Exploring helical phases of matter in bosonic ladders

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.

22 pages, 10 figures, replaced with revised version

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Cited by in corpus (9)

• Bose-Hubbard triangular ladder in an artificial gauge field
• Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators
• ${\mathbb{Z}}_N$ 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