157 research outputs found
Nonlinearly-enhanced energy transport in many dimensional quantum chaos
By employing a nonlinear quantum kicked rotor model, we investigate the
transport of energy in multidimensional quantum chaos. Parallel numerical
simulations and analytic theory demonstrate that the interplay between
nonlinearity and Anderson localization establishes a perfectly classical
correspondence in the system, neglecting any quantum time reversal. The
resulting dynamics exhibits a nonlinearly-induced, enhanced transport of energy
through soliton wave particles.Comment: 4 pages, 3 figures, submitte
Time-reversal focusing of an expanding soliton gas in disordered replicas
We investigate the properties of time reversibility of a soliton gas,
originating from a dispersive regularization of a shock wave, as it propagates
in a strongly disordered environment. An original approach combining
information measures and spin glass theory shows that time reversal focusing
occurs for different replicas of the disorder in forward and backward
propagation, provided the disorder varies on a length scale much shorter than
the width of the soliton constituents. The analysis is performed by starting
from a new class of reflectionless potentials, which describe the most general
form of an expanding soliton gas of the defocusing nonlinear Schroedinger
equation.Comment: 7 Pages, 6 Figure
Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schroedinger equation
We characterize the full family of soliton solutions sitting over a
background plane wave and ruled by the cubic-quintic nonlinear Schroedinger
equation in the regime where a quintic focusing term represents a saturation of
the cubic defocusing nonlinearity. We discuss existence and properties of
solitons in terms of catastrophe theory and fully characterize bistability and
instabilities of the dark-antidark pairs, revealing new mechanisms of decay of
antidark solitons.Comment: 8 pages, 10 figures, accepted in PR
Crossover dynamics of dispersive shocks in Bose-Einstein condensates characterized by two and three-body interactions
We show that the perturbative nonlinearity associated with three-atom
interactions, competing with standard two-body repulsive interactions, can
change dramatically the evolution of 1D dispersive shock waves in a
Bose-Einstein condensate. In particular, we prove the existence of a rich
crossover dynamics, ranging from the formation of multiple shocks regularized
by coexisting trains of dark and antidark matter waves, to 1D soliton collapse.
For a given scattering length, all these different regimes can be accessed by
varying the number of atoms in the condensate.Comment: 4 pages, 5 figure
Lifetime statistics of quantum chaos studied by a multiscale analysis
In a series of pump and probe experiments, we study the lifetime statistics
of a quantum chaotic resonator when the number of open channels is greater than
one. Our design embeds a stadium billiard into a two dimensional photonic
crystal realized on a Silicon-on-insulator substrate. We calculate resonances
through a multiscale procedure that combines graph theory, energy landscape
analysis and wavelet transforms. Experimental data is found to follow the
universal predictions arising from random matrix theory with an excellent level
of agreement.Comment: 4 pages, 6 figure
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