Quantum Fokker-Planck Master Equation for Continuous Feedback Control

被引：16

作者：

Annby-Andersson, Bjorn ^{[1
,2
]}

Bakhshinezhad, Faraj ^{[1
,2
]}

Bhattacharyya, Debankur ^{[3
]}

De Sousa, Guilherme ^{[4
]}

Jarzynski, Christopher ^{[3
]}

Samuelsson, Peter ^{[1
,2
]}

Potts, Patrick P. ^{[1
,2
,5
]}

机构：

[1] Lund Univ, Phys Dept, Box 118, S-22100 Lund, Sweden

[2] Lund Univ, NanoLund, Box 118, S-22100 Lund, Sweden

[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

[4] Univ Maryland, Dept Phys, College Pk, MD 20742 USA

[5] Univ Basel, Dept Phys, Klingelbergstr 82, CH-4056 Basel, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2022年 / 129卷 / 05期

基金：

瑞典研究理事会; 瑞士国家科学基金会;

关键词：

REALISTIC PHOTODETECTION; SUPERCONDUCTING QUBITS; THERMODYNAMICS; ENTANGLEMENT; STATE; TRAJECTORIES; REALIZATION; TRANSPORT; DEMON;

D O I：

10.1103/PhysRevLett.129.050401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：8

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