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Communications in Theoretical Physics

Decisive Role of Symmetry in the Structures of Three-Fermion System with the Spin Aligned

Wenfang Xie, Bao Cheng-guang

Published Jun 15, 1995• 0 citations
Publisher

Abstract

A three-fernion system with their spin aligned is examined to reveal that the quantum mechanical symmetry plays a decisive role in determining microscopic structures.
DOI
10.1088/0253-6102/23/4/429

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Laser-driven cold atoms near a plane retroreflecting mirror exhibit self-organization above a pump threshold. We analyze the properties of self-organized spin patterns in the ground state of cold rubidium atoms. Antiferromagnetic patterns in zero magnetic field give way to ferrimagnetic patterns if a small longitudinal field is applied. We demonstrate how the experimental system can be modeled as spin-1 atoms diffractively coupled by the light reflected by the mirror. The roles of both dipolar and quadrupolar magnetization components in determining the threshold and symmetry variations with a weak longitudinal magnetic field are examined. Although the magnetic structures correspond dominantly to a lattice of magnetic dipoles, the symmetry breaking to ferrimagnetic structures in a finite field is mediated by the coupling to a homogenous quadrupole (alignment), which is not possible in a spin-1/2 system. Our study provides a basis for further exploration of instabilities in driven multilevel systems with feedback.
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