Composite fermion state of spin-orbit coupled bosons

Abstract

We consider spinor Bose gas with the isotropic Rashba spin-orbit coupling in 2D. We argue that at low density its groundstate is a composite fermion state with a Chern-Simons gauge field and filling factor one. The chemical potential of such a state scales with the density as μ\propto n^{3/2}. This is a lower energy per particle than μ\propto n for the earlier suggested groundstate candidates: a condensate with broken time-reversal symmetry and a spin density wave state.

15 pages, 7 figures, Revtex

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Cited by in corpus (61)

• Light-induced gauge fields for ultracold atoms
• Spin-orbit coupling in quantum gases
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Realization of an anomalous Floquet topological system with ultracold atoms
• Magnetically generated spin-orbit coupling for ultracold atoms
• Experimental Determination of the Finite-Temperature Phase Diagram of a Spin-Orbit Coupled Bose Gas
• Direct observation of zitterbewegung in a Bose-Einstein condensate
• Quantum quasicrystals of spin-orbit coupled dipolar bosons
• Meron Ground State of Rashba Spin-Orbit-Coupled Dipolar Bosons
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Excitonic topological order in imbalanced electron-hole bilayers
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Absence of Bose condensation on lattices with moat bands
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Statistical transmutation in Floquet driven optical lattices
• 2D spin-orbit coupling for ultracold atoms in optical lattices
• Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission
• Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling
• Metallic state in bosonic systems with continuously degenerate minima
• Rashba realization: Raman with RF
• Ferromagnetic and Nematic Non-Fermi Liquids in Spin-Orbit Coupled Two-Dimensional Fermi Gases
• Fermionization of Bosons in a Flat Band
• Topological spin ordering via Chern-Simons superconductivity
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
• Spin-Orbit Coupled One-Dimensional Fermi Gases with Infinite Repulsion
• Interlayer excitons with tunable dispersion relation
• Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
• Antiferromagnetic magnons from fractionalized excitations
• Multicriticality, Metastability, and Roton Feature in Bose-Einstein Condensates with Three-Dimensional Spin-Orbit Coupling
• Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice
• Chiral spin liquid state of strongly interacting bosons with a moat dispersion: a Monte Carlo simulation
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• Is the composite fermion state of Graphene a doped Chern insulator?
• Strong correlation effects in a two-dimensional Bose gas with quartic dispersion
• Electronic Floquet Liquid Crystals
• Quantum criticality of bosonic systems with the Lifshitz dispersion
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Particle Statistics, Frustration, and Ground-State Energy
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• $Z_3$ and $(\times Z_3{)}^3$ symmetry protected topological paramagnets
• Spontaneous ferromagnetism in the spinor Bose gas with Rashba spin-orbit coupling
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
• Vortex states in a non-Abelian magnetic field
• Unveiling chiral states in the XXZ chain: Finite-size scaling probing symmetry-enriched $c=1$ conformal field theories
• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• Phases and phase transitions of Bose condensed light
• Non-Galilean response of Rashba coupled Fermi gases
• Wavefunction Vortex Attachment via Matrix Products: Application to Atomic Fermi Gases in Flat Spin-Orbit Bands
• Symmetry induced pairing in dark excitonic condensate at finite temperature
• Chiral vortex-line liquid of three-dimensional interacting Bose systems with moat dispersion
• Two-dimensional topological paramagnets protected by ${\mathbb{Z}}_3$ symmetry: Properties of the boundary Hamiltonian
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Ground-state properties of dilute Bose systems with synthetic dispersion laws
• Correlated phases of moat-band excitons in two dimensions
• Orbital ferromagnetism in interacting few-electron dots with strong spin-orbit coupling