Quantum Fokker-Planck Master Equation for Continuous Feedback Control
Annby-Andersson, Björn LU ; Bakhshinezhad, Faraj LU ; Bhattacharyya, Debankur ; De Sousa, Guilherme ; Jarzynski, Christopher ; Samuelsson, Peter LU and Potts, Patrick P. LU
(2022)
In Physical Review Letters
129(5).
- Abstract
Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Theoretical descriptions of feedback control are typically given in terms of stochastic equations requiring numerical solutions, or are limited to linear feedback protocols. Here we present a formalism for continuous quantum measurement and feedback, both linear and nonlinear. Our main result is a quantum Fokker-Planck master equation describing the joint dynamics of a quantum system and a detector with finite bandwidth. For fast measurements, we derive a Markovian master equation for the system alone, amenable to analytical treatment. We... (More)
Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Theoretical descriptions of feedback control are typically given in terms of stochastic equations requiring numerical solutions, or are limited to linear feedback protocols. Here we present a formalism for continuous quantum measurement and feedback, both linear and nonlinear. Our main result is a quantum Fokker-Planck master equation describing the joint dynamics of a quantum system and a detector with finite bandwidth. For fast measurements, we derive a Markovian master equation for the system alone, amenable to analytical treatment. We illustrate our formalism by investigating two basic information engines, one quantum and one classical.
(Less)
- author
- Annby-Andersson, Björn
LU
; Bakhshinezhad, Faraj
LU
; Bhattacharyya, Debankur
; De Sousa, Guilherme
; Jarzynski, Christopher
; Samuelsson, Peter
LU
and Potts, Patrick P.
LU
- organization
- publishing date
- 2022
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Letters
- volume
- 129
- issue
- 5
- article number
- 050401
- publisher
- American Physical Society
- external identifiers
-
- scopus:85135702497
- pmid:35960579
- ISSN
- 0031-9007
- DOI
- 10.1103/PhysRevLett.129.050401
- language
- English
- LU publication?
- yes
- id
- 3833aa77-58b8-4363-b1d5-8788e4310671
- date added to LUP
- 2022-10-18 15:33:18
- date last changed
- 2024-06-13 14:11:19
@article{3833aa77-58b8-4363-b1d5-8788e4310671,
abstract = {{<p>Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Theoretical descriptions of feedback control are typically given in terms of stochastic equations requiring numerical solutions, or are limited to linear feedback protocols. Here we present a formalism for continuous quantum measurement and feedback, both linear and nonlinear. Our main result is a quantum Fokker-Planck master equation describing the joint dynamics of a quantum system and a detector with finite bandwidth. For fast measurements, we derive a Markovian master equation for the system alone, amenable to analytical treatment. We illustrate our formalism by investigating two basic information engines, one quantum and one classical.</p>}},
author = {{Annby-Andersson, Björn and Bakhshinezhad, Faraj and Bhattacharyya, Debankur and De Sousa, Guilherme and Jarzynski, Christopher and Samuelsson, Peter and Potts, Patrick P.}},
issn = {{0031-9007}},
language = {{eng}},
number = {{5}},
publisher = {{American Physical Society}},
series = {{Physical Review Letters}},
title = {{Quantum Fokker-Planck Master Equation for Continuous Feedback Control}},
url = {{http://dx.doi.org/10.1103/PhysRevLett.129.050401}},
doi = {{10.1103/PhysRevLett.129.050401}},
volume = {{129}},
year = {{2022}},
}