Resonant trapping in the transport of a matter-wave soliton through a quantum well
arXiv:0912.3019 · doi:10.1103/PhysRevA.81.033614
Abstract
We theoretically investigate the scattering of bright solitons in a Bose-Einstein condensate on narrow attractive potential wells. Reflection, transmission and trapping of an incident soliton are predicted to occur with remarkably abrupt transitions upon varying the potential depth. Numerical simulations of the nonlinear Schroedinger equation are complemented by a variational collective coordinate approach. The mechanism for nonlinear trapping is found to rely both on resonant interaction between the soliton and bound states in the potential well as well as radiation of small amplitude waves. These results suggest that solitons can be used to probe bound states that are not accessible through scattering with single atoms.
arXiv comment13 pages, 20 figures
References in corpus (23)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Bright gap solitons of atoms with repulsive interaction
- Quantum reflection of atoms from a solid surface at normal incidence
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Low velocity quantum reflection of Bose-Einstein condensates
- Dynamics of a matter-wave bright soliton in an expulsive potential
- Bose-condensed Bright Solitons under Transverse Confinement
- Nonlinear Resonant Transport of Bose Einstein Condensates
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Friction and diffusion of matter-wave bright solitons
- Formation of dynamical Schrödinger cats in low-dimensional ultracold attractive Bose gases
- Collisions of bright solitary matter waves
- Quantum reflection of bright matter-wave solitons
- Anomalous quantum reflection of Bose-Einstein condensates from a silicon surface: the role of dynamical excitations
- Scattering and Trapping of Nonlinear Schroedinger Solitons in External Potentials
- Resonant scattering of solitons
- Transport of ultracold Bose gases beyond the Gross-Pitaevskii description
- Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
- Quantum switches and quantum memories for matter-wave lattice solitons
- Non-equilibrium dynamics: Studies of reflection of Bose-Einstein condensates
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