Dark matter-wave solitons in the dimensionality crossover

Abstract

We consider the statics and dynamics of dark matter-wave solitons in the dimensionality crossover regime from 3D to 1D. There, using the nonpolynomial Schrödinger mean-field model, we find that the anomalous mode of the Bogoliubov spectrum has an eigenfrequency which coincides with the soliton oscillation frequency obtained by the 3D Gross-Pitaevskii model. We show that substantial deviations (of order of 10% or more) from the characteristic frequency ${\omega }_z/\sqrt{2}$ (${\omega }_z$ being the longitudinal trap frequency) are possible even in the purely 1D regime.

Phys. Rev. A, in press

References in corpus (18)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Dark Solitons in Bose-Einstein Condensates
• Realization of Bose-Einstein condensates in lower dimensions
• Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
• Bose--Einstein solitons in highly asymmetric traps
• Motion of dark solitons in trapped Bose-Einstein condensates
• Collective oscillations of a 1D trapped Bose gas
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Dark soliton states of Bose-Einstein condensates in anisotropic traps
• Dynamics of dark solitons in elongated Bose-Einstein condensates
• On the stability of standing matter waves in a trap
• Landau dynamics of a grey soliton in a trapped condensate
• Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
• Phase Sensitive Recombination of Two Bose-Einstein Condensates on an Atom Chip
• Greying of the Dark Soliton: Depletion in the Anomalous Mode of the Bogoliubov Theory
• Dynamics of Bose-Einstein condensates in cigar-shaped traps
• Highly anisotropic Bose-Einstein condensates: crossover to lower dimensionality

Cited by in corpus (27)

• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Experimental observation of oscillating and interacting matter wave dark solitons
• Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
• Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
• Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
• Multiple dark-bright solitons in atomic Bose-Einstein condensates
• Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
• Quantum decay of dark solitons in one dimensional Bose systems
• Nonthermal fixed points and solitons in a one-dimensional Bose gas
• Dark soliton decay due to trap anharmonicity in atomic Bose-Einstein condensates
• Exploring Vortex Dynamics in the Presence of Dissipation: Analytical and Numerical Results
• Exploring Rigidly Rotating Vortex Configurations and their Bifurcations in Atomic Bose-Einstein Condensates
• Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities
• Generalized nonpolynomial Schrodinger equations for matter waves under anisotropic transverse confinement
• Probing quasi-integrability of the Gross-Pitaevskii equation in a harmonic-oscillator potential
• Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
• Quantum fluctuations in the image of a Bose gas
• Matter-wave dark solitons in box-like traps
• Dark solitons in cigar-shaped Bose-Einstein condensates in double-well potentials
• Anomalous oscillations of dark solitons in trapped dipolar condensates
• Quantum-limited position measurements of a dark matter-wave soliton
• From vortices to solitonic vortices in trapped atomic Bose-Einstein condensates
• Shock waves in a quasi one-dimensional Bose-Einstein condensate
• Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
• Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
• Characterising arbitrary dark solitons in trapped one-dimensional Bose-Einstein condensates