Quadratic Dissipative Evolution of Gaussian States with Drift

被引：12
|
作者：
Teretenkov, A. E. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2017年 / 101卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
multimodal generator; GKS-L equations; quantum dissipation; Gaussian state; quantum semigroup;
D O I：
10.1134/S0001434617010370
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The solution of the Cauchy problem for the Gorini-Kossakowski-Sudarshan-Lindblad equation describing the irreversible quantum evolution of an n-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic functions of 2n x 2n matrices.
引用
收藏
页码：341 / 351
页数：11
相关论文
共 26 条
  • [1] Quadratic dissipative evolution of Gaussian states with drift
    A. E. Teretenkov
    Mathematical Notes, 2017, 101 : 341 - 351
  • [2] Quadratic dissipative evolution of Gaussian states
    A. E. Teretenkov
    Mathematical Notes, 2016, 100 : 642 - 646
  • [3] Quadratic dissipative evolution of Gaussian states
    Teretenkov, A. E.
    MATHEMATICAL NOTES, 2016, 100 (3-4) : 642 - 646
  • [4] Quantum fidelity for Gaussian states describing the evolution of open systems
    A. Isar
    The European Physical Journal Special Topics, 2008, 160 : 225 - 234
  • [5] Symplectic dilations, Gaussian states and Gaussian channels
    K. R. Parthasarathy
    Indian Journal of Pure and Applied Mathematics, 2015, 46 : 419 - 439
  • [6] SYMPLECTIC DILATIONS, GAUSSIAN STATES AND GAUSSIAN CHANNELS
    Parthasarathy, K. R.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (04) : 419 - 439
  • [7] Geometry of Gaussian quantum states
    Link, Valentin
    Strunz, Walter T.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (27)
  • [8] Gaussian entanglement of symmetric two-mode Gaussian states
    P. Marian
    T. A. Marian
    The European Physical Journal Special Topics, 2008, 160 : 281 - 289
  • [9] Quantum correlations in Gaussian states via Gaussian channels: steering, entanglement, and discord
    Zhong-Xiao Wang
    Shuhao Wang
    Qiting Li
    Tie-Jun Wang
    Chuan Wang
    Quantum Information Processing, 2016, 15 : 2441 - 2453
  • [10] Quantum correlations in Gaussian states via Gaussian channels: steering, entanglement, and discord
    Wang, Zhong-Xiao
    Wang, Shuhao
    Li, Qiting
    Wang, Tie-Jun
    Wang, Chuan
    QUANTUM INFORMATION PROCESSING, 2016, 15 (06) : 2441 - 2453
123