Work statistics in non-Hermitian evolutions with Hermitian endpoints,Physical Review E

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Work statistics in non-Hermitian evolutions with Hermitian endpoints
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-07 , DOI: 10.1103/physreve.104.034107
Zheng-Yang Zhou _{1,

2} , Ze-Liang Xiang ₃ , J Q You _{2,

4} , Franco Nori _{1,

5,

6}

Affiliation

Non-Hermitian systems with specific forms of Hamiltonians can exhibit novel phenomena. However, it is difficult to study their quantum thermodynamical properties. In particular, the calculation of work statistics can be challenging in non-Hermitian systems due to the change of state norm. To tackle this problem, we modify the two-point measurement method in Hermitian systems. The modified method can be applied to non-Hermitian systems which are Hermitian before and after the evolution. In Hermitian systems, our method is equivalent to the two-point measurement method. When the system is non-Hermitian, our results represent a projection of the statistics in a larger Hermitian system. As an example, we calculate the work statistics in a non-Hermitian Su-Schrieffer-Heeger model. Our results reveal several differences between the work statistics in non-Hermitian systems and the one in Hermitian systems.

中文翻译：

具有 Hermitian 端点的非 Hermitian 演化中的工作统计

具有特定形式的哈密顿量的非厄米系统可以表现出新的现象。然而，很难研究它们的量子热力学性质。特别是，由于状态规范的变化，非厄米系统中工作统计的计算可能具有挑战性。为了解决这个问题，我们修改了 Hermitian 系统中的两点测量方法。改进后的方法可以应用于进化前后都是厄米的非厄米系统。在 Hermitian 系统中，我们的方法等效于两点测量方法。当系统是非 Hermitian 时，我们的结果代表了更大 Hermitian 系统中统计数据的投影。例如，我们在非 Hermitian Su-Schrieffer-Heeger 模型中计算工作统计量。

更新日期：2021-09-07

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