https://doi.org/10.1140/epjd/e2014-40679-4
Regular Article
Dynamics of a superconducting qubit coupled to the quantized cavity field: a unitary transformation approach
1 Departamento de Física, Instituto de
Ciências Exatas, Universidade Federal de Minas Gerais, 30123-970, Belo Horizonte, MG, Brazil
2 Departamento de Física, Universidade
Estadual de Feira de Santana, 44036-900
Feira de Santana, BA, Brazil
3 Instituto de Física “Gleb Wataghin”,
Universidade Estadual de Campinas, 13083-859
Campinas, SP, Brazil
a
Permanent address: Departamento de Física, Universidade Estadual de
Feira de Santana, 44036-900 Feira de Santana, BA, Brazil.
b
e-mail: vidiella@ifi.unicamp.br
Received:
31
October
2013
Received in final form:
1
April
2014
Published online:
24
July
2014
We present a novel approach for studying the dynamics of a superconducting qubit in a cavity. We succeed in linearizing the Hamiltonian through the application of an appropriate unitary transformation followed by a rotating wave approximation (RWA). For certain values of the parameters involved, we show that it is possible to obtain a Jaynes-Cummings type Hamiltonian. As an example, we show the existence of super-revivals for the qubit inversion.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014
