Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect

Details Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect

2007-09-26

arxiv.org/abs/0709.4264v2

Phys. Rev. A 77, 012112 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 12 figures

Scientific paper

10.1103/PhysRevA.77.012112

We present a theoretical study of a superconducting charge qubit dispersively coupled to a transmission line resonator. Starting from a master equation description of this coupled system and using a polaron transformation, we obtain an exact effective master equation for the qubit. We then use quantum trajectory theory to investigate the measurement of the qubit by continuous homodyne measurement of the resonator out-field. Using the same porlaron transformation, a stochastic master equation for the conditional state of the qubit is obtained. From this result, various definitions of the measurement time are studied. Furthermore, we find that in the limit of strong homodyne measurement, typical quantum trajectories for the qubit exhibit a crossover from diffusive to jump-like behavior. Finally, in the presence of Rabi drive on the qubit, the qubit dynamics is shown to exhibit quantum Zeno behavior.

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