Bright matter-wave soliton collisions at narrow barriers
arXiv:1203.3080 · doi:10.1103/PhysRevA.85.053621
Abstract
We study fast-moving bright solitons in the focusing nonlinear Schrödinger equation perturbed by a narrow Gaussian potential barrier. In particular, we present a general and comprehensive analysis of the case where two fast-moving bright solitons collide at the location of the barrier. In the limiting case of a delta-function barrier, we use a quasi-analytic method to show that the relative norms of the outgoing waves depends sinusoidally on the relative phase of the incoming waves, and to determine whether one, or both, of the outgoing waves are bright solitons. We show using numerical simulations that this quasi-analytic result is valid in the high velocity limit: outside this limit nonlinear effects introduce a skew to the phase-dependence, which we quantify. Finally, we numerically explore the effects of introducing a finite-width Gaussian barrier. Our results are particularly relevant, as they can be used to describe a range of interferometry experiments using bright solitary matter-waves.
8 pages 7 figures
References in corpus (10)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Fast soliton scattering by delta impurities
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Soliton splitting by external delta potentials
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Realizing bright matter-wave soliton collisions with controlled relative phase
- Dynamics of matter-wave solitons in a ratchet potential
- Bright Solitary-Matter-Wave Collisions in a Harmonic Trap: Regimes of Soliton-like Behaviour