Resonant trapping in the transport of a matter-wave soliton through a quantum well

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.033614· OSTI ID:21408472

Ernst, Thomas; Brand, Joachim ^[1]

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1. Centre for Theoretical Chemistry and Physics and Institute for Natural Sciences, Massey University (Albany Campus), Private Bag 102 904, NSMC, Auckland (New Zealand)

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 and on the 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.

• OSTI ID: 21408472
• Journal Information: Physical Review. A, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevA.81.033614; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
ATOMS
BOSE-EINSTEIN CONDENSATION
BOUND STATE
COMPUTERIZED SIMULATION
COORDINATES
DEPTH
INTERACTIONS
NONLINEAR PROBLEMS
POTENTIALS
PROBES
QUANTUM WELLS
REFLECTION
SCATTERING
SCHROEDINGER EQUATION
SOLITONS
TRANSMISSION
TRAPPING
VARIATIONAL METHODS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
NANOSTRUCTURES
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SIMULATION
WAVE EQUATIONS