Quantum work for sudden quenches in Gaussian random Hamiltonians

dc.creatorCavalcante, Eric Gomes Arrais
dc.creatorWisniacki, Diego A.
dc.creatorCéleri, Lucas Chibebe
dc.creatorAlmeida, Norton Gomes de
dc.creatorRoncaglia, Augusto J.
dc.creatorToscano, Fabricio
dc.date.accessioned2024-02-27T12:02:06Z
dc.date.available2024-02-27T12:02:06Z
dc.date.issued2018
dc.description.abstractIn the context of nonequilibrium quantum thermodynamics, variables like work behave stochastically. A particular definition of the work probability density function (pdf) for coherent quantum processes allows the verification of the quantum version of the celebrated fluctuation theorems, due to Jarzynski and Crooks, that apply when the system is driven away from an initial equilibrium thermal state. Such a particular pdf depends basically on the details of the initial and final Hamiltonians, on the temperature of the initial thermal state, and on how some external parameter is changed during the coherent process. Using random matrix theory we derive a simple analytic expression that describes the general behavior of the work characteristic function G(u), associated with this particular work pdf for sudden quenches, valid for all the traditional Gaussian ensembles of Hamiltonians matrices. This formula well describes the general behavior of G(u) calculated from single draws of the initial and final Hamiltonians in all ranges of temperatures.
dc.identifier.citationARRAIS, Eric G. et al. Quantum work for sudden quenches in Gaussian random Hamiltonians. Physical Review E, College Park, v. 98, e012106, 2018. DOI: 10.1103/PhysRevE.98.012106. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.012106. Acesso em 24 fev. 2025.
dc.identifier.doi10.1103/PhysRevE.98.012106
dc.identifier.issn2470-0045
dc.identifier.issne- 2470-0053
dc.identifier.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.012106
dc.language.isoeng
dc.publisher.countryEstados unidos
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.titleQuantum work for sudden quenches in Gaussian random Hamiltonians
dc.typeArtigo

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