The Symmetry of Current of the Coherent State From the View of O(3) sigma-model

TL;DR

This paper investigates the symmetry properties of the current in coherent states using topological and gauge theories, revealing its relation to supercurrents in two-condensate systems and introducing new charges and gauge potentials.

Contribution

It introduces a new expression for the current of coherent states and explores their symmetry via the O(3) sigma-model, linking coherence to supercurrents and novel gauge interactions.

Findings

Current of coherent state corresponds to supercurrent in two-condensate systems

Partial wave functions carry new charges and interact through a new U(1) gauge potential

Symmetry analysis reveals the coherence's underlying topological structure

Abstract

In this paper, we apply the reduced density trajectory, phi-mapping topological current theory and Ginzberg-Landau model to study the current of the coherent state. We give the new expression of the current of the coherent state. Based on this expression, the symmetry of the coherence is studied. We find that the current of the coherent state corresponds to the supercurrent of two-condensate system. The partial wave functions of the coherence carry new charges and their interaction is mediated by new U(1) gauge potential.