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Arrais, E.G.; Wisniacki, D.A.; Céleri, L.C.; De Almeida, N.G.; Roncaglia, A.J.; Toscano, F. "Quantum work for sudden quenches in Gaussian random Hamiltonians" (2018) Physical Review E. 98(1)
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Abstract:

In 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. © 2018 American Physical Society.

Registro:

Documento: Artículo
Título:Quantum work for sudden quenches in Gaussian random Hamiltonians
Autor:Arrais, E.G.; Wisniacki, D.A.; Céleri, L.C.; De Almeida, N.G.; Roncaglia, A.J.; Toscano, F.
Filiación:Instituto de Física, Universidade Federal Do Rio de Janeiro, Rio de Janeiro, 21941-972, Brazil
Departamento de Física J. J. Giambiagi, IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Instituto de Física, Universidade Federal de Goiás, Goiânia, 74001-970, Brazil
Palabras clave:Density functional theory; Probability density function; Quantum theory; Random variables; Thermodynamics; Analytic expressions; Characteristic functions; Fluctuation theorems; Hamiltonians matrices; Initial equilibriums; Probability density function (pdf); Quantum thermodynamics; Random matrix theory; Hamiltonians
Año:2018
Volumen:98
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.98.012106
Título revista:Physical Review E
Título revista abreviado:Phys. Rev. E
ISSN:24700045
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v98_n1_p_Arrais

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Citas:

---------- APA ----------
Arrais, E.G., Wisniacki, D.A., Céleri, L.C., De Almeida, N.G., Roncaglia, A.J. & Toscano, F. (2018) . Quantum work for sudden quenches in Gaussian random Hamiltonians. Physical Review E, 98(1).
http://dx.doi.org/10.1103/PhysRevE.98.012106
---------- CHICAGO ----------
Arrais, E.G., Wisniacki, D.A., Céleri, L.C., De Almeida, N.G., Roncaglia, A.J., Toscano, F. "Quantum work for sudden quenches in Gaussian random Hamiltonians" . Physical Review E 98, no. 1 (2018).
http://dx.doi.org/10.1103/PhysRevE.98.012106
---------- MLA ----------
Arrais, E.G., Wisniacki, D.A., Céleri, L.C., De Almeida, N.G., Roncaglia, A.J., Toscano, F. "Quantum work for sudden quenches in Gaussian random Hamiltonians" . Physical Review E, vol. 98, no. 1, 2018.
http://dx.doi.org/10.1103/PhysRevE.98.012106
---------- VANCOUVER ----------
Arrais, E.G., Wisniacki, D.A., Céleri, L.C., De Almeida, N.G., Roncaglia, A.J., Toscano, F. Quantum work for sudden quenches in Gaussian random Hamiltonians. Phys. Rev. E. 2018;98(1).
http://dx.doi.org/10.1103/PhysRevE.98.012106