Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement

Abstract

An ever broader range of physical platforms provides the possibility to study and engineer quantum dynamics under continuous measurements. In many experimental arrangements the system of interest is monitored by means of an ancillary device, whose sole purpose is to transduce the signal from the system to the measurement apparatus. Here, we present a method of adiabatic elimination when the transducer consists of an arbitrary number of bosonic modes with Gaussian dynamics while the measured object can be any quantum system. Crucially, our approach can cope with the highly relevant case of finite temperature of the transducer, which is not easily achieved with other methods. We show that this approach provides a significant improvement in the readout of superconducting qubits in circuit QED already for a few thermal excitations, and admits to adiabatically eliminate optomechanical transducers.

13 pages + Appendix, 8 figures

References in corpus (14)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Opto-mechanical transducers for long-distance quantum communication
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Mapping the optimal route between two quantum states
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Optical wavelength conversion of quantum states with optomechanics
• Initialization by measurement of a two-qubit superconducting circuit
• Entanglement-enhanced time-continuous quantum control in optomechanics
• Adiabatic elimination in quantum stochastic models
• Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode
• An opto-magneto-mechanical quantum interface between distant superconducting qubits

Cited by in corpus (11)

• Theory of a Quantum Scanning Microscope for Cold Atoms
• Measurement-Induced Long-Distance Entanglement of Superconducting Qubits using Optomechanical Transducers
• Unconditional steady-state entanglement in macroscopic hybrid systems by coherent noise cancellation
• Strong Mechanical Squeezing for a Levitated Particle by Coherent Scattering
• Interference effects in hybrid cavity optomechanics
• Projection based adiabatic elimination of bipartite open quantum systems
• Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics
• Quartz-superconductor quantum electromechanical system
• On the Small Mass Limit of Quantum Brownian Motion with Inhomogeneous Damping and Diffusion
• Trajectories without quantum uncertainties in composite systems with disparate energy spectra
• Towards generic adiabatic elimination for bipartite open quantum systems