Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green's function approach

被引：9

作者：

Xue, Shibei ^{[1
]}

Wu, Rebing ^{[2
]}

Tarn, Tzyh-Jong ^{[3
]}

Petersen, Ian R. ^{[1
]}

机构：

[1] UNSW Canberra, Australian Def Force Acad, Sch Engn & Informat Technol, Campbell, ACT 2600, Australia

[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

[3] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA

来源：

QUANTUM INFORMATION PROCESSING | 2015年 / 14卷 / 07期

基金：

澳大利亚研究理事会;

关键词：

Non-Markovian open quantum systems; Markovian dynamics; Green's function; Root locus; Critical transition; LOCAL OPERATIONS; ENTANGLEMENT; DECOHERENCE; RECOVERY;

D O I：

10.1007/s11128-015-1000-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper presents a Green's function-based root locus method to investigate the boundary between Markovian and non-Markovian open quantum systems in the frequency domain. A Langevin equation for the boson-boson coupling system is derived, where we show that the structure of the Green's function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, the system dynamics are driven from Markovian to non-Markovian dynamics, which results from the redistribution in the modes of the Green's function in the frequency domain. Both a critical transition and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.

引用

页码：2657 / 2672

页数：16

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