Kinetics of the disordered Bose gas with collisions

Abstract

We discuss the kinetics of the disordered interacting Bose gas using the Boltzmann transport equation. The theory may serve as a unifying framework for studying questions of dynamics of the expanding Bose gas at different stages of the expansion. We show that the transport theory allows us to straightforwardly reproduce and generalize a number of results previously obtained from microscopic models in different formalisms. Based on estimates for the interparticle scattering rates, we discuss the relevance of interaction effects for the localization problem in the interacting disordered Bose gas. We argue that, if the number of particles is large enough, the size of the expanding cloud may exceed the localization length. We describe the spreading of the wave packet in this regime as collision-induced diffusion and compare the obtained rate of expansion to known results on subdiffusive spreading in nonlinear disordered lattices.

7 pages

References in corpus (9)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Universal spreading of wavepackets in disordered nonlinear systems
• Expansion of a Bose-Einstein Condensate in the Presence of Disorder
• Bogoliubov Excitations of Disordered Bose-Einstein Condensates
• Anisotropic 2D diffusive expansion of ultra-cold atoms in a disordered potential
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Do nonlinear waves in random media follow nonlinear diffusion equations?
• Effective theory for the propagation of a wave-packet in a disordered and nonlinear medium
• Solving the Homogeneous Boltzmann Equation with Arbitrary Scattering Kernel

Cited by in corpus (7)

• Nonlinear lattice waves in heterogeneous media
• Thermalization of matter waves in speckle potentials
• Quench dynamics of a weakly interacting disordered Bose gas in momentum space
• Nonlinear Lattice Waves in Random Potentials
• Logarithmic expansion of many-body wave packets in random potentials
• The excitonic insulator route through a dynamical phase transition induced by an optical pulse
• From inverse-cascade to sub-diffusive dynamic scaling in driven disordered Bose fluids