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Scientific article
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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
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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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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ISSN of the journal2542-4653
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