Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux

Abstract

Two-leg bosonic ladders with flux harbor a remarkable vortex-hole duality between the weak-coupling vortex lattice superfluids and strong-coupling charge-density-wave crystals. The strong-coupling crystalline states, which are realized in the vicinity of $\pi$-flux, are independent of particle statistics, and are related with the incompressible fractional quantum Hall states in the thin-cylinder limit. These fully gapped ground states, away of $\pi$-flux, develop nonzero chiral (spin) currents. Contact-interacting quantum gases permit exploration of this vortex-hole duality in experiments.

11 pages, 15 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• A one-dimensional liquid of fermions with tunable spin
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• 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
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Microscopic theory of the quantum Hall hierarchy
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Devil's staircases in synthetic dimensions and gauge fields

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• Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
• Phase transitions in the ${\mathbb{Z}}_p$ and U(1) clock models
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
• Snapshot based characterization of particle currents and the Hall response in synthetic flux lattices
• Mesoscopic Vortex-Meissner currents in ring ladders
• Probing the Hall Voltage in Synthetic Quantum Systems
• Synthetic gauge field and chiral physics on two-leg superconducting circuits
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
• Exploring helical phases of matter in bosonic ladders
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
• Quantum Computing with sine-Gordon Qubits