2011/09/30 by Yuki Kawaguchi, Masahito Ueda · 6 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Explicit symmetry breaking #Global symmetry #Ground state #Hamiltonian (control theory) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spinor #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Symmetry number #Theoretical physics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.84.053616
published as Phys. Rev. A 84, 053616 (2011) · 19 pages, 7 figures
arxiv created 2011/10/24 · openalex publication_date 2011/11/15 · arxiv updated 2011/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a method for systematically finding ground states of spinor Bose-Einstein condensates by utilizing the symmetry properties of the system. By this method, we can find not only an inert state, whose symmetry is maximal in the manifold under consideration, but also a noninert state, which has lower symmetry and depends on the parameters in the Hamiltonian. We establish the symmetry-classification method for the spin-1, 2, and 3 cases at zero magnetic field, and find an additional phase in the last case. The properties of the vortices in the spin-3 system are also discussed.