Self-organized topological insulator due to cavity-mediated correlated tunneling

TL;DR

This paper introduces a new topological insulator phase emerging from quantum interference in a cavity-mediated bosonic system, which cannot be captured by mean-field theories and can be realized experimentally.

Contribution

It demonstrates a novel topological phase arising from interactions and quantum interference, validated by exact calculations and relevant for cavity QED experiments.

Findings

Emergence of a topological insulator phase due to correlated tunneling.

Failure of mean-field approaches to capture the phase.

Potential realization in cavity QED systems.

Abstract

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is instead only partially understood how interactions affect topological properties. Here, we discuss a model where topology emerges from the quantum interference between single-particle dynamics and global interactions. The system is composed by soft-core bosons that interact via global correlated hopping in a one-dimensional lattice. The onset of quantum interference leads to spontaneous breaking of the lattice translational symmetry, the corresponding phase resembles nontrivial states of the celebrated Su-Schriefer-Heeger model. Like the fermionic Peierls instability, the emerging quantum phase is a topological insulator and is found at half fillings. Originating from quantum interference, this topological phase is found in "exact" density-matrix renormalization group calculations and is entirely absent in the mean-field approach. We argue that these dynamics can be realized in existing experimental platforms, such as cavity quantum electrodynamics setups, where the topological features can be revealed in the light emitted by the resonator.