Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
arxiv(2024)
Abstract
Quantum technologies and experiments often require preparing systems in
low-temperature states. Here, we investigate cooling schemes using feedback
protocols modeled with a Quantum Fokker-Planck Master Equation (QFPME) recently
derived by Annby-Andersson et. al. (Phys. Rev. Lett. 129, 050401, 2022). This
equation describes systems under continuous weak measurements, with feedback
based on the outcome of these measurements. We apply this formalism to study
the cooling and trapping of a harmonic oscillator for several protocols based
on position and/or momentum measurements. We find that the protocols can cool
the oscillator down to, or close to, the ground state for suitable choices of
parameters. Our analysis provides an analytically solvable case study of
quantum measurement and feedback and illustrates the application of the QFPME
to continuous quantum systems.
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