Tachyon Condensation Due to Domain-Wall Annihilation in Bose-Einstein Condensates

TL;DR

This paper theoretically demonstrates that domain-wall annihilation in two-component Bose-Einstein condensates induces tachyon condensation and spontaneous symmetry breaking, revealing how extra dimensions influence phase transitions.

Contribution

It introduces a novel model linking domain-wall annihilation to tachyon condensation and symmetry breaking in BECs, with numerical validation of phase-ordering kinetics.

Findings

Tachyon condensation occurs during domain-wall annihilation.

Subspatial dynamics follow phase-ordering kinetics.

The model is experimentally feasible.

Abstract

We show theoretically that a domain-wall annihilation in two-component Bose-Einstein condensates causes tachyon condensation accompanied by spontaneous symmetry breaking in a two-dimensional subspace. Three-dimensional vortex formation from domain-wall annihilations is considered a kink formation in subspace. Numerical experiments reveal that the subspatial dynamics obey the dynamic scaling law of phase-ordering kinetics. This model is experimentally feasible and provides insights into how the extra dimensions influence subspatial phase transition in higher-dimensional space.