Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices

Abstract

Ultracold bosons in optical lattices are one of the few systems where bosonic matter is known to exhibit strong correlations. Here we push the frontier of our understanding of interacting bosons in optical lattices by adding synthetic spin-orbit coupling, and show that new kinds of density- and chiral-orders develop. The competition between the optical lattice period and the spin-orbit coupling length -- which can be made comparable in experiments -- along with the spin hybridization induced by a transverse field (i.e., Rabi coupling) and interparticle interactions create a rich variety of quantum phases including uniform, non-uniform and phase-separated superfluids, as well as Mott insulators. The spontaneous symmetry breaking phenomena at the transitions between them are explained by a two-order-parameter Ginzburg-Landau model with multiparticle umklapp processes. Finally, in order to characterize each phase, we calculated their experimentally measurable crystal momentum distributions.

6+9 pages, 4 figures

References in corpus (33)

• Topological Insulators
• Topological insulators and superconductors
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A spin-orbit coupled Bose-Einstein condensate
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Spin-orbit coupling in quantum gases
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Unconventional Bose-Einstein condensations from spin-orbit coupling
• Spin-Orbit Coupled Quantum Gases
• Superstripes and the excitation spectrum of a spin-orbit-coupled Bose-Einstein condensate
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Magnetically generated spin-orbit coupling for ultracold atoms
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Meissner effect in a bosonic ladder
• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
• Searching for a Supersolid in Cold Atom Optical Lattices
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Periodically-dressed Bose-Einstein condensates: a superfluid with an anisotropic and variable critical velocity
• Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Quantum phase transitions of two-species bosons in square lattice
• Optical-lattice-assisted magnetic phase transition in a spin-orbit-coupled Bose-Einstein condensate
• Multicriticality, Metastability, and Roton Feature in Bose-Einstein Condensates with Three-Dimensional Spin-Orbit Coupling

Cited by in corpus (10)

• Coherently Coupled Mixtures of Bose-Einstein Condensed Gases
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Spin exchange-induced spin-orbit coupling in a superuid mixture
• Spin-orbit coupled bosons interacting in a two-dimensional harmonic trap
• Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions
• Nematic-orbit coupling and nematic density waves in spin-1 condensates
• ${\mathbb{Z}}_n$ symmetry broken supersolid in spin-orbit-coupled Bose-Einstein condensates
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Supersolid Devil's Staircases of Spin-Orbit-Coupled Bosons in Optical Lattices
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures