Towards the web of quantum chaos diagnostics

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dc.contributor.author Bhattacharyya, Arpan
dc.contributor.author Chemissany, Wissam
dc.contributor.author Haque, S. Shajidul
dc.contributor.author Yan, Bin
dc.coverage.spatial United Kingdom
dc.date.accessioned 2022-02-16T08:48:06Z
dc.date.available 2022-02-16T08:48:06Z
dc.date.issued 2022-01
dc.identifier.citation Bhattacharyya, Arpan; Chemissany, Wissam; Haque, S. Shajidul and Yan, Bin, "Towards the web of quantum chaos diagnostics", The European Physical Journal C, DOI: 10.1140/epjc/s10052-022-10035-3, vol. 82, no. 1, Jan. 2022. en_US
dc.identifier.issn 1434-6044
dc.identifier.issn 1434-6052
dc.identifier.uri https://doi.org/10.1140/epjc/s10052-022-10035-3
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7521
dc.description.abstract 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 investigated the relationship between a specific circuit complexity and LE by using the inverted oscillator model and made a conjecture about their relationship. These relationships signal a deeper connection between these three probes of quantum chaos.
dc.description.statementofresponsibility by Arpan Bhattacharyya, Wissam Chemissany, Shajidul S. Haque and Bin Yan
dc.format.extent vol. 82, no. 1
dc.language.iso en_US en_US
dc.publisher SpringerOpen en_US
dc.subject Chaos diagnostics en_US
dc.subject OTOC en_US
dc.subject Loschmidt echo en_US
dc.subject Quantum chaos en_US
dc.subject Hamiltonian en_US
dc.title Towards the web of quantum chaos diagnostics en_US
dc.type Article en_US
dc.relation.journal The European Physical Journal C


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