Eur. Phys. J. D 47, 133-149 (2008)
https://doi.org/10.1140/epjd/e2008-00039-9

Dissipative dynamics of circuit-QED in the mesoscopic regime

¹ CNRS-Laboratoire de Physique de l'École Normale Supérieure de Lyon, 46 allée d'Italie, 69007 Lyon, France
² Departement of Physics, Boston University, 590 Commonwealth avenue, Boston, MA, 02251, USA

Corresponding author: ^a Pascal.Degiovanni@ens-lyon.fr

Received: 10 September 2007
Revised: 12 December 2007
Published online: 5 March 2008

Abstract

We investigate the behavior of a circuit QED device when the resonator is initially populated with a mesoscopic coherent field. The strong coupling between the cavity and the qubit produces an entangled state involving mesoscopic quasi-pointer states with respect to cavity dissipation. The overlap of the associated field components results in collapses and revivals for the Rabi oscillation. Although qubit relaxation and dephasing do not preserve these states, a simple analytical description of the dissipative dynamics of the circuit QED device including cavity relaxation as well as qubit dissipation is obtained from the Monte-Carlo approach. Explicit predictions for the spontaneous and induced Rabi oscillation signals are derived and successfully compared with exact calculations. We show that these interesting effects could be observed with a 10 photon field in forthcoming circuit QED experiments.