Chaos-Assisted Long-Range Tunneling for Quantum Simulation

TL;DR

This paper extends chaos-assisted tunneling to periodic lattice systems, enabling long-range interactions that facilitate quantum simulations of complex condensed matter models.

Contribution

It introduces a method to induce chaos-assisted long-range hoppings in lattice systems via intermediate regime modulation, supported by numerical and analytical results.

Findings

Long-range hoppings decay as 1/n with distance n.

The method is robust across different system parameters.

Potential applications in quantum simulation of long-range condensed matter models.

Abstract

We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians with chaos-induced long-range hoppings $t_n \propto 1/n$ between sites at a distance $n$. We provide a numerical demonstration of the robustness of the results and derive an analytical prediction for the hopping term law. Such systems can thus be used to enlarge the scope of quantum simulations to experimentally realize long-range models of condensed matter.