论文标题

量子zeno-anti zeno效应和平均时间对称破坏过渡的统一

Unification of quantum Zeno-anti Zeno effects and parity-time symmetry breaking transitions

论文作者

Li, Jiaming, Wang, Tishuo, Luo, Le, Vemuri, Sreya, Joglekar, Yogesh N

论文摘要

通过精心量身定制的测量值(称为量子Zeno效应(QZE)或抗Zeno效应(Qaze)),可以抑制或增强任何不稳定量子状态的衰减。迄今为止,对QZE(Qaze)过渡的研究已扩展到各种系统 - 环境耦合,其中不仅可以通过投射测量,而且通过耗散过程来抑制时间演化(增强)。但是,仍然缺乏可能扩展到任意耗散强度和周期性的一般标准。在这封信中,我们展示了一个通用框架,以统一QZE-qaze效果和平均时间(PT)对称性断裂过渡,其中与测量效应相关的耗散汉密尔顿式的杂物映射到PT-对称非对称的非遗传性Hermitian Hamiltonian上,从而采用了PT对称性过渡以区分QZE(QZE)及其交叉行为。作为一个具体的例子,我们表明,在定期耦合到耗散环境的两级系统中,QZE始于特殊点(EP),该点分隔了PT-对称(PTS)相和PT对称性损坏(PTB)相位,并在重置点(RP)(RP)的最大PT PT-PT-Mettrymetmetrymetrymemptry损坏损坏;尽管Qaze扩展了PTB阶段的其余部分,并且仍然是整个PTS相。此类发现揭示了非铁量量子动力学中QZE-QAZE和PTS-PTB相之间的隐藏关系。

The decay of any unstable quantum state can be inhibited or enhanced by carefully tailored measurements, known as the quantum Zeno effect (QZE) or anti-Zeno effect (QAZE). To date, studies of QZE (QAZE) transitions have since expanded to various system-environment coupling, in which the time evolution can be suppressed (enhanced) not only by projective measurement but also through dissipation processes. However, a general criterion, which could extend to arbitrary dissipation strength and periodicity, is still lacking. In this letter, we show a general framework to unify QZE-QAZE effects and parity-time (PT) symmetry breaking transitions, in which the dissipative Hamiltonian associated to the measurement effect is mapped onto a PT-symmetric non- Hermitian Hamiltonian, thus applying the PT symmetry transitions to distinguish QZE (QAZE) and their crossover behavior. As a concrete example, we show that, in a two-level system periodically coupled to a dissipative environment, QZE starts at an exceptional point (EP), which separates the PT-symmetric (PTS) phase and PT-symmetry broken (PTB) phase, and ends at the resonance point (RP) of the maximum PT-symmetry breaking; while QAZE extends the rest of PTB phase and remains the whole PTS phase. Such findings reveal a hidden relation between QZE-QAZE and PTS-PTB phases in non-Hermitian quantum dynamics.

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