Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium

Abstract

The recently realized Bose-Einstein condensate of Dysprosium will become a spin-8 spinor condensate at ultralow magnetic fields. In such a high spin condensate, many phases with different symmetries can exist. Among them the most interesting ones are those with non-abelian point group symmetry. In this letter we discuss the variety of symmetry phases in a spin-8 condensate resulting from numerical solutions of the Hamiltonian. We show that these symmetries can be determined uniquely from the measurements of density population on each spin component in an ultralow magnetic field, together with the measurements of the collective modes in the zero-field limit. This method can also be applied to Bose-Einstein condensate of other magnetic atoms, such as Cr and Er.

arXiv comment7 pages, 3 figures

References in corpus (18)

• Spinor Bose Condensates in Optical Traps
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• The Phase Diagrams of F=2 Spinor Bose Condensates
• Classifying Novel Phases of Spinor Atoms
• Spontaneous demagnetization of a dipolar spinor Bose gas at ultra-low magnetic field
• Symmetry Classification of Spinor Bose-Einstein Condensates
• Narrow-line magneto-optical cooling and trapping of strongly magnetic atoms
• A geometrical approach to the dynamics of spinor condensates II: Collective modes
• A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
• Inert states of spin-S systems
• Anisotropy in the Interaction of Ultracold Dysprosium
• Low energy dynamics of spinor condensates
• Spontaneous Vortex Lattices in Quasi 2D Dipolar Spinor Condensates
• Inert-states of spin-5 and spin-6 Bose-Einstein condensates

Cited by in corpus (29)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Dipolar physics: A review of experiments with magnetic quantum gases
• Introduction to topological quantum computation with non-Abelian anyons
• A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
• Synthetic Gauge Field with Highly Magnetic Lanthanide Atoms
• Dynamical spin-orbit coupling of a quantum gas
• Representation of Berry phase by the trajectories of Majorana stars
• Extremal quantum states
• Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
• Braiding and fusion of non-Abelian vortex anyons
• Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars
• Antiferrosmectic ground state of two-component dipolar Fermi gases -- an analog of meson condensation in nuclear matter
• Quantumness Beyond Entanglement: The Case of Symmetric States
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Quantum Polarimetry
• Can the dipolar interaction suppress dipolar relaxation?
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• Quantum spiral spin-tensor magnetism
• 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
• Robust quantum metrology with random Majorana constellations
• Majorana stellar representation for mixed-spin $(s,\frac{1}{2})$ systems
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Collision dynamics of two-dimensional non-Abelian vortices
• Spin Liquid Condensate of Spinful Bosons
• An inequality for spinor Bose-Einstein condensates
• Spontaneous Spin Textures in Dipolar Spinor Condensates: A Dirac String Gas Approach