Quantum fluctuation-induced uniaxial and biaxial spin nematics

Abstract

It is shown that zero point quantum fluctuations (ZPQFs) completely lift the accidental continuous degeneracy that is found in mean field analysis of quantum spin nematic phases of hyperfine spin 2 cold atoms. The result is two distinct ground states which have higher symmetries: a uniaxial spin nematic and a biaxial spin nematic with dihedral symmetry ${Dih}_4$. There is a novel first order quantum phase transition between the two phases as atomic scattering lengths are varied. We find that the ground state of ${}^{87}Rb$ atoms should be a uniaxial spin nematic. We note that the energy barrier between the phases could be observable in dynamical experiments.

4 pages, 2 figures included; published version

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• Bose-Einstein condensation of chromium
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Cited by in corpus (45)

• Spinor Bose-Einstein condensates
• Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
• Order by Disorder in Spin-Orbit Coupled Bose-Einstein Condensates
• Symmetry Classification of Spinor Bose-Einstein Condensates
• 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
• Inert states of spin-S systems
• Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Low energy dynamics of spinor condensates
• Abe homotopy classification of topological excitations under the topological influence of vortices
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Three-dimensional skyrmions in spin-2 Bose-Einstein condensates
• Laser Cooling of Transition Metal Atoms
• Massless collective excitations in frustrated multi-band superconductors
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Quantum rotor theory of spinor condensates in tight traps
• Half-quantized Non-Abelian Vortices in Neutron ${}^3{P}_2$ Superfluids inside Magnetars
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates
• Orientational order parameters for arbitrary quantum systems
• Spin Josephson vortices in two tunnel coupled spinor Bose gases
• Polar Phase of 1D Bosons with Large Spin
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Tunable Quantum Fluctuation-Controlled Coherent Spin Dynamics
• Phase Diagrams for Spin-1 Bosons in an Optical Lattice
• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
• Topological influence and back-action between topological excitations
• One-dimensional purely Lee-Huang-Yang fluids dominated by quantum fluctuations in two-component Bose-Einstein condensates
• Quantum Mass Acquisition in Spinor Bose-Einstein Condensates
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Spin liquid phases of Mott insulating ultracold bosons
• Two-dimensional Schrödinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes
• Correlated spontaneous symmetry breaking induced by zero-point fluctuations in a quantum mixture
• Tricritical physics in two-dimensional $p$-wave superfluids
• Quantum Rotor Theory of Systems of Spin-2 Bosons
• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
• Intertwined Superfluid and Density Wave Order in a $p$-Orbital Bose Condensate
• An inequality for spinor Bose-Einstein condensates
• Thermal effects on the spin domain phases of high spin-f Bose-Einstein condensates with rotational symmetries