通过与中性链的强耦合提高$\mathcal{PT}$转变阈值
Raising the $\mathcal{PT}$ transition threshold by strong coupling to neutral chains
摘要：
在增益和损耗平衡的系统的离散实现中，$\mathcal{PT}$对称性破缺阈值由增益和损耗位置之间的有效耦合决定。在一维链中，当两个位点彼此最接近或最远时，该阈值最大。我们调查的命运，这个阈值中存在的平行，强耦合，厄米（中性）链，并发现它是增加了一个因素的数量成正比的中性链。我们提出的数值结果和分析参数，这种增强。然后，我们考虑添加中性位点的影响，$\mathcal{PT}$对称的二聚体和三聚体的配置，并显示阈值是两倍以上，或三倍，他们的存在。我们的研究结果提供了一个令人惊讶的方式来工程的$\mathcal{PT}$阈值在实验上可访问的样品。
英文摘要：
The $\mathcal{PT}$ symmetry breaking threshold in discrete realizations of systems with balanced gain and loss is determined by the effective coupling between the gain and loss sites. In one dimensional chains, this threshold is maximum when the two sites are closest to each other or the farthest. We investigate the fate of this threshold in the presence of parallel, strongly coupled, Hermitian (neutral) chains, and find that it is increased by a factor proportional to the number of neutral chains. We present numerical results and analytical arguments for this enhancement. We then consider the effects of adding neutral sites to $\mathcal{PT}$ symmetric dimer and trimer configurations and show that the threshold is more than doubled, or tripled by their presence. Our results provide a surprising way to engineer the $\mathcal{PT}$ threshold in experimentally accessible samples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
