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 (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200601-095228090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