Variational approach for Bose-Einstein condensates in strongly disordered traps

Abstract

Recently, Nattermann and Pokrovsky [PRL 100, 060402 (2008)] have proposed a scaling approach for studying Bose-Einstein condensates in strongly disordered traps. In this paper we implement their scaling argument in the framework of the variational method for solving the time dependent Gross-Pitaevskii equation. We consider atomic gases with both short range s-wave interaction and long range anisotropic dipolar interaction. The theory is addressed to the regime of strong disorder and weak interactions where the physics is dominated by the collective pinning due to the disorder. The phenomenon of condensate fragmentation in dipolar gases is also analyzed.

References in corpus (15)

• Collective excitations of a trapped Bose-condensed gas
• Strong dipolar effects in a quantum ferrofluid
• Collective oscillations of a 1D trapped Bose gas
• Trapped condensates of atoms with dipole interactions
• Dynamics of Bose condensed gases in highly deformed traps
• Observation of Feshbach resonances in an ultracold gas of ${}^{52}$Cr
• Magnetic dipolar interaction in an atomic Bose Einstein condensate interferometer
• Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
• Weakly interacting Bose gas in a random environment
• Dimensional Reduction in Bose-Condensed Alkali-Metal Vapors
• Bose-Einstein Condensates in Strongly Disordered Traps
• Collective Oscillations in Trapped Bose-Einstein Condensed Gases in the Presence of Weak Disorder
• Localized states and interaction induced delocalization in Bose gases with quenched disorder
• Superfluid-insulator transition and BCS-BEC crossover in dirty ultracold Fermi gas
• Strategy Improvement for Concurrent Safety Games

Cited by in corpus (9)

• Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
• Dipolar Bose-Einstein Condensates with Weak Disorder
• Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
• Density of states in an optical speckle potential
• Hartree-Fock Mean-Field Theory for Trapped Dirty Bosons
• Quantum liquid droplets in Bose mixtures with weak disorder
• Binary Bose-Einstein condensates in a disordered time-dependent potential
• Non-equilibrium evolution of Bose-Einstein condensate deformation in temporally controlled weak disorder
• Collapsing dynamics of attractive Bose-Einstein condensates in random potentials