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Chaos-Assisted Long-Range Tunneling for Quantum Simulation
arXiv
Authors: Maxime Martinez, Olivier Giraud, Denis Ullmo, Juliette Billy, David Guéry-Odelin, Bertrand Georgeot, Gabriel Lemarié
Year
2020
Paper ID
6972
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
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 tn 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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems.
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