A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
arXiv:0812.3403 · doi:10.1103/PhysRevB.80.024420
Abstract
In this work, we derive the equations of motion governing the hydrodynamics of spin-F spinor condensates. We pursue a description based on standard physical variables (total density and superfluid velocity), alongside 2F `spin-nodes': unit vectors that describe the spin F state, and also exhibit the point-group symmetry of a spinor condensate's mean-field ground state. The hydrodynamic equations of motion consist of a mass continuity equation, 2F Landau-Lifshitz equations for the spin-nodes, and a modified Euler equation. In particular, we provide a generalization of the Mermin-Ho relation to spin one, and find an analytic solution for the skyrmion texture in the incompressible regime of a spin-half condensate. These results exhibit a beautiful geometrical structure that underlies the dynamics of spinor condensates.
12 pages. First paper in two-part series
References in corpus (23)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Bose-Einstein condensation of chromium
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
- Resonant control of spin dynamics in ultracold quantum gases by microwave dressing
- Quantum quenches in a spinor condensate
- Coherent collisional spin dynamics in optical lattices
- Knots in a Spinor Bose-Einstein Condensate
- Classifying Novel Phases of Spinor Atoms
- Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
- Amplification of Fluctuations in a Spinor Bose Einstein Condensate
- Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate
- Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
- Cr Spinor Condensate A Biaxial or Uniaxial Spin Nematic
- Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
- Long wavelength spin dynamics of ferromagnetic condensates
- Classifying Vortices in S=3 Bose-Einstein Condensates
- Inert states of spin-S systems
- Quantum Noise, Scaling and Domain Formation in a Spinor BEC
- Symmetry and inert states of spin Bose Condensates
- Dynamical instability of the XY spiral state of ferromagnetic condensates
- Dynamical models and the phase ordering kinetics of the s=1 spinor condensate
- Spin dynamics across the superfluid-insulator transition of spinful bosons
Cited by in corpus (37)
- Spinor Bose-Einstein condensates
- Degenerate Quantum Gases with Spin-Orbit Coupling
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
- Numerical Studies of Quantum Turbulence
- Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
- Hydrodynamic Description of Spin-1 Bose-Einstein Condensates
- N-qubit states as points on the Bloch sphere
- Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
- Emergence of Chiral Magnetism in Spinor Bose-Einstein Condensate with Rashba Coupling
- Low energy dynamics of spinor condensates
- Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate
- Coarsening dynamics driven by vortex-antivortex annihilation in ferromagnetic Bose-Einstein condensates
- Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms
- Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
- Unconventional Universality Class of One-Dimensional Isolated Coarsening Dynamics in a Spinor Bose Gas
- Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensates
- Edge binding of sine-Gordon solitons in spin-orbit coupled Bose-Einstein condensates
- Quantum rotor theory of spinor condensates in tight traps
- Direct and inverse cascades of spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates
- Spin-glass-like behavior in the spin turbulence of spinor Bose-Einstein condensates
- Polynomial method to study the entanglement of pure N-qubit states
- Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets
- Magnetization relaxation and geometric forces in a Bose ferromagnet
- The Local Spin Structure of Large Spin Fermions
- The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
- Singlet Mott State Simulating the Bosonic Laughlin Wave Function
- Fate of Topology in Spin-1 Spinor Bose-Einstein Condensate
- Nonholonomy of order parameters and su(3) vortices in spin-1 Bose-Einstein condensates
- Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates
- Coherent-State Approach for Majorana representation
- Composite Pulses in N-level Systems with SU(2) Symmetry and their Geometrical Representation on the Majorana Sphere
- Berry phases of higher spins due to internal geometry of Majorana constellation and relation to quantum entanglement
- Many-particle Quantum Hydrodynamics of Spin-1 Bose-Einstein Condensates
- Morphological Superfluid in a Nonmagnetic Spin-2 Bose-Einstein Condensate
- Spatial distribution of superfluidity and superfluid distillation of Bose liquids
- Current-driven motion of magnetic topological defects in ferromagnetic superconductors