Quantum Fokker-Planck master equation with general signal filtering. SOUSA, Guilherme de.
Abstract: In this paper, we derive a general master equation for continuous feedback based on arbitrary linear signals. This result is an extension of the quantum Fokker-Planck master equation derived by Annby-Andersson et al. [Phys. Rev. Lett. 129, 050401 (2022)] to the case where the experiment has a general filtering structure. The filtering operation can include delayed information, memory effects, and non-Markovian signal processing. Using this general master equation, we derive analytical results for the ground-state cooling of a quantum harmonic oscillator. We compared our results with those derived by De Sousa et al. [Phys. Rev. E 111, 014152 (2025)]. Our framework aims to capture more realistic situations, to allow experiments to be better modeled, and to study non-Markovian effects in the spectral properties of the measurement signal.
Physical Review A
v. 113, n. 1, p. 012213-1-012213-11 - Ano: 2026
Fator de Impacto: 2,9
@article={003288674,author = {SOUSA, Guilherme de.},title={Quantum Fokker-Planck master equation with general signal filtering},journal={Physical Review A},note={v. 113, n. 1, p. 012213-1-012213-11},year={2026}}
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Abstract: In this paper, we derive a general master equation for continuous feedback based on arbitrary linear signals. This result is an extension of the quantum Fokker-Planck master equation derived by Annby-Andersson et al. [Phys. Rev. Lett. 129, 050401 (2022)] to the case where the experiment has a general filtering structure. The filtering operation can include delayed information, memory effects, and non-Markovian signal processing. Using this general master equation, we derive analytical results for the ground-state cooling of a quantum harmonic oscillator. We compared our results with those derived by De Sousa et al. [Phys. Rev. E 111, 014152 (2025)]. Our framework aims to capture more realistic situations, to allow experiments to be better modeled, and to study non-Markovian effects in the spectral properties of the measurement signal.
@article={003288674,author = {SOUSA, Guilherme de.},title={Quantum Fokker-Planck master equation with general signal filtering},journal={Physical Review A},note={v. 113, n. 1, p. 012213-1-012213-11},year={2026}}