Solitary waves of Bose-Einstein-condensed atoms confined in finite rings

Journal Article · Sun Aug 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.023604· OSTI ID:21448544

Smyrnakis, J; Magiropoulos, M; Kavoulakis, G M ^[1]; Jackson, A D ^[2]

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1. Technological Education Institute of Crete, P.O. Box 1939, GR-71004, Heraklion (Greece)
2. Niels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)

Motivated by recent progress in trapping Bose-Einstein-condensed atoms in toroidal potentials, we examine solitary-wave solutions of the nonlinear Schroedinger equation subject to periodic boundary conditions. When the circumference of the ring is much larger than the size of the wave, the density profile is well approximated by that of an infinite ring; however, the density and the velocity of propagation cannot vanish simultaneously. When the size of the ring becomes comparable to the size of the wave, the density variation becomes sinusoidal and the velocity of propagation saturates to a constant value.

• OSTI ID: 21448544
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOUNDARY CONDITIONS
DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERIODICITY
PHYSICAL PROPERTIES
POTENTIALS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
TRAPPING
VARIATIONS
VELOCITY
WAVE EQUATIONS
WAVE PROPAGATION