Continuous measurement of a non-Markovian open quantum system.
Continuous quantum measurement is the backbone of various methods in quantum control, quantum metrology, and quantum information. Here, we present a generalized formulation of dispersive measurement of a complex quantum systems. We describe the complex system as an open quantum system that is strongly coupled to a non-Markovian environment, enabling the treatment of a broad variety of natural or engineered complex systems. The system is monitored via a probe resonator coupled to a broadband (Markovian) reservoir. Based on this model, we derive a formalism of stochastic hierarchy equations of motion describing the decoherence dynamics of the system conditioned on the measurement record. Furthermore, we demonstrate a spectroscopy method based on weak quantum measurement to reveal the non-Markovian nature of the environment, which we term weak spectroscopy.
Berkeley Center for Quantum Information and Computation, Berkeley, California 94720, USA and Department of Chemistry, University of California, Berkeley, California 94720, USA.
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A
Shabani
Berkeley Center for Quantum Information and Computation, Berkeley, California 94720, USA and Department of Chemistry, University of California, Berkeley, California 94720, USA.
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J
Roden
Berkeley Center for Quantum Information and Computation, Berkeley, California 94720, USA and Department of Chemistry, University of California, Berkeley, California 94720, USA.
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Whaley