CaltechAUTHORS
  A Caltech Library Service

Universal subdiffusion in strongly tilted many-body systems

Zhang, Pengfei (2020) Universal subdiffusion in strongly tilted many-body systems. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200601-095228090

[img] PDF - Submitted Version
See Usage Policy.

443kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200601-095228090

Abstract

The quantum dynamics away from equilibrium is of fundamental interest for interacting many-body systems. In this letter, we study tilted many-body systems using the effective Hamiltonian derived from the microscopic description. We first give general arguments for the density relaxation rate satisfying 1/τ∝k⁴ for a large class of systems, including the Fermi Hubbard model case as observed in the the recent experiment [1]. Here k is the wave vector of the density wave. The main ingredients are the emergence of the reflection symmetry and dipole moment conservation to the leading non-trivial order of the large tilted strength. To support our analysis, we then construct a solvable model with large local Hilbert space dimension by coupling sites discribed by the Sachdev-Ye-Kitaev models, where the density response can be computed explicitly. The the tilt strength and the temperature dependence of the subdiffusion constant are also discussed.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2004.08695arXivDiscussion Paper
ORCID:
AuthorORCID
Zhang, Pengfei0000-0002-4226-1394
Additional Information:We would like to thank Lei Pan for bringing our attention to the experiment [1].
Group:UNSPECIFIED, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Record Number:CaltechAUTHORS:20200601-095228090
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200601-095228090
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103581
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Jun 2020 18:07
Last Modified:04 Jun 2020 10:35

Repository Staff Only: item control page