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Volumn 65, Issue 4, 2002, Pages

Measuring the Lyapunov exponent using quantum mechanics

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; HAMILTONIANS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; PROBABILITY; SYSTEM STABILITY;

EID: 41349114610     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046209     Document Type: Article
Times cited : (114)

References (38)
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    • edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier Science Publishers, North-Holland, Amsterdam)
    • However, the eigenvalues of the monodromy matrix can be measured by wave packets launched at the vicinity of periodic orbits, like in E. J. Heller, in Chaos and Quantum Physics, edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier Science Publishers, North-Holland, Amsterdam, 1991), p. 547.
    • (1991) Chaos and Quantum Physics , pp. 547
    • Heller, E.J.1
  • 5
    • 33646971720 scopus 로고    scopus 로고
    • F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, e-print cond-mat/0102135
    • F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, e-print cond-mat/0102135.
  • 6
    • 33646970180 scopus 로고    scopus 로고
    • T. Prozen, e-print quant-ph/0106149
    • T. Prozen, e-print quant-ph/0106149.
  • 8
    • 33646975365 scopus 로고    scopus 로고
    • N. R. Cerruti and S. Tomsovic, e-print nlin.CD/0108016
    • N. R. Cerruti and S. Tomsovic, e-print nlin.CD/0108016.
  • 13
    • 33646969797 scopus 로고    scopus 로고
    • Z. P. Karkuszewski, C. Jarzynski, and W. H. Zurek, e-print quant-ph/0111002
    • Z. P. Karkuszewski, C. Jarzynski, and W. H. Zurek, e-print quant-ph/0111002.
  • 16
    • 85000312059 scopus 로고    scopus 로고
    • S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 79, 4790 (1997); ibid. 80, 2968(E) (1998).
    • (1998) Phys. Rev. Lett. , vol.80
  • 23
    • 33646978729 scopus 로고    scopus 로고
    • note
    • This is a standard approximation in the semiclassical approach. It will be accurate up to times of the order of the inverse Lyapunov exponent. Our numerical simulations show that it still works for larger times scales.
  • 27
    • 33646974736 scopus 로고    scopus 로고
    • note
    • In Ref. [25], the result of integral in Eq. (3.12), taken from - ∞ to ∞, is missing a factor of 2.
  • 38
    • 33646969534 scopus 로고    scopus 로고
    • G. Benenti and G. Casati, e-print quant-ph/0112060
    • G. Benenti and G. Casati, e-print quant-ph/0112060.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.