Quantum Hall correlations in tilted extended Bose-Hubbard chains

TL;DR

This paper explores how a tilted extended Bose-Hubbard chain can host fractional quantum Hall states, revealing new emergent phenomena through analytical and numerical methods.

Contribution

It demonstrates the emergence of FQH correlations in a one-dimensional tilted Bose-Hubbard model, connecting quenched kinetic energy to topological quantum states.

Findings

Identification of FQH correlations via exact diagonalization and DMRG

Mapping of the tilted eBHM to a model generating FQH states

Analysis of energy and entanglement properties confirming FQH features

Abstract

We demonstrate characteristics of a bosonic fractional quantum Hall (FQH) state in a one-dimensional extended Bose-Hubbard model (eBHM) with a static tilt. In the large tilt limit, quenched kinetic energy leads to emergent dipole moment conservation, enabling mapping to a model generating FQH states. Using exact diagonalization, density matrix renormalization group, and an analytical transfer matrix approach, we analyze energy and entanglement properties to reveal FQH correlations. Our findings set the stage for the use of quenched kinetics in simple time-reversal invariant eBHMs to explore emergent phenomena.