An effective potential for one-dimensional matter-wave solitons in an axially inhomogeneous trap

Abstract

We demonstrate that a tight transverse trap with the local frequency, , gradually varying in the longitudinal direction ($x$) induces an effective potential for one-dimensional solitons in a self-attractive Bose-Einstein condensate. An analytical approximation for this potential is derived by means of a variational method. In the lowest approximation, the potential is $N(S+1){\omega }_{\perp }(x)$, with $N$ the soliton's norm (number of atoms), and $S$ its intrinsic vorticity (if any). The results can be used to devise nonuniform traps helping to control the longitudinal dynamics of the solitons. Numerical verification of the analytical predictions will be presented elsewhere.

to be published in Physics Letters A

References in corpus (4)

• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Deviation from one-dimensionality in stationary properties and collisional dynamics of matter-wave solitons
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Friction and diffusion of matter-wave bright solitons

Cited by in corpus (6)

• Vector solitons in nearly-one-dimensional Bose-Einstein condensates
• Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
• Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
• Matter-wave vortices in cigar-shaped and toroidal waveguides
• Bose-Einstein condensates under a spatially-modulated transverse confinement
• Gap solitons in superfluid boson-fermion mixtures