[Phys-seminars] 2018-05-01 Physics Colloquium

eichler eichler at bgu.ac.il
Tue Apr 17 23:39:36 IDT 2018

Physics Colloquium

 DATE: 01-05-18

 TIME: 15:30

 PLACE: Nanotechnology institute building (#51) room 15

Strong localization and the exploration of phase space for quantum thermalization

Prof. Doron Cohen, BGU

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 applic
 ation 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).

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