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Explicit definition of $\mathcal{PT}$ symmetry for non-unitary quantum walks with gain and loss

zqyin 添加于 2016-3-21 17:22 | 961 次阅读 | 0 个评论

作者
Mochizuki K, Kim D, Obuse H
摘要
$mathcal{PT}$ symmetry of the time-evolution operator of non-unitary quantum walks is studied motivated by a recent experiment. We present the explicit definition of $mathcal{PT}$ symmetry by employing a concept of symmetry time frame. We provide necessary and sufficient condition so that the time-evolution operator of non-unitary quantum walks retains $mathcal{PT}$ symmetry even when parameters of the model depend on position. It is also shown that there exist extra symmetries embedded in the time-evolution operator. Applying these results, we clarify that the non-unitary quantum walk in the experiment does have $mathcal{PT}$ symmetry.
详细资料
- 关键词: quant-ph; cond-mat.mes-hall; physics.optics
- 文献种类: Manual Script
- 期卷页: 2016年
- 日期: 2016-3-18
- 发布方式: arXiv e-prints
- 备注:arXiv:1603.05820v1; 12 pages, 7 figures
学科领域自然科学 » 物理学
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