"Polar" and "antiferromagnetic" order in f=1 many-boson systems

Abstract

In a system of interacting f=1 bosons (in the subspace where the total spin in the z-direction is vanishing), we prove inequalities for the ground state expectation value of the density of spin-0 bosons. The inequalities imply that the ground state possesses "polar" or "antiferromagnetic" order when the quadratic Zeeman term q is large enough. In the low density limit, the inequalities establish the existence of a sharp transition at q=0 when q is varied.

5 pages. version 2: some changes in the introduction and the discussion on the symmetry breaking. This version will appear in Phys. Rev. Lett

References in corpus (3)

• Fragmentation of Bose-Einstein Condensates
• Antiferromagnetic Spinor Condensates are Quantum Rotors
• Ground States of the Spin-1 Bose-Hubbard Model

Cited by in corpus (5)

• From many-body oscillations to thermalization in an isolated spinor gas
• Spin fragmentation of Bose-Einstein condensates with antiferromagnetic interactions
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Spin 1 condensates at thermal equilibrium : a $SU(3)$ coherent state approach
• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model