Chaos-Assisted Long-Range Tunneling for Quantum Simulation

• URL: http://arxiv.org/abs/2011.02557v3
• Date: Thu, 6 May 2021 12:41:58 GMT
• Title: Chaos-Assisted Long-Range Tunneling for Quantum Simulation
• Authors: Maxime Martinez, Olivier Giraud, Denis Ullmo, Juliette Billy, David Gu\'ery-Odelin, Bertrand Georgeot, Gabriel Lemari\'e
• Abstract summary: 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. Such systems can thus be used to enlarge the scope of quantum simulations to experimentally realize long-range models of condensed matter.
• Score: 22.197954380539915
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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