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 (1)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

Cited by in corpus (17)

• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Mixtures of strongly interacting bosons in optical lattices
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices
• 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
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices
• 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
• Unconventional quantum phases of lattice bosonic mixtures
• Coupled two-component atomic gas in an optical lattice
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Ground-states of spin-1 bosons in asymmetric double-wells
• Two-component Bose-Hubbard model in an array of cavity polaritons
• Two-state Bose-Hubbard model in the hard-core boson limit
• Bosonic realization of SU(3) chiral Haldane phases