Mott-Superfluid Transition for Spin-Orbit Coupled Bosons in One-Dimensional Optical Lattices

Abstract

We study the effects of spin-orbit coupling on the Mott-superfluid transition of bosons in a one-dimensional optical lattice. We determine the strong coupling magnetic phase diagram by a combination of exact analytic and numerical means. Smooth evolution of the magnetic structure into the superfluid phases are investigated with the density matrix renormalization group technique. Novel magnetic phases are uncovered and phase transitions between them within the superfluid regime are discussed. Possible experimental detection are discussed.

5 pages, 4 figures

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• Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: a Density Matrix Renormalization Group study
• Incommensurate phases of a bosonic two-leg ladder under a flux
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• Thermal Phase Transitions of Strongly Correlated Bosons with Spin-Orbit Coupling
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• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
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• Tunable-spin-model generation with spin-orbit-coupled fermions in optical lattices
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
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• Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
• Analytical results for the unusual Grüneisen ratio in the quantum Ising model with Dzyaloshinskii-Moriya interaction
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
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• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Optical Lattice Modulation Spectroscopy for Spin-orbit Coupled Bosons
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• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion