https://doi.org/10.1140/epjd/s10053-020-00028-w
Regular Article - Quantum Optics
The quantum Jarzynski inequality for superconducting optical cavities
1
UNA, Conselheiro Lafaiete, 36400-107, Belo Horizonte, MG, Brazil
2
Escola Estadual Cônego Luiz Vieira da Silva, 36420-000, Ouro Branco, MG, Brazil
3
Departamento de Matemática, Centro Federal de Educação Tecnológica de Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil
4
Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, 45662–900, Ilhéus, BA, Brazil
5
Departamento de Estatística, Física e Matemática, Universidade Federal de São João Del Rei, C.P. 131, 36420-000, Ouro Branco, MG, Brazil
Received:
15
October
2020
Accepted:
5
November
2020
Published online:
21
January
2021
The quantum version of Jarzynski equality was theoretically investigated for the work operator in the interaction picture. Since the Hamiltonian is time-dependent, it does not commute with itself at different times, then we have solved analytically its dynamics with lie-algebraic techniques. The physical object is a superconducting optical cavity. It was shown that the quantum dynamics of a cavity does not obey Jarzynski’s equality in the small temperature regime 
, if we consider a quantum work operator defined in a protocol interaction picture. The case of higher temperatures 
we are in Jarzynski regime and Jarzynski equality can be used to obtain statistical information about work done on the cavity. Since, for all used parameters, the state is a thermal state and its dynamics is of the harmonic oscillator, then this quantum regime is related to the protocol action. The protocol can be implemented by injecting a field in the cavity, thus it creates quantum resources.
© EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
