Dynamical behaviour of soliton train in holographic superfluids at zero temperature

TL;DR

This paper explores the stability and phase behavior of soliton trains in holographic superfluids at zero temperature, revealing stable configurations and a complex phase diagram depending on quantization schemes.

Contribution

It constructs a soliton train model in holographic superfluids and analyzes stability under different quantizations, highlighting new phase diagram features.

Findings

Existence of two elastic and one phonon mode upon perturbation

Stable soliton train configurations under alternative quantization

Rich phase diagram with respect to chemical potential under standard quantization

Abstract

We construct a soliton train configuration with holographic superfluid model under AdS soliton background. We investigate the stability of a soliton train using Bloch waves under two distinct quantization schemes. Upon imposing a minor perturbation on the soliton train system, it has been observed that there exist two elastic modes and one phonon mode. Most importantly, we find, under soliton train background, that there is a rich phase diagram concerning the chemical potential under standard quantization. Nevertheless, there are no unstable modes under alternative quantization.