Publications: 6. Nonlinearity, Localization, BEC Dynamics
(Forest in autumn, Akademgorodok)
1991
6.1. F.Benvenuto, G.Casati, A.S.Pikovsky,
D.L.Shepelyansky,
"Manifestations
of Classical and Quantum Chaos in Nonlinear Wave Propagation",
Phys. Rev. A, v.44, N6, p. R3423-R3426 (1991)
(here)
1993
6.2. D.L.Shepelyansky,
"Delocalization of Quantum Chaos
by Weak Nonlinearity", Phys. Rev. Lett. v.70 (1993) p.1787-1790
(here)
1995
6.3. D.L.Shepelyansky,
"Quantum Localization, Chaos and
Nonlinear Interactions", Proc. Int. Conf.
The Grand Finale, 5-10 September 1993, Como, Italy;
Physica D v.86 (1995) p. 45 - 52
(here)
2008
6.4. A.S.Pikovsky and D.L.Shepelyansky,
"Destruction of Anderson localization by a weak nonlinearity",
Phys. Rev. Lett. v.100, p.094101 (2008)
(here)
(arxiv:0708.3315[cond-mat] (here)
6.5. J.Martin, B.Georgeot and
D.L.Shepelyansky,
"Time reversal of Bose-Einstein condensates",
Phys. Rev. Lett. v.101, p.074102 (2008)
(here) ;
(arxiv:0804.3514[cond-mat] (here) )
6.6. I.Garcia-Mata and D.L.Shepelyansky,
"Delocalization induced by nonlinearity in systems with disorder",
Phys. Rev. E v.79, p.026205 (2009)
(here) ;
(arxiv:0805.0539[cond-mat]
(here) )
6.7. J.Martin, B.Georgeot and
D.L.Shepelyansky,
"Chaotic dynamics of a Bose-Einstein condensate coupled to a qubit",
Phys. Rev. v.79, p.066205 (2009)
(here) ;
(arxiv:0812.5067[cond-mat]
(here) )
2009
6.8. I.Garcia-Mata
and D.L.Shepelyansky, "Nonlinear delocalization
on disordered Stark ladder",
Eur. Phys. J. B v.71, pp.121-124 (2009)
(here)
(arxiv:0903.2103
(here) )
6.9. M.Mulansky, K.Ahnert, A.Pikovsky
and D.L.Shepelyansky,
"Dynamical thermalization of disordered nonlinear lattices",
Phys. Rev. E v.80, p.056212 (2009)
(here)
(arxiv:0903.2191
(here) )
2011
6.10. M.Mulansky, K.Ahnert,
A.Pikovsky and D.L.Shepelyansky,
"Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems",
J. Stat. Phys. v.145, p.1256-1274 (2011)
(here)
(arXiv:1103.2634v1 [nlin.CD] (here) )
2012
6.11 D.L.Shepelyansky,
"Kolmogorov turbulence, Anderson localization and KAM integrability",
Eur. Phys. J. B v.85, p.199 (2012)
(here)
(arXiv:1203.1130v1 [nlin.CD] (here) )
2013
6.12 L.Ermann and D.L.Shepelyansky,
"Quantum Gibbs distribution from dynamical
thermalization in classical nonlinear lattices",
New J. Phys. v.15, p.123004 (2013)
(here) ,
(video abstract 107MB))
(arXiv:1307.5707 [nlin.CD]
(here) )
2014
6.13 L.Ermann and D.L.Shepelyansky,
"Destruction of Anderson localization by nonlinearity
in kicked rotator at different effective dimensions",
J. Phys. A: Math. Theor. v.47, p.335101 (2014)
(here)
(arXiv:1403.2692 [cond-mat.dis-nn]
(here) )
2015
6.14 L.Ermann, E.Vergini and D.L.Shepelyansky,
"Dynamical thermalization of Bose-Einstein condensate in Bunimovich stadium",
Europhys. Lett. v.111, p. 50009 (2015) [for private use only]
(here)
(arXiv:1505.05130 [cond-mat.quant-gas]
(here) ;
v2 (here) )
2016
6.15. L.Ermann, E.Vergini and
D.L.Shepelyansky,
"Dynamics and thermalization a Bose-Einstein condensate in
a Sinai-oscillator trap",
Phys. Rev. A v.94, p.013618 (2016)
(here) ;
"Dynamics and thermalization of Bose-Einstein condensate
in Sinai oscillator trap",
arXiv:1605.02831 [cond-mat.quant-gas]
(here) ; v2 (here) )
2017
6.16. L.Ermann, E.Vergini and
D.L.Shepelyansky,
"Kolmogorov turbulence defeated by Anderson localization
for a Bose-Einstein condensate in a Sinai-oscillator trap",
Phys. Rev. Lett. v.119, p.054103 (2017)
(here)
(arXiv:1703.07386 [cond-mat.quant-gas]
(here) )
6.17 J.Martin, B.Georgeot,
D.Guery-Odelin and D.L.Shepelyansky,
"Kapitza stabilization of a repulsive Bose-Einstein condensate
in an oscillating optical lattice",
Phys. Rev. A v.97, p.023607 (2018)
(here) ,
(here total) ;
Erratum Phys. Rev. A v.97, p.039906(E) (2018)
(here erratum) ;
(arXiv:1709.07792 [cond-mat.quant-gas]
(here) ;
v3-corrected (here) )
2021
6.18 L.Ermann and D.L.Shepelyansky,
"Deconfinement of classical Yang-Mills color fields in a disorder potential",
CHAOS (AIP) 31, 093106 (2021); https://doi.org/10.1063/5.0057969
(here) ;
(arXiv:2103.16621[cond-mat.str-el]
(here) )
2022
6.19 K.M.Frahm and D.L.Shepelyansky,
"Nonlinear perturbation of Random Matrix Theory",
submitted to PRL 22 Dec (2022), Phys. Rev. Lett. v.131. p.077201 (2023)
(here) ,
(arXiv:2212.11955 [cond-mat.stat-mech] (here) ;
update 17 May 2023 (here) )
2024
6.20 K.M.Frahm and D.L.Shepelyansky,
"Random matrix model of Kolmogorov-Zakharov turbulence",
Phys. Rev. E v.109, p.044201 (2024) (here) ;
(arXiv:2401.11545 [cond-mat.stat-mech] (here) ),