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.date.accessioned 2020-11-20T07:45:54Z
dc.date.available 2020-11-20T07:45:54Z
dc.date.issued 2020-11
dc.identifier.citation Bhattacharyya, Arpan; Haque, S. Shajidul and Kim, Eugene H., "Complexity from the reduced density matrix: a new diagnostic for chaos", arXiv, Cornell University Library, DOI: arXiv:2011.04705, Nov. 2020. en_US
dc.identifier.uri https://arxiv.org/abs/2011.04705
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/5888
dc.description.abstract We investigate circuit complexity to characterize chaos in multiparticle quantum systems; concomitantly, we take strides in using complexity to characterize open quantum systems. By exploring different types of quantum circuits, we propose a new diagnostic of chaos from complexity based on the reduced density matrix. Through explicit calculations on a model of two coupled harmonic oscillators where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is an effective diagnostic of chaos.
dc.description.statementofresponsibility by Arpan Bhattacharyya, S. Shajidul Haque and Eugene H. Kim
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.subject Chaotic Dynamics en_US
dc.subject High Energy en_US
dc.subject Quantum Physics en_US
dc.title Complexity from the reduced density matrix: a new diagnostic for chaos en_US
dc.type Pre-Print en_US
dc.relation.journal arXiv


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