Jarzynski equality for superconducting optical cavities: an alternative path to determine Helmholtz free energy

Josiane Oliveira Rezende de Paula; J. G. Peixoto de Faria; J. G. G. de Oliveira Jr.; Ricardo de Carvalho Falcão; Adélcio C. Oliveira

arXiv · 1901.01133

Jarzynski equality for superconducting optical cavities: an alternative path to determine Helmholtz free energy

Josiane Oliveira Rezende de Paula·J. G. Peixoto de Faria·J. G. G. de Oliveira Jr.·Ricardo de Carvalho Falcão·Adélcio C. Oliveira

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Abstract

A superconducting cavity model was proposed as a way to experimentally investigate the work performed in a quantum system. We found a simple mathematical relationship between the free energy variation and visibility measurement in quantum cavity context. If we consider the difference of Hamiltonian at time $t_0$ and $t_\lambda$ (protocol time) as a quantum work, then the Jarzynski equality is valid and the visibility can be used to determine the work done on the cavity.

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Josiane Oliveira Rezende de Paula, J. G. Peixoto de Faria, J. G. G. de Oliveira Jr., Ricardo de Carvalho Falcão, Adélcio C. Oliveira. 2019-01-04. Jarzynski equality for superconducting optical cavities: an alternative path to determine Helmholtz free energy. https://arxiv.org/abs/1901.01133

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