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Volumn 65, Issue 4, 2002, Pages

Decoherence as decay of the Loschmidt echo in a Lorentz gas

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; ENTROPY; FUNCTIONS; HAMILTONIANS; PERTURBATION TECHNIQUES; QUANTUM THEORY;

EID: 37649029343     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.045206     Document Type: Article
Times cited : (64)

References (34)
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    • Izrailev, P.M.1
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    • Springer-Verlag, New York
    • M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990); Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin, (North-Holland, Amsterdam, 1991); see also M. Berry, Phys. Scr. 40, 335 (1989).
    • (1990) Chaos in Classical and Quantum Mechanics
    • Gutzwiller, M.C.1
  • 4
    • 0003769394 scopus 로고
    • North-Holland, Amsterdam
    • M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990); Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin, (North-Holland, Amsterdam, 1991); see also M. Berry, Phys. Scr. 40, 335 (1989).
    • (1991) Chaos and Quantum Physics
    • Giannoni, M.-J.1    Voros, A.2    Zinn-Justin, J.3
  • 5
    • 0001589927 scopus 로고
    • M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990); Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros, and J. Zinn-Justin, (North-Holland, Amsterdam, 1991); see also M. Berry, Phys. Scr. 40, 335 (1989).
    • (1989) Phys. Scr. , vol.40 , pp. 335
    • Berry, M.1
  • 9
    • 33646987451 scopus 로고
    • A. Peres, Phys. Rev. A 30, 1610 (1984); see also a discussion in F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1991).
    • (1984) Phys. Rev. A , vol.30 , pp. 1610
    • Peres, A.1
  • 10
    • 33646987451 scopus 로고
    • Springer-Verlag, Berlin
    • A. Peres, Phys. Rev. A 30, 1610 (1984); see also a discussion in F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1991).
    • (1991) Quantum Signatures of Chaos
    • Haake, F.1
  • 12
    • 33646985469 scopus 로고    scopus 로고
    • note
    • This local density revival is a realization of the gedanken experiment proposed by Loschmidt in his attempt to refute Boltzmann's hypothesis of "molecular chaos."
  • 13
    • 0001424572 scopus 로고    scopus 로고
    • G. Usaj, H.M. Pastawski, and P.R. Levstein, Mol. Phys. 95, 1229 (1998); H.M. Pastawski, G. Usaj, and P.R. Levstein, in Contemporary Problems of Condensed Matter Physics, edited by S. J. Vlaev, L.M. Gaggero Sager, and Valerie V. Dvoeglazov (NOVA Scientific Publishers, New York, 2001).
    • (1998) Mol. Phys. , vol.95 , pp. 1229
    • Usaj, G.1    Pastawski, H.M.2    Levstein, P.R.3
  • 14
    • 0001424572 scopus 로고    scopus 로고
    • edited by S. J. Vlaev, L.M. Gaggero Sager, and Valerie V. Dvoeglazov (NOVA Scientific Publishers, New York)
    • G. Usaj, H.M. Pastawski, and P.R. Levstein, Mol. Phys. 95, 1229 (1998); H.M. Pastawski, G. Usaj, and P.R. Levstein, in Contemporary Problems of Condensed Matter Physics, edited by S. J. Vlaev, L.M. Gaggero Sager, and Valerie V. Dvoeglazov (NOVA Scientific Publishers, New York, 2001).
    • (2001) Contemporary Problems of Condensed Matter Physics
    • Pastawski, H.M.1    Usaj, G.2    Levstein, P.R.3
  • 26
    • 33646978321 scopus 로고    scopus 로고
    • See movies at www.lanais.famaf.unc.edu.ar/loschmidt
  • 28
    • 0035510265 scopus 로고    scopus 로고
    • A better estimate for 1/τ̃ and hence for the critical perturbation was obtained very recently from the Fermi golden rule decay of the eigenstates of Η under the action of Η+∑. See Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); see also related work on the perturbative and FGR regimes by N.R. Cerruti and S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002).
    • (2001) Phys. Rev. E , vol.64 , pp. 055203
    • Jacquod, P.1    Silvestrov, P.G.2    Beenakker, C.W.J.3
  • 29
    • 0037017168 scopus 로고    scopus 로고
    • A better estimate for 1/τ̃ and hence for the critical perturbation was obtained very recently from the Fermi golden rule decay of the eigenstates of Η under the action of Η+∑. See Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); see also related work on the perturbative and FGR regimes by N.R. Cerruti and S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 054103
    • Cerruti, N.R.1    Tomsovic, S.2
  • 30


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