Dynamical symmetry in spinor Bose-Einstein condensates

Abstract

We demonstrate that dynamical symmetry plays a crucial role in determining the structure of the eigenspectra of spinor Bose-Einstein condensates (BECs). In particular, the eigenspectra of spin- 1 and spin-2 BECs in the single-mode approximation are shown to be completely determined by dynamical symmetries, where a spin-2 BEC corresponds to the U(5) limit of the interacting boson model in nuclear physics. The eigenspectrum of a spin-3 BEC is solved analytically for a specific class of coupling constants, while it is shown that dynamical symmetry alone is not enough to determine the spectrum for arbitrary coupling constants. We also study the low-lying eigenspectra of spin-1 and spin-2 BECs in the absence of external magnetic field, and find, in particular, that the quasidegenerate spectra emerge for antiferromagnetic and cyclic phases. This implies that these systems are highly susceptible to external perturbations and may undergo symmetry-breaking transitions to other states upon increasing the size of system.

17 pages, 4 figures

References in corpus (19)

• Spinor Bose Condensates in Optical Traps
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Quantum spins mixing in spinor Bose-Einstein condensates
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• Fragmentation of Bose-Einstein Condensates
• Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
• Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D
• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Vectorial Bose-Einstein Condensates
• The Phase Diagrams of F=2 Spinor Bose Condensates
• Spin-3 Chromium Bose-Einstein Condensates
• On the nature of spinor Bose-Einstein condensates in rubidium
• Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
• ${}^{52}$Cr Spinor Condensate$--$ A Biaxial or Uniaxial Spin Nematic
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Topological defects in spinor condensates
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Symmetry and inert states of spin Bose Condensates
• Ground states of spin-3 Bose-Einstein condensates for conserved magnetization
• Bose-Einstein condensates of atoms with arbitrary spin

Cited by in corpus (13)

• Bogoliubov Theory and Lee-Huang-Yang Corrections in Spin-1 and Spin-2 Bose-Einstein Condensates in the Presence of the Quadratic Zeeman Effect
• Quasi-Nambu-Goldstone Modes in Bose-Einstein Condensates
• Dual algebraic structures for the two-level pairing model
• Seniority in quantum many-body systems. I. Identical particles in a single shell
• On nonlocal models of Kulish-Sklyanin type and generalized Fourier transforms
• Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates
• Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
• Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model
• Strong spin-oscillation of small spin-1 condensates caused by an inclined weak magnetic field
• Spinor Bose gas in an elongated trap
• $\mu$-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems
• Repeating head-on collisions in an optical trap and the evaluation of spin-dependent interactions among neutral particles
• Evaluation of the ${}^{52}$Cr-${}^{52}$Cr interaction via spin-flip scatterings