Many-body localization in the Bose-Hubbard model: Evidence for mobility edge

Ruixiao Yao and Jakub Zakrzewski
Phys. Rev. B 102, 014310 – Published 21 July 2020

Abstract

Motivated by recent experiments on interacting bosons in a quasi-one-dimensional optical lattice [M. Rispoli et al., Nature (London) 573, 385 (2019)], we analyze theoretically properties of the system in the crossover between delocalized and localized regimes. Comparison of time dynamics for uniform and density-wave-like initial states enables a demonstration of the existence of the mobility edge. To this end we define a different observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. We also show that the mean velocity growth of occupation fluctuations close to the edges of the system carries similar information. Using the quantum quench procedure, we show that it is possible to probe the mobility edge for different energies.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
4 More
  • Received 8 February 2020
  • Revised 7 July 2020
  • Accepted 8 July 2020

DOI:https://doi.org/10.1103/PhysRevB.102.014310

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Ruixiao Yao1 and Jakub Zakrzewski2,3,*

  • 1School of Physics, Peking University, Beijing 100871, China
  • 2Institute of Theoretical Physics, Jagiellonian University in Krakow, Łojasiewicza 11, 30-348 Kraków, Poland
  • 3Mark Kac Complex Systems Research Center, Jagiellonian University in Krakow, 30-348 Kraków, Poland

  • *jakub.zakrzewski@uj.edu.pl

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 102, Iss. 1 — 1 July 2020

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×