Exploring helical phases of matter in bosonic ladders
arXiv:2010.02740 · doi:10.1103/PhysRevResearch.2.043433
Abstract
Ladder models of ultracold atoms offer a versatile platform for the experimental and theoretical study of different phenomena and phases of matter linked to the interplay between artificial gauge fields and interactions. Strongly correlated helical states are known to appear for specific ratios of the particle and magnetic flux densities and they can often be interpreted as a one-dimensional limit of fractional quantum Hall states, thus being called pretopological. Their signatures, however, are typically hard to observe due to the small gaps characterizing these states. Here we investigate bosonic ladder models at filling factor 1. Based on bosonization, renormalization group and matrix product state simulations we pinpoint two strongly correlated helical phases appearing at this resonance. We show that one of them can be accessed in systems with two-species hardcore bosons and on-site repulsions only, thus amenable for optical lattice experiments. Its signatures are sizable and stable over a broad range of parameters for realistic system sizes.
arXiv comment22 pages, 10 figures, replaced with revised version
References in corpus (70)
- Feshbach Resonances in Ultracold Gases
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Bosonization and Strongly Correlated Systems
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- 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 Meissner effect with ultracold atoms in bosonic ladders
- Bosonizing one-dimensional cold atomic gases
- Quantum simulation of an extra dimension
- Bipartite Fluctuations as a Probe of Many-Body Entanglement
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- The Fractional Quantum Hall effect in an array of quantum wires
- From Luttinger liquid to non-Abelian quantum Hall states
- Artificial gauge fields in materials and engineered systems
- Collisions of self-bound quantum droplets
- Chiral Ladders and the Edges of Chern Insulators
- Meissner effect in a bosonic ladder
- Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
- Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
- Intrinsically Gapless Topological Phases
- Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
- Fractional Helical Liquids and Non-Abelian Anyons in Quantum Wires
- Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: Swimming against the tide
- Topological fractional pumping with alkaline-earth(-like) ultracold atoms
- Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Laughlin-like states in bosonic and fermionic atomic synthetic ladders
- Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
- Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
- Spinless Fermionic ladders in a magnetic field: Phase Diagram
- Chiral currents in one-dimensional fractional quantum Hall states
- Feshbach resonances in potassium Bose-Bose mixtures
- Precursor of Laughlin state of hard core bosons on a two leg ladder
- Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
- Entanglement Entropy of Quantum Wire Junctions
- Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
- Persisting Meissner state and incommensurate phases of hard-core boson ladders in a flux
- Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
- Incommensurate phases of a bosonic two-leg ladder under a flux
- Vortex lattice melting in a boson-ladder in artificial gauge field
- Bosonic Fractional Quantum Hall States on a Finite Cylinder
- Universal Hall Response in Synthetic Dimensions
- Quantum Field Theory, Bosonization and Duality on the Half Line
- Imaging topology of Hofstadter ribbons
- Pretopological fractional excitations in the two-leg flux ladder
- Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux
- 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
- The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
- Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
- Many-body entanglement in a topological chiral ladder
- Topological phases in odd-legs frustrated synthetic ladders
- From Topological Superconductivity to Quantum Hall States in Coupled Wires
- Chern and Fu-Kane-Mele invariants as topological obstructions
- The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
- Finite-temperature properties of interacting bosons on a two-leg flux ladder
- Topological Devil's staircase in atomic two-leg ladders
- Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
- On the quantization of the Hall conductivity in the Harper-Hofstadter model
- Spin-gap spectroscopy in a bosonic flux ladder
- Bosonization and Vertex Algebras with Defects
- Quantum phases of two-component bosons on the Harper-Hofstadter ladder
- Fractional topological insulator precursors in spin-orbit fermion ladders
- Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
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- Bose-Hubbard triangular ladder in an artificial gauge field
- Enhancement of chiral edge currents in (+1)-dimensional atomic Mott-band hybrid insulators
- lattice gauge theory in a ladder geometry
- Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders
- Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
- Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
- Cold atoms meet lattice gauge theory
- Ground-state phase diagram of two-component interacting bosons on a two-leg ladder
- Engineering a Josephson junction chain for the simulation of the clock model