Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states

Abstract

Identifying topological phases in strongly interacting many-body systems is a very challenging task, especially beyond fine-tuned exactly solvable models. The construction of topological phases from coupled quantum wires provides a controllable and systematic theoretical handle to those interactions. The authors show an explicit connection between the coupled wire construction and a lattice Hamiltonian of interacting bosons, which host a $U$(1) symmetry-protected topological phase (also referred to as the bosonic integer quantum Hall state).