Entanglement-enhanced time-continuous quantum control in optomechanics

Abstract

The cavity-optomechanical radiation pressure interaction provides the means to create entanglement between a mechanical oscillator and an electromagnetic field interacting with it. Here we show how we can utilize this entanglement within the framework of time-continuous quantum control, in order to engineer the quantum state of the mechanical system. Specifically, we analyze how to prepare a low-entropy mechanical state by (measurement-based) feedback cooling operated in the blue detuned regime, the creation of bipartite mechanical entanglement via time-continuous entanglement swapping, and preparation of a squeezed mechanical state by time-continuous teleportation. The protocols presented here are feasible in optomechanical systems exhibiting a cooperativity larger than 1.

18 pages, 12 figures

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• Simulation methods for open quantum many-body systems
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• Observing and Verifying the Quantum Trajectory of a Mechanical Resonator
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• Light-mediated strong coupling between a mechanical oscillator and atomic spins one meter apart
• Ultrastrong parametric coupling between a superconducting cavity and a mechanical resonator
• Ultimate limits for quantum magnetometry via time-continuous measurements
• Nonreciprocal Photon-Phonon Entanglement in Kerr-Modified Spinning Cavity Magnomechanics
• Quantum cooling and squeezing of a levitating nanosphere via time-continuous measurements
• Daemonic ergotropy in continuously-monitored open quantum batteries
• Remote Hamiltonian Interactions Mediated by Light
• Optimal Control of Hybrid Optomechanical Systems for Generating Non-Classical States of Mechanical Motion
• Quantum Langevin equations for optomechanical systems
• Cramér-Rao bound for time-continuous measurements in linear Gaussian quantum systems
• Stationary Gaussian Entanglement between Levitated Nanoparticles
• Magnon squeezing enhanced entanglement in a cavity magnomechanical system
• Quantum Communication Between Remote Mechanical Resonators
• Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
• Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement
• Dynamical Gaussian quantum steering in optomechanics
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• Feedback-assisted quantum search by continuous-time quantum walks
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• Quantum Trajectories for Squeezed Input Processes: Explicit Solutions
• Characterizing stationary optomechanical entanglement in the presence of non-Markovian noise
• Conditional cooling limit for a quantum channel going through an incoherent environment
• Prediction-retrodiction measurements for teleportation and conditional state transfer