Solitons in two-dimensional Bose-Einstein condensates
arXiv:0801.3307 · doi:10.1103/PhysRevA.77.045601
Abstract
The excitations of a two-dimensional (2D) Bose-Einstein condensate in the presence of a soliton are studied by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. The excitation spectrum is found to contain states which are localized near the soliton and have a dispersion law similar to the one of the stable branch of transverse oscillations of a 1D gray soliton in a 2D condensate. By using the stabilization method we show that these localized excitations behave as resonant states coupled to the continuum of free excitations of the condensate.
4 pages, 4 figures, published version
References in corpus (10)
- Dark Solitons in Bose-Einstein Condensates
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Observation of Quantum Shock Waves Created with Ultra Compressed Slow Light Pulses in a Bose-Einstein Condensate
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Observation of Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates
- Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation
- Motions in a Bose condensate: X. New results on stability of axisymmetric solitary waves of the Gross-Pitaevskii equation
- Stability and excitations of solitons in 2D Bose-Einstein condensates
Cited by in corpus (15)
- Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Observation of Stable Jones-Roberts Solitons in Bose-Einstein Condensates
- Nonlinear Dynamics in a Trapped Atomic Bose--Einstein Condensate Induced by an Oscillating Gaussian Potential
- On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
- Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
- Bright-like soliton solution in quasi-one-dimensional BEC in third order on interaction radius
- Exploring the Dynamics of Nonlocal Nonlinear Waves: Analytical Insights into the Extended Kadomtsev-Petviashvili Model
- Spin-up of a superfluid vortex lattice driven by rough boundaries
- Thermal Decay of Planar Jones-Roberts Solitons
- Observation of Jones-Roberts solitons in a paraxial quantum fluid of light
- Vortex pair dynamics in three-dimensional homogeneous dipolar superfluids
- Berezinskii-Kosterlitz-Thouless phase induced by dissipating quasisolitons
- Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation
- Velocity correlations of vortices and rarefaction pulses in compressible planar quantum fluids