Thermalization Dynamics and Many Body Localization

by Yevgeny Bar Lev

at Condensed Matter Seminar

Mon, 26 Dec 2016, 11:30
Physics building (#54) room 207

Abstract

Remarkably a generic interacting system with many degrees of freedom is often well described by a random matrix drawn from an appropriate ensemble which solely relies on the symmetries of the system This is one of the central premises of quantum chaos theory which explains the fascinating universality of statistical properties of igenvalues and eigenstates of generic systems Such systems slightly pushed out of equilibrium are normally expected to relax diffusively In this talk I will show that disordered and interacting systems which exhibit a many body localization MBL transition behave in a strikingly different manner than expected from the above tenets in both one dimensional 1 2 and two dimensional systems 3 These systems thermalize subdiffusively have a vanishing diffusion coefficient and cannot be described by usual random matrix ensembles 4 I will show the implications of these results on thermalization in closed quantum systems and will derive a general relation between statistical properties of matrix elements of physical observables and a dynamical property of the system 4 I will finish my talk by presenting some promising future directions 5 References: 1 Bar Lev and Reichman Phys Rev B 89 220201 R 2014 2 Bar Lev Cohen and Reichman Phys Rev Lett 114 100601 2015 3 Bar Lev and Reichman EPL 113 46001 2016 4 Luitz and Bar Lev Phys Rev Lett 117 170404 2016 5 Luitz and Bar Lev Ann Phys arXiv:1610 08993 invited review 2016

Created on 20-12-2016 by Bar Lev, Yevgeny (ybarlev)
Updaded on 20-12-2016 by Bar Lev, Yevgeny (ybarlev)