Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator

Guilherme De Sousa; Pharnam Bakhshinezhad; Björn Annby-Andersson; Peter Samuelsson; Patrick P. Potts; Christopher Jarzynski

doi:10.1103/PhysRevE.111.014152

Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator

Guilherme De Sousa, Pharnam Bakhshinezhad, Björn Annby-Andersson, Peter Samuelsson, Patrick P. Potts, Christopher Jarzynski

Research output: Contribution to journal › Article › peer-review

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)0031-900710.1103/PhysRevLett.129.050401]. 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.

Original language	English
Article number	014152
Journal	Physical Review E
Volume	111
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.111.014152
Publication status	Published - 2025 Jan

Subject classification (UKÄ)

Other Physics Topics
Condensed Matter Physics (including Material Physics, Nano Physics)
Atom and Molecular Physics and Optics

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Cite this

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title = "Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator",

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)0031-900710.1103/PhysRevLett.129.050401]. 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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AU - De Sousa, Guilherme

AU - Bakhshinezhad, Pharnam

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AU - Samuelsson, Peter

AU - Potts, Patrick P.

AU - Jarzynski, Christopher

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Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator

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