Strong localization and the exploration of phase space for quantum thermalization

by Doron Cohen

at Physics Colloquium

Tue, 01 May 2018, 15:30
Nanotechnology institute building (#51) room 15

Abstract

We 1 introduce a semiclassical theory for strong localization that may arise in the context of many body thermalization It echos the work of Heller regarding quantum localization and the rate of exploration of phase space 2 The minimal example is a few site Bose Hubbard model that consists of two weakly interacting subsystems that can exchange particles 3 The occupation x satisfies in the classical treatment a Fokker Planck equation 4 with diffusion coefficient D x We demonstrate that it is possible to deduce from the classical description a quantum breaktime and hence the manifestations of a strong localization effect 5 For this purpose it is essential to take the geometry of the energy shell into account and to make a distinction between different notions of phase space exploration We also make a clear distinction between Anderson type localization and semiclassical localization The latter is related to KAM structures in phase space A notable application is the the metastability criteria for the flow states in ring shaped Bose Hubbard superfluid circuits 6 7 1 C Khripkov A Vardi D Cohen Phys Rev E 97 022127 2018 2 E J Heller Phys Rev A 35 1360 1987 3 C Khripkov A Vardi D Cohen New J Phys 17 023071 2015 4 I Tikhonenkov A Vardi J R Anglin D Cohen Phys Rev Lett 110 050401 2013 5 D Cohen V I Yukalov K Ziegler Phys Rev A 93 042101 2016 6 G Arwas A Vardi D Cohen Scientific Reports 5 13433 2015 7 G Arwas D Cohen Phys Rev B 95 054505 2017

Created on 17-04-2018 by Bar Lev, Yevgeny (ybarlev)
Updaded on 17-04-2018 by Bar Lev, Yevgeny (ybarlev)