Quantized vortex lines in BECs with a generalized equation of state

Abstract

Vortices are of fundamental importance for the understanding dynamical and thermodynamical properties of quantum fluids. In this chapter we focus on the effects of the corrections to the equation of state of a BEC on a vortex state. We consider the case of a condensate with short-range interactions in the absence and in the presence of an external harmonic confinement. We derive the equations obeyed by a static vortex line in both configurations and solve them both numerically and by a convenient ansatz for the wavefunction of the vortex state originally introduced by Fetter. Interesting generalization of this work include the study of the static properties of vortex lines in mixtures of BECs and condensates with non-local interactions, such as dipolar atoms.