Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
arXiv:0709.4264 · doi:10.1103/PhysRevA.77.012112
Abstract
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.
20 pages, 12 figures
References in corpus (31)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Quantum state engineering with Josephson-junction devices
- Coupling Superconducting Qubits via a Cavity Bus
- Resolving photon number states in a superconducting circuit
- Quantum information processing with circuit quantum electrodynamics
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Feedback-control of quantum systems using continuous state-estimation
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Generating Single Microwave Photons in a Circuit
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Quantum information processing with superconducting qubits in a microwave field
- Continuous quantum measurement of a double dot
- Quantum Trajectories and Quantum Measurement Theory
- Selective quantum evolution of a qubit state due to continuous measurement
- Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
- Continuous weak measurement of quantum coherent oscillations
- Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
- Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
- Quantum-Limited Measurement and Information in Mesoscopic Detectors
- Measurement quantum mechanics and experiments on quantum Zeno effect
- Linear stochastic wave-equations for continuously measured quantum systems
- Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems
- Sensitivity and back-action in charge qubit measurements by a strongly coupled single-electron transistor
- A perturbative approach to non-Markovian stochastic Schrödinger equations
- Quantum measurement of coherence in coupled quantum dots
- Nonideal quantum detectors in Bayesian formalism
- Measurement master equation
- Quantum trajectories for the realistic measurement of a solid-state charge qubit
- Stochastic simulations of conditional states of partially observed systems, quantum and classical
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