Dark Solitons in Holographic Superfluids

TL;DR

This paper constructs and analyzes dark soliton solutions in a holographic superfluid model, revealing how the condensate and charge density depletion scales vary with chemical potential.

Contribution

It introduces a holographic model for dark solitons in superfluids and examines the relationship between condensate and charge density depletion scales.

Findings

The condensate and charge density depletion scales differ significantly.

Depletion of charge density varies with chemical potential.

The two length scales are related by a non-trivial function.

Abstract

We construct dark soliton solutions in a holographic model of a relativistic superfluid. We study the length scales associated with the condensate and the charge density depletion, and find that the two scales differ by a non-trivial function of the chemical potential. By adjusting the chemical potential, we study the variation of the depletion of charge density at the interface.