Phase-Dependent Spontaneous Spin Polarization and Bifurcation Delay in Coupled Two-Component Bose-Einstein Condensates

TL;DR

This paper investigates how phase-dependent parameters influence spontaneous spin polarization and bifurcation delay in coupled two-component Bose-Einstein condensates, revealing hysteresis and metastability phenomena.

Contribution

It demonstrates the role of physical parameters and relative phase in bifurcation and polarization, introducing bifurcation delay as a key factor in metastability.

Findings

Bifurcation and polarization depend on parameters and phase.

Bifurcation delay causes hysteresis and metastability.

System transitions from Rabi to polarized regime.

Abstract

The spontaneous spin polarization and bifurcation delay in two-component Bose-Einstein condensates coupled with laser or/and radio-frequency pulses are investigated. We find that the bifurcation and the spontaneous spin polarization are determined by both physical parameters and relative phase between two condensates. Through bifurcations, the system enters into the spontaneous spin polarization regime from the Rabi regime. We also find that bifurcation delay appears when the parameter is swept through a static bifurcation point. This bifurcation delay is responsible for metastability leading to hysteresis.