended/ergodic phase the LE decays exponentially fast with time, while in the localized phase the decay is algebraic. We demonstrate that the exponent of the decay of the LE in the localized phase diverges proportionally to the single-particle localization length as we approach the metal-insulator transition in the AAH model. Second, we probe different phases of disordered systems by studying the time expectation value of local observables evolved with two Hamiltonians that differ by a spatially local perturbation. Remarkably, we find that many-body localized systems could lose memory of the initial state in the long-time limit, in contrast to the non-interacting localized phase where some memory is always preserved.