Thermalization of locally perturbed many-body quantum systems
- URL: http://arxiv.org/abs/2202.00271v1
- Date: Tue, 1 Feb 2022 08:16:05 GMT
- Title: Thermalization of locally perturbed many-body quantum systems
- Authors: Lennart Dabelow, Patrick Vorndamme, and Peter Reimann
- Abstract summary: We analytically demonstrate that systems satisfying the weak eigenstate thermalization hypothesis exhibit thermalization for two very natural classes of far-from-equilibrium initial conditions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Deriving conditions under which a macroscopic system thermalizes directly
from the underlying quantum many-body dynamics of its microscopic constituents
is a long-standing challenge in theoretical physics. The well-known eigenstate
thermalization hypothesis (ETH) is presumed to be a key mechanism, but has
defied rigorous verification for generic systems thus far. A weaker variant
(weak ETH), by contrast, is provably true for a large variety of systems,
including even many integrable models, but its implications with respect to the
problem of thermalization are still largely unexplored. Here we analytically
demonstrate that systems satisfying the weak ETH exhibit thermalization for two
very natural classes of far-from-equilibrium initial conditions: the
overwhelming majority of all pure states with a preset non-equilibrium
expectation value of some given local observable, and the Gibbs states of a
Hamiltonian which subsequently is subject to a quantum quench in the form of a
sudden change of some local system properties.
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