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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Out-of-time-order fluctuation-dissipation theorem

arXiv
Authors: Naoto Tsuji, Tomohiro Shitara, Masahito Ueda

Year

2016

Paper ID

41557

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

We prove a generalized fluctuation-dissipation theorem for a certain class of out-of-time-ordered correlators (OTOCs) with a modified statistical average, which we call bipartite OTOCs, for general quantum systems in thermal equilibrium. The difference between the bipartite and physical OTOCs defined by the usual statistical average is quantified by a measure of quantum fluctuations known as the Wigner-Yanase skew information. Within this difference, the theorem describes a universal relation between chaotic behavior in quantum systems and a nonlinear-response function that involves a time-reversed process. We show that the theorem can be generalized to higher-order n-partite OTOCs as well as in the form of generalized covariance.

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  • We prove a generalized fluctuation-dissipation theorem for a certain class of out-of-time-ordered correlators (OTOCs) with a modified statistical average, which we call...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.08781 [2] arXiv https://arxiv.org/abs/1612.08781 [3] Publisher https://arxiv.org/abs/1612.08781

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