Splitting dynamics of quantized composite vortices in holographic miscible binary superfluids

TL;DR

This paper investigates the splitting and stability of composite vortices in strongly interacting binary superfluids using a holographic model, revealing temperature-dependent dynamics and differences from weakly interacting regimes.

Contribution

It introduces a holographic approach to study vortex dynamics in strongly coupled superfluids, extending beyond the limitations of the Gross-Pitaevskii equation and incorporating finite temperature effects.

Findings

Vortex stability and splitting depend on temperature.

Different dynamical behaviors are observed compared to GPE results.

Final vortex states are typically singly quantized, with no long-lived vortices due to dissipation.

Abstract

The stability properties and splitting dynamics of multiply quantized vortices are the subject of interest in both theoretical and experimental investigations. Going beyond the regime of validity of Gross-Pitaevskii equation (GPE), we study the composite vortices in miscible strongly interacting binary superfluids by employing a holographic model that naturally incorporate finite temperature and dissipation. The composite vortices is classified in terms of an integer pair $(S_1, S_2)$ of phase winding numbers and can share the same vortex core, while either co-rotating or counter-rotating, leading to very diverse vortex structures. We uncover different dynamical behaviors compared to results from GPE that is valid in weak coupling limit and zero temperature. In particular, we show that the occurrence of dynamic instabilities and the instability strength are sensitive to the temperature. We identify several temperature dependent dynamical transitions in $(1,1)$, $(2,\pm 1)$ and $(2,2)$ vortices. The splitting behaviors associated with different multipolarities are demonstrated by solving the full-time evolution for slightly perturbed composite vortices. We find that the final states of all composite vortices are generally singly quantized vortices, and no additional long living vortex is formed due to strong dissipation. Our results highlight the important role of temperature and the distinction between dynamics of composite vortices in weakly interacting superfluids without dissipation and strongly interacting case with dissipation, shedding a new light on the understanding of quantum vortex and dynamical instabilities in multicomponent superfluids.