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.
Highlights
Quantum control plays a crucial role in modern quantum experiments across different fields
We study in detail two optomechanical implementations of time-continuous Bell measurements [20]: Time-continuous teleportation allows for preparation of a mechanical oscillator in a general Gaussian state, while time-continuous entanglement swapping can be used to prepare two remote mechanical systems in an (EinsteinPodolsky-Rosen) entangled state
In this article we consider a cavity-optomechanical system with a single mechanical mode oscillating at a resonance frequency ωm
Summary
Quantum control plays a crucial role in modern quantum experiments across different fields. We study in detail two optomechanical implementations of time-continuous Bell measurements [20]: Time-continuous teleportation allows for preparation of a mechanical oscillator in a general Gaussian (squeezed) state, while time-continuous entanglement swapping can be used to prepare two remote mechanical systems in an (EinsteinPodolsky-Rosen) entangled state. Both schemes generate dissipative dynamics which drive the mechanical system(s) into the desired stationary state. Some background information about quantum stochastic calculus and LQG control is presented in Appendices A and B
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