Spin-1 bosons with coupled ground states in optical lattices

Abstract

The superfluid--Mott-insulator phase transition of ultracold spin-1 bosons with ferromagnetic and antiferromagnetic interactions in an optical lattice is theoretically investigated. Two counterpropagating linearly polarized laser beams with the angle $\theta$ between the polarization vectors (lin-$\theta$-lin configuration), driving an $F_g=1$ to $F_e=1$ internal atomic transition, create the optical lattice and at the same time couple atomic ground states with magnetic quantum numbers $m=\pm 1$. Due to the coupling the system can be described as a two-component one. At $\theta =0$ the system has a continuous isospin symmetry, which can be spontaneously broken, thereby fixing the number of particles in the atomic components. The phase diagram of the system and the spectrum of collective excitations, which are density waves and isospin waves, are worked out. In the case of ferromagnetic interactions, the superfluid--Mott-insulator phase transition is always second order, but in the case of antiferromagnetic interactions for some values of system parameters it is first order and the superfluid and Mott phases can coexist. Varying the angle $\theta$ one can control the populations of atomic components and continuously turn on and tune their asymmetry.

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Spinor Bose Condensates in Optical Traps
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Quantum phases in an optical lattice
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Dimer state of spin-1 Bosons in an optical lattice
• Bogoliubov approach to superfluidity of atoms in an optical lattice
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice
• Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field
• Interference of atomic levels and superfluid -- Mott insulator phase transition in a two-component Bose-Einstein condensate
• Spin-one bosons in low dimensional Mott insulating states

Cited by in corpus (44)

• Ultracold bosons with short-range interaction in regular optical lattices
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Mixtures of strongly interacting bosons in optical lattices
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Coherence-enhanced imaging of a degenerate Bose gas
• First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Interacting spin-1 bosons in a two-dimensional optical lattice
• Mott insulator to superfluid transition of ultracold bosons in an optical lattice near a Feshbach resonance
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice
• Bose-Einstein condensation and critical behavior of two-component bosonic gases
• Gutzwiller study of extended Hubbard models with fixed boson densities
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Unconventional quantum phases of lattice bosonic mixtures
• Coupled two-component atomic gas in an optical lattice
• Finite temperature phase diagram of spin-1/2 bosons in two-dimensional optical lattice
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• Two-component Bose-Hubbard model in an array of cavity polaritons
• Ground-states of spin-1 bosons in asymmetric double-wells
• Two-state Bose-Hubbard model in the hard-core boson limit
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Dynamical instability in the S=1 Bose-Hubbard model
• Isentropes of spin-1 bosons in an optical lattice
• Competing exotic quantum phases of spin-$1/2$ ultra-cold lattice bosons with extended spin interactions
• Spin-1 Quantum Walks
• Disordered cold atoms in different symmetry classes
• Dynamical quantum phase transition of a two-component Bose-Einstein condensate in an optical lattice
• Quantum entanglement of spin-1 bosons with coupled ground states in optical lattices
• Strong-coupling study of spin-1 bosons in square and triangular optical lattice
• Bosonic realization of SU(3) chiral Haldane phases
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates
• Bose-Einstein condensation and/or modulation of "displacements" in the two-state Bose-Hubbard model