Non-Markovian Behavior of Small and Large Complex Quantum Systems

被引：70

作者：

Znidaric, Marko ^{[1
,2
]}

Pineda, Carlos ^{[3
]}

Garcia-Mata, Ignacio ^{[4
,5
,6
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62191, Morelos, Mexico

[2] Univ Ljubljana, Dept Phys, Fac Math & Phys, Ljubljana 61000, Slovenia

[3] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico

[4] Inst Invest Fis Mar del Plata IFIMAR CONICET, RA-7600 Mar Del Plata, Argentina

[5] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

[6] Lab TANDAR CNEA, Dept Fis, Buenos Aires, DF, Argentina

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 08期

关键词：

DYNAMICAL SEMIGROUPS; RANDOM MATRICES; ENTANGLEMENT; STABILITY;

D O I：

10.1103/PhysRevLett.107.080404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time-dependent oscillation of the Bloch ball, leading to non-Markovian behavior, even in the limit of infinite environments. Two contributions are identified: one due to the density of states and the other due to correlations in the spectrum. Prototype examples, one for chaotic and the other for regular dynamics are explored.

引用

页数：4

共 30 条

[1]

[Anonymous], 1990, RANDOM MATRICES

[2] Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain [J].

Apollaro, Tony J. G. ;

Di Franco, Carlo ;

Plastina, Francesco ;

Paternostro, Mauro .

PHYSICAL REVIEW A, 2011, 83 (03)

[3] RANDOM MATRICES AND INFORMATION THEORY [J].

BALIAN, R .

NUOVO CIMENTO B, 1968, 57 (01) :183-&

[4] Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems [J].

Breuer, Heinz-Peter ;

Laine, Elsi-Mari ;

Piilo, Jyrki .

PHYSICAL REVIEW LETTERS, 2009, 103 (21)

[5] Measures of non-Markovianity: Divisibility versus backflow of information [J].

Chruscinski, Dariusz ;

Kossakowski, Andrzej ;

Rivas, Angel .

PHYSICAL REVIEW A, 2011, 83 (05)

[6] Non-Markovian Quantum Dynamics: Local versus Nonlocal [J].

Chruscinski, Dariusz ;

Kossakowski, Andrzej .

PHYSICAL REVIEW LETTERS, 2010, 104 (07)

[7]

Collins B, 2003, INT MATH RES NOTICES, V2003, P953

[8]

COLLINS B, ARXIV09101768

[9] Depolarizing channel as a completely positive map with memory -: art. no. 010304 [J].

Daffer, S ;

Wódkiewicz, K ;

Cresser, JD ;

McIver, JK .

PHYSICAL REVIEW A, 2004, 70 (01) :010304-1

[10] CHAOTIC BEHAVIOR OF SCATTERING INDUCED BY STRONG EXTERNAL COUPLING [J].

DITTES, FM ;

ROTTER, I ;

SELIGMAN, TH .

PHYSICS LETTERS A, 1991, 158 (1-2) :14-18

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