Quantum phases of two-component bosons on the Harper-Hofstadter ladder

Abstract

We study two-component bosons on the Harper-Hofstadter model with two legs. The synthetic magnetic fields for the two types of bosons point to either the same direction or opposite directions. The bosons have hardcore intra-species interaction such that there can be no more than one boson of the same type on each lattice site. For certain filling factors in the absence of inter-species interaction, each component realizes a vortex Mott insulator with rung current or a Meissner superfluid without rung current. The system undergoes phase transitions to other phases as inter-species interaction is turned on, which are characterized numerically using the density matrix renormalization group method and supplemented with analytical studies when possible. The vortex Mott insulator transits to a gapped Meissner phase without rung current and the Meissner superfluid transits to a gapped vortex phase with rung current. In both cases, we observe gapped spin density wave states that break certain ${\mathbb{Z}}_2$ symmetries.

11 pages, 10 figures

References in corpus (16)

• The density-matrix renormalization group in the age of matrix product states
• Topological Photonics
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Matrix product states represent ground states faithfully
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Entropy and Entanglement in Quantum Ground States
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• 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
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• Adiabatic continuity between Hofstadter and Chern insulator states
• Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
• Charge excitation dynamics in bosonic fractional Chern insulators
• Bosonic Fractional Quantum Hall States on a Finite Cylinder
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field

Cited by in corpus (4)

• Exploring helical phases of matter in bosonic ladders
• Long-Range Four-body Interactions in Structured Nonlinear Photonic Waveguides
• Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
• Ground-state phase diagram of two-component interacting bosons on a two-leg ladder