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Published June 1, 2020 | Submitted
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Universal subdiffusion in strongly tilted many-body systems

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.

Additional Information

We would like to thank Lei Pan for bringing our attention to the experiment [1].

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Submitted - 2004.08695.pdf

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August 22, 2023
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