Nonlinear Scattering of a Bose-Einstein Condensate on a Rectangular Barrier
arXiv:1006.5519 · doi:10.1103/PhysRevA.86.023621
Abstract
We consider the nonlinear scattering and transmission of an atom laser, or Bose-Einstein condensate (BEC) on a finite rectangular potential barrier. The nonlinearity inherent in this problem leads to several new physical features beyond the well-known picture from single-particle quantum mechanics. We find numerical evidence for a denumerably infinite string of bifurcations in the transmission resonances as a function of nonlinearity and chemical potential, when the potential barrier is wide compared to the wavelength of oscillations in the condensate. Near the bifurcations, we observe extended regions of near-perfect resonance, in which the barrier is effectively invisible to the BEC. Unlike in the linear case, it is mainly the barrier width, not the height, that controls the transmission behavior. We show that the potential barrier can be used to create and localize a dark soliton or dark soliton train from a phonon-like standing wave.
15 pages, 15 figures, new version includes clarification of definition of transmission coefficient in general nonlinear vs. linear case
References in corpus (11)
- Experimental observation of oscillating and interacting matter wave dark solitons
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Dissipative Transport of a Bose-Einstein Condensate
- Superfluidity versus Anderson localization in a dilute Bose gas
- Resonant trapping in the transport of a matter-wave soliton through a quantum well
- Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
- Anderson localization of a weakly interacting one dimensional Bose gas
- An analytical study of resonant transport of Bose-Einstein condensates
- Chaotic Spin-Wave Solitons in Magnetic Film Feedback Rings
- Multiple-scale analysis for resonance reflection by a one-dimensional rectangular barrier in the Gross-Pitaevskii problem
Cited by in corpus (6)
- Soliton-based matter wave interferometer
- Matter-wave soliton interferometer based on a nonlinear splitter
- Interactions of solitons with a Gaussian barrier: Splitting and recombination in quasi-1D and 3D
- Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers
- Dark solitons near potential and nonlinearity steps
- Quantum Scattering States in a Nonlinear Coherent Medium