Dynamical invariants in a non-Markovian quantum-state-diffusion equation

被引：10

作者：

Luo, Da-Wei ^{[1
,2
,3
]}

Pyshkin, P. V. ^{[1
,2
,3
]}

Lam, Chi-Hang ^{[4
]}

Yu, Ting ^{[1
,5
,6
]}

Lin, Hai-Qing ^{[1
]}

You, J. Q. ^{[1
]}

Wu, Lian-Ao ^{[2
,3
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China

[2] Basque Country Univ UPV EHU, Dept Theoret Phys & Hist Sci, Bilbao 48080, Spain

[3] Ikerbasque, Basque Fdn Sci, E-48011 Bilbao, Spain

[4] Hong Kong Polytech Univ, Dept Appl Phys, Hong Kong, Hong Kong, Peoples R China

[5] Stevens Inst Technol, Ctr Controlled Quantum Syst, Hoboken, NJ 07030 USA

[6] Stevens Inst Technol, Dept Phys & Engn Phys, Hoboken, NJ 07030 USA

来源：

PHYSICAL REVIEW A | 2015年 / 92卷 / 06期

基金：

中国国家自然科学基金;

关键词：

DEPENDENT HARMONIC-OSCILLATOR; HAMILTONIANS; SYSTEMS;

D O I：

10.1103/PhysRevA.92.062127

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We find dynamical invariants for open quantum systems described by the non-Markovian quantum-statediffusion (QSD) equation. In stark contrast to closed systems where the dynamical invariant can be identical to the system density operator, these dynamical invariants no longer share the equation of motion for the density operator. Moreover, the invariants obtained with a biorthonormal basis can be used to render an exact solution to the QSD equation and the corresponding non-Markovian dynamics without using master equations or numerical simulations. Significantly we show that we can apply these dynamical invariants to reverse engineering a Hamiltonian that is capable of driving the system to the target state, providing a different way to design control strategy for open quantum systems.

引用

页数：5

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