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.

Highlights

  • Manifestation of topology in physics [1, 2] created a revolution which is continuing for almost four decades

  • We argue that these dynamics can be realized, for instance, in many-body cavity quantum electrodynamics (CQED) setups [32,33,34,35,36,37], like the one illustrated in Fig. 1 highlighting the experimental feasibility of our proposal

  • The Bond Insulator (BI) phase of this model is a reentrant phase. It separates the SF phase, where correlated hopping is suppressed by quantum fluctuations, from the Bond Superfluid phase (BSF) phase, where correlated tunneling is dominant and single-particle tunneling establishes correlations between the bonds

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Summary

Introduction

Manifestation of topology in physics [1, 2] created a revolution which is continuing for almost four decades. Differing from previous realizations, here the interference between quantum fluctuations and global interactions is essential for the onset of the topological phase and cannot be understood in terms of a mean-field model. We argue that these dynamics can be realized, for instance, in many-body cavity quantum electrodynamics (CQED) setups [32,33,34,35,36,37], like the one illustrated in Fig. 1 highlighting the experimental feasibility of our proposal. At sufficiently large values of |U1/U | and t/U the transition is discontinuous, and it separates

10 OBMF 0
Discussion
A Coefficients of the extended BoseHubbard model
B Numerical implementation 10

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