Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
arXiv:2003.04154 · doi:10.1140/epjd/e2020-10129-1
Abstract
Light-induced spin-orbit coupling is a flexible tool to study quantum magnetism with ultracold atoms. In this work we show that spin-orbit coupled Bose gases in a one-dimensional optical lattice can be mapped into a two-leg triangular ladder with staggered flux following a lowest-band truncation of the Hamiltonian. The effective flux and the ratio of the tunneling strengths can be independently adjusted to a wide range of values. We identify a certain regime of parameters where a hard-core boson approximation holds and the system realizes a frustrated triangular spin ladder with tunable flux. We study the properties of the effective spin Hamiltonian using the density-matrix renormalization-group method and determine the phase diagram at half-filling. It displays two phases: a uniform superfluid and a bond-ordered insulator. The latter can be stabilized only for low Raman detuning. Finally, we provide experimentally feasible trajectories across the parameter space of the SOC system that cross the predicted phase transition.
12 pages, 6 figures
References in corpus (79)
- Many-Body Physics with Ultracold Gases
- A spin-orbit coupled Bose-Einstein condensate
- Artificial gauge potentials for neutral atoms
- "Deconfined" quantum critical points
- Synthetic magnetic fields for ultracold neutral atoms
- Light-induced gauge fields for ultracold atoms
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Self-bound quantum droplets in atomic mixtures
- Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
- Direct Observation of Second Order Atom Tunnelling
- Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Observation of a dipolar quantum gas with metastable supersolid properties
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Topological quantum matter in synthetic dimensions
- Photonic Topological Insulator in Synthetic Dimensions
- Supersolid hardcore bosons on the triangular lattice
- A lattice of double wells for manipulating pairs of cold atoms
- Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
- Quantum simulation of an extra dimension
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
- Ultracold quantum gases in triangular optical lattices
- Direct observation of chiral currents and magnetic reflection in atomic flux lattices
- Meissner effect in a bosonic ladder
- Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
- Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
- Itinerant magnetism in spin-orbit coupled Bose gases
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Synthetic partial waves in ultracold atomic collisions
- High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
- Bosonic Mott Insulator with Meissner Currents
- Simulating an interacting gauge theory with ultracold Bose gases
- Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
- Magnetic crystals and helical liquids in alkaline-earth fermionic gases
- Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
- Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
- Periodically-dressed Bose-Einstein condensates: a superfluid with an anisotropic and variable critical velocity
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Semi-synthetic zigzag optical lattice for ultracold bosons
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Chiral currents in one-dimensional fractional quantum Hall states
- Precursor of Laughlin state of hard core bosons on a two leg ladder
- Phase diagram of the half-filled one-dimensional t-V-V' model
- Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
- Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
- Bose-Einstein condensation with spin-orbit coupling
- Realization of a fractional period adiabatic superlattice
- Synthetic clock transitions via continuous dynamical decoupling
- Phases and phase transitions of frustrated hard-core bosons on a triangular ladder
- Universal Hall Response in Synthetic Dimensions
- Different lattice geometries with synthetic dimension
- Modified spin-wave theory with ordering vector optimization I: frustrated bosons on the spatially anisotropic triangular lattice
- Imaging topology of Hofstadter ribbons
- Pretopological fractional excitations in the two-leg flux ladder
- Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
- Phases of Attractive Fermi Gases in Synthetic Dimensions
- Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
- Supersolid in a one-dimensional model of hard-core bosons
- Rashba realization: Raman with RF
- Measuring Chern numbers in Hofstadter strips
- Continuously observing a dynamically decoupled spin-1 quantum gas
- Field-induced superconductor to insulator transition in Josephson-junction ladders
- The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
- Modified spin-wave theory and spin liquid behavior of cold bosons on an inhomogeneous triangular lattice
- Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
- Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
- Interacting bosons in generalized zig-zag and railroad-trestle models
- Coherent spin mixing via spin-orbit coupling in Bose gases
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- Bose-Hubbard triangular ladder in an artificial gauge field
- Frustrated magnets without geometrical frustration in bosonic flux ladders
- Recent progress on quantum simulations of non-standard Bose-Hubbard models
- Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
- Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
- Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings
- Deconfined quantum criticality of frustrated hard-core dipolar bosons
- Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
- Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
- Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
- Geometrical frustration, power law tunneling and non-local gauge fields from scattered light