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Chaos-Assisted Long-Range Tunneling for Quantum Simulation
Maxime Martinez1, Olivier Giraud2, Denis Ullmo2
1Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062 Toulouse France.
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}∝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.
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