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On spinor elliptic system: Uniqueness and symmetry breaking

2026/07/01 by Tuoxin Li, Xiao Luo, Juncheng Wei +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Physics of Superconductivity and Magnetism

paper · doi:10.1112/plms.70178

Abstract

Abstract A central goal in condensed matter and modern atomic physics is the exploration of quantum phases of matter. Spinor Bose–Einstein condensates are quantum fluids that simultaneously realize superfluidity and magnetism, both of which are associated with symmetry breaking. This was explored by Sadler et al. in spinor condensates, rapidly quenched across a quantum phase transition to a ferromagnetic state. In this paper, we provide a mathematical justification for this phenomenon by completely classifying the ground state of ferromagnetic spin‐F Bose–Einstein condensates in ring traps as well as analyzing their asympototic behavior on the number of atoms and total magnetization. In particular, our classification results show the validity of single‐mode approximation (SMA) phenomenon first observed by Law et al.

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