Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field

Abstract

We study the Mott phases and the superfluid-insulator transition of two-component ultracold bosons on a square optical lattice in the presence of a non-Abelian synthetic gauge field, which renders a SU(2) hopping matrix for the bosons. Using a resummed hopping expansion, we calculate the excitation spectra in the Mott insulating phases and demonstrate that the superfluid-insulator phase boundary displays a non-monotonic dependence on the gauge field strength. We also compute the momentum distribution of the bosons in the presence of the non-Abelian field and show that they develop peaks at non-zero momenta as the superfluid-insulator transition point is approached from the Mott side. Finally, we study the superfluid phases near the transition and discuss the induced spatial pattern of the superfluid density due to the presence of the non-Abelian gauge potential.

10 pages, 9 figures

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Cited by in corpus (46)

• Light-induced gauge fields for ultracold atoms
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Spin-Orbit Coupled Quantum Gases
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Unconventional states of bosons with synthetic spin-orbit coupling
• Complex density wave orders and quantum phase transitions in a model of square-lattice Rydberg atom arrays
• Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study
• Mott-Superfluid Transition for Spin-Orbit Coupled Bosons in One-Dimensional Optical Lattices
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• 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
• Superfluid-Insulator transition of two-species bosons with spin-orbit coupling
• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Enhanced stripe phases in spin-orbit-coupled Bose-Einstein condensates in ring cavities
• Spin-orbit Coupling Effects on the Superfluidity of Fermi Gas in an Optical Lattice
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Spin-orbit coupled Bose-Einstein condensates in a double well
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Spin-orbit Coupling in Optical lattices
• Bose-Bose Mixtures with Synthetic Spin-Orbit Coupling in Optical Lattices
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
• Fractional quantum Hall states of a Bose gas with spin-orbit coupling
• Quantum magnetism of ultracold atoms with a dynamical pseudospin degree of freedom
• Bosons with incommensurate potential and spin-orbit coupling
• Spectral Gaps of Spin-orbit Coupled Particles in Deformed Traps
• Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
• Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Bloch bound state of spin-orbit-coupled fermions in an optical lattice
• Competing interactions in population-imbalanced two-component Bose-Einstein condensates
• Effect of spin-orbit interaction on the critical temperature of an ideal Bose gas
• Optical Lattice Modulation Spectroscopy for Spin-orbit Coupled Bosons
• Cold atoms in U(3) gauge potentials
• Study of unconventional superfluid phases and the phase dynamics in spin-orbit coupled bose system
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array
• Manipulating Goldstone modes via the superradiant light in a bosonic lattice gas inside a cavity
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures