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Publications: 2. Quantum Chaos Models

(Siberian road)

1978-1979-1980-1981
2.1. F.M.Izrailev, D.L.Shepelyansky, "Quantum Resonance for a Rotator in a Nonlinear Periodic Field", Dok. Akad. Nauk SSSR v.249, p.1103-1107 (1979) (in Russian - (here) ) [F.M.Izrailev and D.L.Shepelyanskii, Sov. Phys. Dokl. v.24, p.996 (1979) (in English - (here) )]; Teor. Mat. Fiz. v.43, 417 (1980) (in Russian (here) ) [English translation: F.M.Izrailev and D.L.Shepelyanskii, Theor. Math. Phys. v.43(3), pp. 553-561 (1980) (in English (here) )]; [also in English - F.M.Izrailev and D.L.Shepelyansky, "Quantum resonance for the rotator in a non-linear periodic field", Dated November 23, 1978, Preprint INP 78-97, Novosibirsk 1978 (in English (here) )]; BINP copy in Russian (here) )
2.2. D.L.Shepelyansky, "Quasiclassical Approximation for Stochastic Quantum Systems", Dok. Akad. Nauk SSSR v.256, p.586-590 (1981) (in Russian (here) ) [English Transl. D.L.Shepelyanskii, Sov. Phys. Dokl. v.26(1), p.80 (1981) (here) )];
[Preprint INP 80-132, Dated April 7, 1980, Novosibirsk 1980 (in English (here) ); BINP copy in Russian (here) )]
2.3. D.L.Shepelyansky, "About Dynamical Stochasticity in Nonlinear Quantum Systems", Teor. Math. Fiz. v.49, p.117-121 (1981) (in Russian (here) ) [English translation: D.L.Shepelyanskii "Dynamical stochasticity in nonlinear quantum systems" Theor. Math. Phys. v.49(1), pp.925-928 (1981) (in English (here) )]; [also Preprint INP 80-157, Dated June 30, 1980, Novosibirsk 1980 (in English (here) ); BINP copy in Russia (here) )]
2.4. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Dynamical Stochasticity in Classical and Quantum Mechanics", Sov. Scient. Rev. v.2C, p.209-267 (1981) [Section C - Mathematical Physics Reviews, Ed. S.P.Novikov vol.2, Harwood Acad. Publ., Chur, Switzerland (1981)] (here) ; [Preprint INP 80-209, Novosibirsk 1980, BINP copy in Russian (here) ; Preprint INP 80-210, dated 11 November 1980, BINP copy in English (here) ]
1983
2.5. D.L.Shepelyansky, "Some Statistical Properties of Simple Classically Stochastic Quantum Systems", Physica v.8D, p.208-222 (1983) (here) ; [Preprint INP 81-55, Novosibirsk, 29 May 1981, BINP copy in English (here) ]
1986
2.6. D.L.Shepelyansky, "Localization of Quasienergy Eigenfunction in Action Space", Phys. Rev. Lett. v.56, p.677-680 (1986) (here) ; Preprint INP 85-92, Novosibirsk 10 June 1985, BINP copy in English (here)
2.7. B.V.Chirikov, D.L.Shepelyansky, "Localization of Dynamical Chaos in Quantum Systems", Radiofizika v.29, p.1041-1049 (1986) (in Russian (here) ) (in English (here) ); Preprint INP 85-29, Novosibirk 28 February 1985, BINP copy in Russian (here)
1987 - 1988
2.8. D.L.Shepelyansky, "Localization of Diffusive Excitation in Multi-Level Systems", Physica v.28D, p.103-114 (1987) (here) ; Preprint INP "Quantum localization of dynamical chaos" 85-122, Novosibirsk 10 June 1985, BINP copy in Russian (here) ; Preprint INP 86-187, Novosibirsk 17 November 1986, BINP copy in English (here)
2.9. F.Haake, D.L.Shepelyansky, "The Kicked Rotator as a Limit of the Kicked Top", Europhys. Lett. v.5, p.671 (1988) (here)
2.10. F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos in a Model of Multilevel Atom Interacting with Resonant Field", Proc. XIII Int. Conf. Quant. and Nonlin. Opt., Minsk, v.1, p.77 (1988) (in Russian (here) ).
2.11. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos: Localization vs. Ergodicity", Physica 33D, p.77-88 (1988) (here) ; Preprint INP 86-166, Novosibirsk 22 October 1986, BINP copy in Russian (here)
1989
2.12. G.Casati, I.Guarneri, D.L.Shepelyansky, "Anderson Transition in a One-Dimensional System with Three Incommensurate Frequencies", Phys. Rev. Lett. v.62, p.345-348 (1989) (here)
1991
2.13. R.Graham, M.Schlautmann, and D.L.Shepelyansky, "Dynamical Localization in Josephson Junctions" , Phys. Rev. Lett., v.67, N2, p.255-258 (1991) (here)
2.14. G.Casati, I.Guarneri, M.Leschanz, D.L.Shepelyansky, C.Sinha, "Diffusion over Localized Adiabatic States in a Modulated Quantum Kicked Rotator", Phys. Lett. A, v.154, N1,2, p.19-23 (1991) (here)
2.15. F.Benvenuto, G.Casati, I.Guarneri, D.L.Shepelyansky. "A Quantum Transition from Localized to Extended States in a Classically Chaotic System", Z.Phys.B - Condensed Matter, v.84, p.159 (1991) (here) (scan (here) )
2.16. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Statistics of Quantum Lifetimes in a Classically Chaotic System", Phys. Rev. A, v.43, N8, p.4517-4520 (1991) (here)
2.17. R.Lima, D.Shepelyansky, "Fast Delocalization in a Model of Quantum Kicked Rotator", Phys. Rev. Lett., v.67, N11, p.1377-1380 (1991) (here)
2.18. D.L.Shepelyansky, "Localization and Delocalization of Quantum Chaos", in "Quantum Chaos - Quantum Measurement" eds. P.Cvitanovic, I.Percival, A.Wirzba, Kluwer Academic Publishers, Dordrecht-Boston-London 1992 p.81-87 (here)
2.19. S.Fishman, D.L.Shepelyansky, "Manifestation of Localization in Noise Induced Ionization and Dissociation", Europhys. Lett., v. 16, N7, p. 643-648 (1991) (here)
1992
2.20. R.Artuso, G.Casati, D.L.Shepelyansky, "Fractal Spectrum and Anomalous Diffusion in the Kicked Harper Model", Phys. Rev. Lett. v.68 N26 (1992) p.3826-3829 (here)
2.21. D.Shepelyansky, C.Sire, "Quantum Evolution in a Dynamical Quasicrystal", Europhys. Lett. v.20, N2 p.95-100 (1992) (here)
1995
2.22. B.V.Chirikov, D.L.Shepelyansky, "Shnirelman peak in level spacing statistics", Phys. Rev. Lett. v.74 (1995) p. 518-521 (here) ; Preprint BINP 94-26, Novosibirsk 1986, BINP copy in English (here)
2.23. F.Borgonovi, D.L.Shepelyansky, "Adiabatic destruction of Anderson localization", Phys. Rev. E v.51 (1995) p.1026-1029 (here)
2.24. F.Borgonovi, D.L.Shepelyansky, "Spectral variety in the kicked Harper model", Europhys. Lett. v.29 (1995) p.117-122 (here)
1996
2.25. F.Borgonovi, D.L.Shepelyansky, "Two interacting particles in an effective 2-3-d random potential", J. de Physique I France v.6 (1996) p.287-299 (cond-mat/9507107) (here) ; update D.L.Shepelyansky, "Anderson transition in three and four effective dimensions for the frequency modulated kicked rotator", (arXiv:1102.4450[cond-mat.dis-nn] Feb 22 (2011) (here) )
1997
2.26. F.Borgonovi and D.L.Shepelyansky, "Particle propagation in a random and quasi-periodic potential", Physica D, v.109 (1997) p.24-31 (cond-mat/9610137) (here)
2.27. K.M.Frahm and D.L.Shepelyansky, "Quantum localization in rough billiards", Phys. Rev. Lett. v.78 (1997) p.1440-1443 (cond-mat/9612118) (here)
2.28. K.M.Frahm and D.L.Shepelyansky, "Emergence of quantum ergodicity in rough billiards", Phys. Rev. Lett. v.79 (1997) p.1833 - 1836 (cond-mat/9702135) (here)
2.29. G.Casati, G.Maspero and D.L.Shepelyansky, "Relaxation process in a regime of quantum chaos", Phys. Rev. E, v. 56 (1997) p. R6233-R6236 (cond-mat/9706103) (here)
1999
2.30. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum fractal eigenstates", Physica D v. 131 (1999) p. 311 - 316 (cond-mat/9710118) (here) (color paper scan (here) ; color cond-mat version (here) )
2.31. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poncar\'e recurrences", Phys. Rev. Lett. v.82 (1999) p. 524 - 527 (cond-mat/9807145) (here)
2001
2.32. G. Casati, G. Mantica and D.L.Shepelyansky, "Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator", Phys. Rev. E v.63 (2001) p. 066217 (cond-mat/0007437) (here)
2005 - 2007
2.33. G.Carlo, G.Benenti and D.L.Shepelyansky, ``Dissipative quantum chaos: transition from wave packet collapse to explosion'', Phys. Rev. Lett. v.95, p.164101 (2005) (quant-ph/0503081) (here)
2.34. D.L.Shepelyansky, "Proposal of experimental realization of 3D Anderson transition with kicked cold atoms", two letters to J.C.Garreau at 29 July 2005 and 3 Oct 2005, unpublished, (here)

2008
2.35. D.L.Shepelyansky, ``Fractal Weyl law for quantum fractal eigenstates'', Phys. Rev. E. v.77, p.015202(R) (2008) (here) (arxiv:0709.2336[cond-mat] (here) )
2.36. J.Martin, B.Georgeot and D.L.Shepelyansky, ``Loschmidt cooling by time reversal of atomic matter waves'', (arxiv:0710.4860[cond-mat] (here) ; ``Cooling by time reversal of atomic matter waves'', Phys. Rev. Lett. v.100, p.044106 (2008) ( (here) )
2009
2.37. K.M.Frahm and D.L.Shepelyansky, ``Diffusion and localization for the Chirikov typical map'', Phys. Rev. E. v.80, p.016210 (2009) (here) (arxiv:09051884[cond-mat] (here) )
2018
2.38 L.Ermann and D.L.Shepelyansky, ``Incommensurate standard map'', Phys. Rev. E 25 v.99, p.012215 (2019) (here) (arXiv:1810.11132 [nlin.CD] (here) )
2021
2.39 K.M.Frahm and D.L.Shepelyansky, ``Chaotic Einstein-Podolsky-Rosen pairs, measurements and time reversal'', Eur. Phys. J. D v.75, p. 277(2021); https://doi.org/10.1140/epjd/s10053-021-00274-6 (here) ); (arXiv:2106.03248 [cond-mat.quant-gas] (here) )