Dynamics of a superconducting qubit coupled to the quantized cavity field : a unitary transformation approach

Agradecimentos: D.S.F. thanks the financial support from Conselho Nacional de Desenvolvimento Cientifico e Tecnologico-CNPq (150232/2012-8), Brazil. We thank FAPESP and CNPq for financial support through the National Institute for Science and Technology of Quantum Information (INCT-IQ) and the Optics and Photonics Research Center (CePOF) Abstract: 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 FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ Aberto