A. Shabani, J. Roden, K. B. Whaley
Cavity and circuit quantum electrodynamics (CQED) technologies have progressed significantly during recent years, enabling real-time monitoring and control of quantum systems, yet their potential for quantum tomography or spectroscopy is largely unexplored. We develop here a CQED formalism for monitoring the dynamics of a complex quantum system, deriving a set of Stochastic Hierarchy Equations of Motion to describe continuous measurement in presence of non-perturbative and non-Markovian decoherence effects. Using the cavity as a probe enables us to engineer a continuous measurement observable by tuning either the cavity frequency, the cavity drive phase or the detector phase. This turns the cavity into a tool for continuous quantum state tomography with no need for active control. We further demonstrate that time correlations of the detector record can provide a spectroscopic probe of the non-Markovian nature of the decoherence dynamics.
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http://arxiv.org/abs/1307.2101
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