Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator

• URL: http://arxiv.org/abs/2404.19047v1
• Date: Mon, 29 Apr 2024 18:39:24 GMT
• Title: Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
• Authors: Guilherme De Sousa, Pharnam Bakhshinezhad, Björn Annby-Andersson, Peter Samuelsson, Patrick P. Potts, Christopher Jarzynski,
• Abstract summary: We investigate cooling schemes using feedback protocols modeled with a Quantum Fokker-Planck Master Equation (QFPME) This equation describes systems under continuous weak measurements, with feedback based on the outcome of these measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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