Non-Markovian quantum dynamics and classical chaos

被引：13

作者：

Garcia-Mata, Ignacio ^{[1
,2
]}

Pineda, Carlos ^{[3
]}

Wisniacki, Diego ^{[4
]}

机构：

[1] Univ Nacl Mar del Plata, Inst Invest Fis Mar del Plata IFIMAR, CONICET, Mar Del Plata, Buenos Aires, Argentina

[2] Consejo Nacl Invest Cient & Tecnol CONICET, Buenos Aires, DF, Argentina

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

[4] Univ Buenos Aires, Dept Fis JJ Giambiagi, FCEN, RA-1428 Buenos Aires, DF, Argentina

来源：

PHYSICAL REVIEW A | 2012年 / 86卷 / 02期

关键词：

DECOHERENCE; ENTANGLEMENT;

D O I：

10.1103/PhysRevA.86.022114

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the influence of a chaotic environment in the evolution of an open quantum system. We show that there is an inverse relation between chaos and non-Markovianity. In particular, we remark on the deep relation of the short time non-Markovian behavior with the revivals of the average fidelity amplitude-a fundamental quantity used to measure sensitivity to perturbations and to identify quantum chaos. The long time behavior is established as a finite size effect which vanishes for large enough environments.

引用

页数：5

共 22 条

[1]

Artuso R., 2011, SCHOLARPEDIA, V6, P10462

[2]

Breuer H.P., 2007, THEORY OPEN QUANTUM, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001

[3] 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)

[4] Informational derivation of quantum theory [J].

Chiribella, Giulio ;

D'Ariano, Giacomo Mauro ;

Perinotti, Paolo .

PHYSICAL REVIEW A, 2011, 84 (01)

[5] 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

[6] Non-Markovian decay beyond the Fermi Golden Rule: Survival collapse of the polarization in spin chains [J].

Fiori, ER ;

Pastawski, HM .

CHEMICAL PHYSICS LETTERS, 2006, 420 (1-3) :35-41

[7] Semiclassical approach to fidelity amplitude [J].

Garcia-Mata, Ignacio ;

Vallejos, Raul O. ;

Wisniacki, Diego A. .

NEW JOURNAL OF PHYSICS, 2011, 13

[8] Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime [J].

Garcia-Mata, Ignacio ;

Wisniacki, Diego A. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (31)

[9] Dynamics of Loschmidt echoes and fidelity decay [J].

Gorin, Thomas ;

Prosen, Tomaz ;

Seligman, Thomas H. ;

Znidaric, Marko .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 435 (2-5) :33-156

[10] Non-Markovianity, Loschmidt echo, and criticality: A unified picture [J].

Haikka, P. ;

Goold, J. ;

McEndoo, S. ;

Plastina, F. ;

Maniscalco, S. .

PHYSICAL REVIEW A, 2012, 85 (06)

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