Complexity from the reduced density matrix: a new diagnostic for chaos

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dc.contributor.author Bhattacharyya, Arpan
dc.contributor.author Haque, S. Shajidul
dc.contributor.author Kim, Eugene H.
dc.coverage.spatial Germany
dc.date.accessioned 2021-10-28T10:20:06Z
dc.date.available 2021-10-28T10:20:06Z
dc.date.issued 2021-10
dc.identifier.citation Bhattacharyya, Arpan; Haque, S. Shajidul and Kim, Eugene H., "Complexity from the reduced density matrix: a new diagnostic for chaos", Journal of High Energy Physics, DOI: 10.1007/JHEP10(2021)028, vol. 2021, no. 10, Oct. 2021. en_US
dc.identifier.issn 1126-6708
dc.identifier.issn 1029-8479
dc.identifier.uri https://doi.org/10.1007/JHEP10(2021)028
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7224
dc.description.abstract We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.
dc.description.statementofresponsibility by Arpan Bhattacharyya, S. Shajidul Haque and Eugene H. Kim
dc.format.extent vol. 2021, no. 10
dc.language.iso en_US en_US
dc.publisher Springer Verlag en_US
dc.subject AdS-CFT Correspondence en_US
dc.subject Gauge-gravity correspondence en_US
dc.title Complexity from the reduced density matrix: a new diagnostic for chaos en_US
dc.type Article en_US
dc.relation.journal Journal of High Energy Physics


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