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Disorder effects in tunable waveguide arrays with parity-symmetric tunneling

机译:具有奇偶对称性的可调谐波导阵列中的无序效应   隧道

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摘要

We investigate the effects of disorder on single particle time-evolution andtwo-particle correlations in an array of evanescently coupled waveguides withposition-dependent tunneling rates. In the clean limit, the energy spectrum ofsuch an array is widely tunable. In the presence of a Hermitian on-site ortunneling disorder, we find that the localization of a wave packet is highlysensitive to this energy spectrum. In particular, for an input confined to asingle waveguide, we show that the fraction of light localized to the originalwaveguide depends on the tunneling profile. We compare the two-particleintensity correlations in the presence of Hermitian, tunneling disorder andnon-Hermitian, parity-and-time-reversal ($\mathcal{PT}$) symmetric, on-sitepotential disorder. We show the two-particle correlation function in both casesis qualitatively similar, since both disorders preserve the particle-holesymmetric nature of the energy spectrum.
机译:我们研究了position散耦合波导阵列中位置依赖的隧穿速率下无序对单粒子时间演化和两粒子相关性的影响。在清洁极限内,这种阵列的能谱是可广泛调节的。在存在Hermitian现场隧道效应的情况下,我们发现波包的定位对此能量谱高度敏感。特别是,对于仅限于单个波导的输入,我们显示出局域在原始波导中的光的比例取决于隧穿轮廓。我们比较了存在埃尔米特,隧道效应和非埃尔米特,奇偶和时间反转($ \ mathcal {PT} $)对称,现场势能障碍时两种粒子强度的相关性。我们显示两种情况下的两粒子相关函数在质量上相似,因为这两种疾病都保留了能谱的粒子孔对称性质。

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