Universality in dynamical formation of entanglement for quantum chaos

被引：8

作者：

Kubotani, Hiroto ^{[1
]}

Toda, Mikito

Adachi, Satoshi

机构：

[1] Kanagawa Univ, Fac Engn, Inst Phys, Yokohama, Kanagawa 2218686, Japan

[2] Nara Womens Univ, Fac Sci, Dept Phys, Nara 6308506, Japan

[3] Tokyo Inst Technol, Fac Sci, Dept Phys, Meguro 1528550, Japan

来源：

PHYSICAL REVIEW A | 2006年 / 74卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.74.032314

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Dynamical formation of entanglement is studied for quantum chaotic biparticle systems. We find that statistical properties of the Schmidt eigenvalues for strong chaos are well described by the random matrix theory of the Laguerre unitary ensemble. This implies that entanglement formation for quantum chaos has universal properties, and does not depend on specific aspects of the systems.

引用

页数：5

共 28 条

[1]

ADACHI S, UNPUB

[2]

ADACHI S, 1992, P ISKIT 92, P76

[3] Entanglement production in coupled chaotic systems: Case of the kicked tops [J].

Bandyopadhyay, JN ;

Lakshminarayan, A .

PHYSICAL REVIEW E, 2004, 69 (01) :18

[4] Testing statistical bounds on entanglement using quantum chaos [J].

Bandyopadhyay, JN ;

Lakshminarayan, A .

PHYSICAL REVIEW LETTERS, 2002, 89 (06)

[5]

Bell JS., 1964, PHYS PHYS FIZIKA, V1, P195, DOI [10.1103/Physics-PhysiqueFizika.1.195, 10.1103/PhysicsPhysiqueFizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195]

[6] Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos [J].

Bettelli, S ;

Shepelyansky, DL .

PHYSICAL REVIEW A, 2003, 67 (05) :4

[7] EXPONENTIAL ENSEMBLE FOR RANDOM MATRICES [J].

BRONK, BV .

JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (02) :228-&

[8] Can quantum-mechanical description of physical reality be considered complete? [J].

Einstein, A ;

Podolsky, B ;

Rosen, N .

PHYSICAL REVIEW, 1935, 47 (10) :0777-0780

[9] Dynamical aspects of quantum entanglement for weakly coupled kicked tops [J].

Fujisaki, H ;

Miyadera, T ;

Tanaka, A .

PHYSICAL REVIEW E, 2003, 67 (06) :11-066201

[10] Quantum dynamical manifestation of chaotic behavior in the process of entanglement [J].

Furuya, K ;

Nemes, MC ;

Pellegrino, GQ .

PHYSICAL REVIEW LETTERS, 1998, 80 (25) :5524-5527

← 1 2 3 →