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Volumn 8, Issue 1, 2007, Pages 91-108

A phase-space study of the quantum Loschmidt echo in the semiclassical limit

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EID: 33847304198     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-006-0301-9     Document Type: Article
Times cited : (9)

References (36)
  • 1
    • 42749108514 scopus 로고    scopus 로고
    • On the stability of classically chaotic motion under system's perturbations
    • R
    • G. Benenti, G. Casati, G. Veble, On the stability of classically chaotic motion under system's perturbations, Phys. Rev. E 67 (2003), 055202 (R).
    • (2003) Phys. Rev. E , vol.67 , pp. 055202
    • Benenti, G.1    Casati, G.2    Veble, G.3
  • 3
    • 0036487116 scopus 로고    scopus 로고
    • Uniform semiclassical estimates for the propagation of observables
    • A. Bouzouina, D. Robert, Uniform semiclassical estimates for the propagation of observables, Duke Mathematical Journal 111 (2002), 223-252.
    • (2002) Duke Mathematical Journal , vol.111 , pp. 223-252
    • Bouzouina, A.1    Robert, D.2
  • 4
    • 0037471299 scopus 로고    scopus 로고
    • A uniform approximation for the fidelity in chaotic systems
    • N. Cerruti, S. Tomsovic, A uniform approximation for the fidelity in chaotic systems, J. Phys. A: Math. Gen. 36 (2003), 3451-3465.
    • (2003) J. Phys. A: Math. Gen , vol.36 , pp. 3451-3465
    • Cerruti, N.1    Tomsovic, S.2
  • 5
    • 33847307036 scopus 로고
    • Localisation et développement asymptotique des éléments du spectre conjoint d'opérateurs pseudodifférentiels qui commutent (Localization and asymptotic development of the joint spectrum of commuting pseudodifferential operators), (French)
    • A. M. Charbonnel, Localisation et développement asymptotique des éléments du spectre conjoint d'opérateurs pseudodifférentiels qui commutent (Localization and asymptotic development of the joint spectrum of commuting pseudodifferential operators), (French) Integral Equations Oper. Theory 9 (1986), 502-536.
    • (1986) Integral Equations Oper. Theory , vol.9 , pp. 502-536
    • Charbonnel, A.M.1
  • 6
    • 33847332700 scopus 로고    scopus 로고
    • Y. Colin de Verdière, Bohr-Sommerfeld rules to all orders, to appear in Annales H.P.
    • Y. Colin de Verdière, Bohr-Sommerfeld rules to all orders, to appear in Annales H.P.
  • 7
    • 17144393014 scopus 로고    scopus 로고
    • About quantum revivals, quantum fidelity. A semiclassical approach
    • M. Combescure, About quantum revivals, quantum fidelity. A semiclassical approach, J. Phys. A: Math. Gen. 38 (2005), 2635-2655.
    • (2005) J. Phys. A: Math. Gen , vol.38 , pp. 2635-2655
    • Combescure, M.1
  • 9
    • 0000392733 scopus 로고    scopus 로고
    • Semiclassical spreading of quantum wavepackets and applications near unstable fixed points of the classical flow
    • M. Combescure, D. Robert, Semiclassical spreading of quantum wavepackets and applications near unstable fixed points of the classical flow, Asymptotic Analysis 14 (1997), 377-404.
    • (1997) Asymptotic Analysis , vol.14 , pp. 377-404
    • Combescure, M.1    Robert, D.2
  • 11
    • 0033238569 scopus 로고    scopus 로고
    • A proof of the Gutzwiller semiclassical trace formula using coherent sates decomposition
    • M. Combescure, J. Ralston, D. Robert, A proof of the Gutzwiller semiclassical trace formula using coherent sates decomposition, Commun. in Math. Phys. 202 (1999), 463-480.
    • (1999) Commun. Math. Phys , vol.202 , pp. 463-480
    • Combescure, M.1    Ralston, J.2    Robert, D.3
  • 13
    • 0037449837 scopus 로고    scopus 로고
    • Echoes in classical dynamical systems
    • B. Eckhardt, Echoes in classical dynamical systems, J. Phys. A: Math. Gen. 36 (2003), 371-380.
    • (2003) J. Phys. A: Math. Gen , vol.36 , pp. 371-380
    • Eckhardt, B.1
  • 15
    • 0142025199 scopus 로고    scopus 로고
    • Semiclassical theory of coherence and decoherence
    • G. A. Fiete, E. J. Heller, Semiclassical theory of coherence and decoherence, Phys. Rev. A 68 (2003), 022112.
    • (2003) Phys. Rev. A , vol.68 , pp. 022112
    • Fiete, G.A.1    Heller, E.J.2
  • 16
  • 17
    • 0033517595 scopus 로고    scopus 로고
    • Semiclassical dynamics with exponentially small error estimates
    • G. Hagedorn, A. Joye, Semiclassical dynamics with exponentially small error estimates, Comm. Math. Phys. 207 (1999), 449-465.
    • (1999) Comm. Math. Phys , vol.207 , pp. 449-465
    • Hagedorn, G.1    Joye, A.2
  • 19
    • 0037037952 scopus 로고    scopus 로고
    • Decay of the Loschmidt echo for quantum states with sub-Planck scale structures
    • P. Jacquod, I. Adagideli, C. W. Beenakker, Decay of the Loschmidt echo for quantum states with sub-Planck scale structures, Phys. Rev. Lett. 89 (2002), 154103.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 154103
    • Jacquod, P.1    Adagideli, I.2    Beenakker, C.W.3
  • 20
    • 0000281183 scopus 로고    scopus 로고
    • Multilevel quantum beats: An analytical approach
    • C. Leichtle, I. Averbukh, W. Schleich, Multilevel quantum beats: An analytical approach, Phys. Rev. A 54 (1996), 5299-5312.
    • (1996) Phys. Rev. A , vol.54 , pp. 5299-5312
    • Leichtle, C.1    Averbukh, I.2    Schleich, W.3
  • 21
    • 33645082904 scopus 로고
    • The semiclassical evolution of wave packets
    • Nos 4 & 5
    • R. Littlejohn, The semiclassical evolution of wave packets, Physics Reports 138, Nos 4 & 5 (1986).
    • (1986) Physics Reports , vol.138
    • Littlejohn, R.1
  • 22
    • 0034969620 scopus 로고    scopus 로고
    • Semiclassical trace formulae using coherent states
    • B. Mehlig, M. Wilkinson, Semiclassical trace formulae using coherent states, Ann. Phys. (Leipz.) 10 (2001), 541.
    • (2001) Ann. Phys. (Leipz.) , vol.10 , pp. 541
    • Mehlig, B.1    Wilkinson, M.2
  • 23
    • 0000558706 scopus 로고
    • Coherence and decay of Rydberg wave packets
    • J. Parker, J. Stroud, Coherence and decay of Rydberg wave packets, Phys. Rev. Lett. 56 (1986), 716-719.
    • (1986) Phys. Rev. Lett , vol.56 , pp. 716-719
    • Parker, J.1    Stroud, J.2
  • 24
    • 33646987451 scopus 로고
    • Stability of quantum motion in chaotic and regular systems
    • A. Peres, Stability of quantum motion in chaotic and regular systems, Phys. Rev. A 30 (1984), 1610-1615.
    • (1984) Phys. Rev. A , vol.30 , pp. 1610-1615
    • Peres, A.1
  • 25
    • 37649031294 scopus 로고    scopus 로고
    • On general relation between quantum ergodicity and fidelity of quantum dynamics
    • T. Prosen, On general relation between quantum ergodicity and fidelity of quantum dynamics, Phys. Rev. E 65 (2002).
    • (2002) Phys. Rev. E , vol.65
    • Prosen, T.1
  • 26
    • 10944269843 scopus 로고    scopus 로고
    • Stability of quantum coherence and correlation decay
    • T. Prosen, T. H. Seligman, M. Znidaric, Stability of quantum coherence and correlation decay, Phys. Rev. A 67 (2003), 042112.
    • (2003) Phys. Rev. A , vol.67 , pp. 042112
    • Prosen, T.1    Seligman, T.H.2    Znidaric, M.3
  • 28
    • 0037085147 scopus 로고    scopus 로고
    • Stability of quantum motion and correlation decay
    • T. Prosen, M. Znidaric, Stability of quantum motion and correlation decay, J. Phys. A: Math. Gen. 35 (2002), 1455-1481.
    • (2002) J. Phys. A: Math. Gen , vol.35 , pp. 1455-1481
    • Prosen, T.1    Znidaric, M.2
  • 30
    • 11844262442 scopus 로고    scopus 로고
    • Remarks on time dependent Schrödinger equation, bound states and coherent states
    • IOS Press
    • D. Robert, Remarks on time dependent Schrödinger equation, bound states and coherent states, in: Optimal Control and Partial Differential Equations, IOS Press (2001), 188-197.
    • (2001) Optimal Control and Partial Differential Equations , pp. 188-197
    • Robert, D.1
  • 31
    • 33847301108 scopus 로고    scopus 로고
    • Propagation of coherent states in quantum mechanics and applications
    • To appear
    • D. Robert, Propagation of coherent states in quantum mechanics and applications, Proceedings of the CIMPA summer school in Lanzhou. To appear (2006).
    • (2006) Proceedings of the CIMPA summer school in Lanzhou
    • Robert, D.1
  • 32
    • 0442328987 scopus 로고    scopus 로고
    • Quantum wavepackets revivals
    • R. W. Robinett, Quantum wavepackets revivals, Phys. Rep. 392 (2004), 1-119.
    • (2004) Phys. Rep , vol.392 , pp. 1-119
    • Robinett, R.W.1
  • 33
    • 4243410419 scopus 로고    scopus 로고
    • Hypersensitivity to perturbations of quantum-chaotic wavepacket dynamics
    • R
    • P. G. Silvestrov, J. Tworzydlo, C. W. Beenakker, Hypersensitivity to perturbations of quantum-chaotic wavepacket dynamics, Phys. Rev. Lett. 67 (2003), 025204, (R).
    • (2003) Phys. Rev. Lett , vol.67 , pp. 025204
    • Silvestrov, P.G.1    Tworzydlo, J.2    Beenakker, C.W.3
  • 34
    • 0942289330 scopus 로고    scopus 로고
    • Semiclassical evaluation of fidelity
    • J. Vanicek, E. J. Heller, Semiclassical evaluation of fidelity, Phys. Rev. E 68 (2003), 056208.
    • (2003) Phys. Rev. E , vol.68 , pp. 056208
    • Vanicek, J.1    Heller, E.J.2
  • 35
    • 0037132315 scopus 로고    scopus 로고
    • Border between regular and chaotic quantum dynamics
    • Y. Weinstein, S. Lloyd, C. Tsallis, Border between regular and chaotic quantum dynamics, Phys. Rev. Lett. 89 (2002), 214101.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 214101
    • Weinstein, Y.1    Lloyd, S.2    Tsallis, C.3
  • 36
    • 0037436724 scopus 로고    scopus 로고
    • Fidelity and purity decay in weakly coupled composite systems
    • M. Znidaric, T. Prosen, Fidelity and purity decay in weakly coupled composite systems, J. Phys. A: Math. Gen. 36 (2003), 2463-2481.
    • (2003) J. Phys. A: Math. Gen , vol.36 , pp. 2463-2481
    • Znidaric, M.1    Prosen, T.2


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