Low energy dynamics of spinor condensates

Abstract

We present a derivation of the low energy Lagrangian governing the dynamics of the spin degrees of freedom in a spinor Bose condensate, for any phase in which the average magnetization vanishes. This includes all phases found within mean-field treatments except for the ferromagnet, for which the low energy dynamics has been discussed previously. The Lagrangian takes the form of a sigma model for the rotation matrix describing the local orientation of the spin state of the gas.

References in corpus (7)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Classifying Novel Phases of Spinor Atoms
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Long wavelength spin dynamics of ferromagnetic condensates
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets

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• Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
• Extremal quantum states
• Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate
• Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars
• Berry phase induced dimerization in one-dimensional quadrupolar systems
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Quantumness Beyond Entanglement: The Case of Symmetric States
• Quantum Polarimetry
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• The Local Spin Structure of Large Spin Fermions
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Coherent-State Approach for Majorana representation
• Quantum Rotor Theory of Systems of Spin-2 Bosons
• Morphological Superfluid in a Nonmagnetic Spin-2 Bose-Einstein Condensate
• Unvortex Lattice and Topological Defects in Rigidly Rotating Multicomponent Superfluids