A Derivation of Moment Evolution Equations for Linear Open Quantum Systems

被引：0
|
作者：
Ma, Shan [1 ,2 ]
Woolley, Matthew J. [3 ]
Petersen, Ian R. [4 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
[2] UNSW Canberra, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
[3] UNSW Canberra, Sch Engn & IT, Canberra, ACT 2600, Australia
[4] Australian Natl Univ, Res Sch Engn, Canberra, ACT 2601, Australia
来源：
PROCEEDINGS 2018 33RD YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC) | 2018年
基金：
澳大利亚研究理事会;
关键词：
Linear quantum system; open quantum system; Lindblad master equation; moment; evolution; mean vector; covariance matrix; Gaussian state; reservoir engineering; drift matrix; diffusion matrix;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a linear open quantum system which is described by a Lindblad master equation, we detail the calculation of the moment evolution equations from this master equation. We stress that the moment evolution equations are well-known, but their explicit derivation from the master equation cannot be found in the literature to the best of our knowledge, and so we provide this derivation for the interested reader.
引用
收藏
页码：6 / 11
页数：6
相关论文
共 50 条
  • [1] On non-linear Schrodinger equations for open quantum systems
    Mousavi, S. V.
    Miret-Artes, S.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (09):
  • [2] On non-linear Schrödinger equations for open quantum systems
    S. V. Mousavi
    S. Miret-Artés
    The European Physical Journal Plus, 134
  • [3] Regularized moment equations for binary gas mixtures: Derivation and linear analysis
    Gupta, Vinay Kumar
    Struchtrup, Henning
    Torrilhon, Manuel
    PHYSICS OF FLUIDS, 2016, 28 (04)
  • [4] Regularization of Grad's 13 moment equations: Derivation and linear analysis
    Struchtrup, H
    Torrilhon, M
    PHYSICS OF FLUIDS, 2003, 15 (09) : 2668 - 2680
  • [5] ON THE EVOLUTION-EQUATIONS FOR REDUCED DENSITY OPERATORS IN QUANTUM OPEN SYSTEMS
    BOCHICCHIO, RC
    GRINBERG, H
    JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1995, 330 : 113 - 118
  • [6] Moment Equations of Linear It Stochastic Systems with Applications
    Deng Feiqi
    Liu Hongwei
    Feng Zhaoshu & Liu Yongqing(Department of Automatic Control Engineering
    JournalofSystemsEngineeringandElectronics, 1998, (02) : 1 - 7
  • [7] Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems
    D'Abbruzzo, Antonio
    Rossini, Davide
    PHYSICAL REVIEW A, 2021, 103 (05)
  • [8] Derivation of Maxwell-type equations for open systems
    Khugaev, A., V
    Adamian, G. G.
    Antonenko, N., V
    PHYSICAL REVIEW A, 2018, 98 (03)
  • [9] DERIVATION OF HYDRODYNAMIC EQUATIONS FOR THE QUANTUM SYSTEMS OF DIATOMIC MOLECULES
    ZELAZNY, R
    PHYSICAL REVIEW, 1960, 117 (01): : 1 - 11
  • [10] Quantum Algorithm for Linear Systems of Equations
    Harrow, Aram W.
    Hassidim, Avinatan
    Lloyd, Seth
    PHYSICAL REVIEW LETTERS, 2009, 103 (15)
12345