论文标题

混乱辅助远程隧道进行量子模拟

Chaos-Assisted Long-Range Tunneling for Quantum Simulation

论文作者

Martinez, Maxime, Giraud, Olivier, Ullmo, Denis, Billy, Juliette, Guéry-Odelin, David, Georgeot, Bertrand, Lemarié, Gabriel

论文摘要

我们将混乱辅助的隧道机理扩展到空间周期性的晶格系统。我们证明,在调制的中间制度中驾驶此类晶格系统将其映射到结合结合的汉密尔顿人,并用混乱引起的长距离跳跃$ t_n \ propto 1/n $之间的距离$ n $ $ n $。我们提供了结果的鲁棒性的数值证明,并获得了跳跃术语定律的分析预测。因此,这些系统可用于扩大量子模拟的范围,以实验实现凝结物质的长期模型。

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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