论文标题
通过非铁皮皮肤效应扩增量子信号
Amplification of quantum signals by the non-Hermitian skin effect
论文作者
论文摘要
非铁皮皮肤效应（NHSE）是一种现象，某些非炎症汉密尔顿（Hamiltonians），尤其是那些具有非偏置耦合的汉密尔顿糖（Hamiltonians），可以容纳大量凝结在边界上的征素模量，称为皮肤模式。尽管NHSE主要是在经典制度中研究的，但我们表明它也可以体现在含有玻色子数量非强制过程的量子系统中，这是由统一的参数驾驶引起的。我们研究可以用作相互量子放大器的耦合非线性谐振器的晶格。表现出NHSE的一维链可以在皮肤模式下执行强烈的光子扩增，该链的辅助性与链长的呈指数缩放，并且优于缺乏NHSE的替代晶格构型。我们还表明，由于二维NHSE，二维非线性晶格可以在不同晶格角之间进行定向光子扩增。
The non-Hermitian skin effect (NHSE) is a phenomenon whereby certain non-Hermitian lattice Hamiltonians, particularly those with nonreciprocal couplings, can host an extensive number of eigenmodes condensed to the boundary, called skin modes. Although the NHSE has mostly been studied in the classical regime, we show that it can also manifest in quantum systems containing boson number nonconserving processes arising from uniform parametric driving. We study lattices of coupled nonlinear resonators that can function as reciprocal quantum amplifiers. A one-dimensional chain exhibiting NHSE can perform strong photon amplification, aided by the skin modes, that scales exponentially with the chain length and outperforms alternative lattice configurations that lack the NHSE. We show also that two-dimensional nonlinear lattices can perform directional photon amplification between different lattice corners, due to the two-dimensional NHSE.
