Phase diffusion of a two-component Bose-Einstein condensates: exact and short-time solutions for arbitrary coherent spin state

TL;DR

This paper analyzes phase diffusion in two-component Bose-Einstein condensates, providing exact and short-time solutions for arbitrary initial states, highlighting how initial state parameters influence diffusion dynamics.

Contribution

It offers analytical expressions for phase diffusion time for arbitrary coherent spin states, extending understanding beyond symmetric initial conditions.

Findings

Phase diffusion time depends on initial state parameters.

Diffusion slows down when initial state deviates from symmetric configuration.

Analytical solutions are derived for arbitrary initial coherent states.

Abstract

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|\theta_0,\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for $\theta_0\neq\pi/2$ case. In comparison with the symmetrical case (i.e., $\theta_0=\pi/2$), we find that the diffusion process becomes slowly due to the reduced atom number variance.