Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912212057063424 |
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| author | De Sousa, Guilherme Bakhshinezhad, Pharnam Annby-Andersson, Björn Samuelsson, Peter Potts, Patrick P. Jarzynski, Christopher |
| author_facet | De Sousa, Guilherme Bakhshinezhad, Pharnam Annby-Andersson, Björn Samuelsson, Peter Potts, Patrick P. Jarzynski, Christopher |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_19047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator De Sousa, Guilherme Bakhshinezhad, Pharnam Annby-Andersson, Björn Samuelsson, Peter Potts, Patrick P. Jarzynski, Christopher Quantum Physics 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. |
| title | Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2404.19047 |