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Towards the Web of Quantum Chaos Diagnostics

Bhattacharyya, Arpan and Chemissany, Wissam and Haque, S. Shajidul and Yang, Bin (2019) Towards the Web of Quantum Chaos Diagnostics. . (Submitted)

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We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs. Novel applications of this intrinsic relation are proposed. We also propose a relationship between a specific circuit complexity and LE by using the inverted oscillator model. These relationships signal a deeper connection between these three probes of quantum chaos.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:The authors would like to thank Aritra Banerjee, Jordan Colter, Jorge Kurchan and Dan Roberts for useful discussions and email exchanges. W.A.C would like to thank the Institute for Quantum Information and Matter (IQIM), Caltech, for the ongoing stimulating environment from which the author has been significantly benefited. W.A.C gratefully acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC). B. Y. has been supported in part by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division, Condensed Matter Theory Program. AB is supported by JSPS Grant-in-Aid for JSPS fellows 17F17023.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
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Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Department of Energy (DOE)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)17F17023
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Record Number:CaltechAUTHORS:20190910-112124494
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98548
Deposited By: Joy Painter
Deposited On:10 Sep 2019 18:27
Last Modified:04 Jun 2020 10:14

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