Abstract

We study the relaxation dynamics of quantum turbulence in a two-component Bose-Einstein condensate containing half-quantum vortices. We find a temporal scaling regime for the number of vortices and the correlation lengths that at early times is strongly dependent on the relative strength of the inter-species interaction. At later times we find that the scaling becomes universal, independent of the inter-species interaction, and approaches that numerically observed in a scalar Bose-Einstein condensate.

Highlights

  • DM an Abstract –We study the relaxation dynamics of quantum turbulence in a two-component BoseEinstein condensate containing half-quantum vortices

  • Introduction. – Since the realization of superfluidity, quantum turbulence (QT) has been studied in systems ranging from superfluid liquid Helium [1, 2] to quasi-particle condensates in solid-state systems [3]

  • In contrast to the scalar superfluids, multicomponent and spinor Bose-Einstein condensates (BECs) are described by multicomponent order parameters and allow for a wider range of topological defects, which give rise to novel dynamics [17,18,19,20]

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Summary

Introduction

DM an Abstract –We study the relaxation dynamics of quantum turbulence in a two-component BoseEinstein condensate containing half-quantum vortices. We numerically investigate the spatial and temporal properties of the relaxation dynamics of a non-equilibrium initial state in a two-dimensional two-component system containing HQVs. Using a pseudospin interpretation, we compute the temporal scaling of the correlation functions associated with the spin- and mass-superfluid ordering. HQVs with opposite circulation but with the phase singularity in the same component may annihilate which leads to a decay of the total vortex number.

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