Scientific article
Open access

Equilibration of quantum cat states

ContributorsJin, Zizhuo Tony
Published inSciPost physics, vol. 9, no. 1, 004
Publication date2020-07-08
First online date2020-07-08

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.

Citation (ISO format)
JIN, Zizhuo Tony. Equilibration of quantum cat states. In: SciPost physics, 2020, vol. 9, n° 1, p. 004. doi: 10.21468/SciPostPhys.9.1.004
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Article (Published version)
ISSN of the journal2542-4653

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