Matter-wave localization in a random potential

Localization of a matter wave packet in a disordered potential

Polymer localization in random potential

This work re-examines the classical problem of polymer collapse in a random system, using a Gaussian variational formalism to treat the ‘‘poor solvent’’ case. In particular we seek to clarify some of the disputed questions related to symmetry breaking between the replicas used to analyze such quenched systems, and the scaling of the globular collapse with the disorder strength. We map the rando...

Dynamics of matter-wave solitons in a ratchet potential.

We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero mean, which realizes a flashing ratchet for matter-wave solitons. We find that the average velocity of a soliton and the soliton current induced by the ratchet d...

Matter - wave diffraction in time with a linear potential

Diffraction in time of matter waves incident on a shutter which is removed at time t = 0 is studied in the presence of a linear potential. The solution is also discussed in phase space in terms of the Wigner function. An alternative configuration relevant to current experiments where particles are released from a hard wall trap is also analyzed for single-particle states and for a Tonks-Girarde...

Diffusion of Wave Packets in a Markov Random Potential

We consider the evolution of a tight binding wave packet propagating in a time dependent potential. If the potential evolves according to a stationary Markov process, we show that the square amplitude of the wave packet converges, after diffusive rescaling, to a solution of a heat equation.