Effect of non-local interactions on the vortex solution in Bose-Einstein Condensates

Abstract

We consider the Gross-Pitaevskii (GP) model of a Bose-Einstein Condensate (BEC) to study a single vortex line in the presence of non-local repulsive s-wave scattering. We show that in addition to the vortex solution with core width of the order of the healing length, there exists a vortex solution whose width is a microscopic length scale of the order of s-wave scattering length and is independent of the healing length. We compare the two classes of vortex solution and show the region where one can possibly observe the vortex whose width is of the order of scattering length.

A section discussing the thin vortex solution in a harmonic trap is added

References in corpus (5)

• Energy-dependent effective interactions for dilute many-body systems
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• A simple model for interactions and corrections to the Gross-Pitaevskii Equation
• Quantum Hall states of bosons in rotating anharmonic traps
• Vortices and vortex states in Rashba spin-orbit-coupled condensates

Cited by in corpus (2)

• Quantum simulation of traversable wormhole spacetimes in a Bose-Einstein condensate
• A variational approach for the ground state profile of a trapped spinor-BEC: A detailed study of phase transition in spin-1 condensate at zero magnetic field