Phenomenology of the Prethermal Many-Body Localized Regime
- URL: http://arxiv.org/abs/2207.05761v2
- Date: Tue, 1 Aug 2023 14:17:22 GMT
- Title: Phenomenology of the Prethermal Many-Body Localized Regime
- Authors: David M. Long, Philip J. D. Crowley, Vedika Khemani, Anushya Chandran
- Abstract summary: Theory must now account for a large prethermal many-body localized (MBL) regime in which thermalization is extremely slow, but not completely arrested.
We derive a quantitative description of these dynamics using a model of successive many-body resonances.
Successive resonances may also underlie slow thermalization in strongly disordered systems in higher dimensions, or with long-range interactions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The dynamical phase diagram of interacting disordered systems has seen
substantial revision over the past few years. Theory must now account for a
large prethermal many-body localized (MBL) regime in which thermalization is
extremely slow, but not completely arrested. We derive a quantitative
description of these dynamics in short-ranged one-dimensional systems using a
model of successive many-body resonances. The model explains the decay
timescale of mean autocorrelators, the functional form of the decay - a
stretched exponential - and relates the value of the stretch exponent to the
broad distribution of resonance timescales. The Jacobi method of matrix
diagonalization provides numerical access to this distribution, as well as a
conceptual framework for our analysis. The resonance model correctly predicts
the stretch exponents for several models in the literature. Successive
resonances may also underlie slow thermalization in strongly disordered systems
in higher dimensions, or with long-range interactions.
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