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

TY - JOUR

T1 - Solitary waves of Bose-Einstein-condensed atoms confined in finite rings

AU - Smyrnakis, J.

AU - Magiropoulos, M.

AU - Kavoulakis, G. M.

AU - Jackson, Andrew D.

PY - 2010/8/11

Y1 - 2010/8/11

N2 - Motivated by recent progress in trapping Bose-Einstein-condensed atoms in toroidal potentials, we examine solitary-wave solutions of the nonlinear Schrödinger 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.

AB - Motivated by recent progress in trapping Bose-Einstein-condensed atoms in toroidal potentials, we examine solitary-wave solutions of the nonlinear Schrödinger 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.

U2 - 10.1103/PhysRevA.82.023604

DO - 10.1103/PhysRevA.82.023604

M3 - Journal article

SN - 2469-9926

VL - 82

SP - 023604

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 2

ER -