Equilibration of quantum cat states
- URL: http://arxiv.org/abs/2003.04702v3
- Date: Wed, 17 Jun 2020 09:50:48 GMT
- Title: Equilibration of quantum cat states
- Authors: Tony Jin
- Abstract summary: We study the equilibration properties of isolated ergodic quantum systems initially prepared in a cat state.
Our main result consists in showing that, even though decoherence is at work in the mean, there exists a remnant of the initial quantum coherences visible in the strength of the fluctuations of the steady state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the equilibration properties of isolated ergodic quantum systems
initially prepared in a cat state, i.e a macroscopic quantum superposition of
states. Our main result consists in showing that, even though decoherence is at
work in the mean, there exists a remnant of the initial quantum coherences
visible in the strength of the fluctuations of the steady state. We back-up our
analysis with numerical results obtained on the XXX spin chain with a random
field along the z-axis in the ergodic regime and find good qualitative and
quantitative agreement with the theory. We also present and discuss a framework
where equilibrium quantities can be computed from general statistical ensembles
without relying on microscopic details about the initial state, akin to the
eigenstate thermalization hypothesis.
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