论文标题

调整腔中分子系统的量子古典对应关系

Tuning quantum-classical correspondence of molecular systems in a cavity

论文作者

Moiseyev, Nimrod, Sindelka, Milan

论文摘要

我们表明,可以通过改变腔模式与原子或分子之间的耦合强度来调整量子和经典力学之间的对应关系。在加速度量规中,腔体系统由有效的哈密顿量表示,其潜力中出现了非平凡的耦合和重摩术的质量。重要的是,加速轴耦合是非单调的,强度腔体相互作用。结果,可以获得有效的弱和强相互作用的有效脱钩的场 - 结构动力学。在弱耦合方面,有效质量本质上是原始质量。相反,随着相互作用的增加,重新归一化的质量增加。这会导致原子/分子的加速度量规动力学,其原始的哈密顿量和有效的普朗克常数在增加相互作用时会降低。这种方法可能特别是通过改变可控的物理参数来研究与经典混乱的“量子 - chaos”(量子随机性)的对应关系的可能性。简要讨论了我们发现的物理认识。

We show that the correspondence between quantum and classical mechanics can be tuned by varying the coupling strength between the cavity modes and an atom or a molecule. In the acceleration gauge the cavity-matter system is represented by an effective Hamiltonian with a non-trivial coupling appearing in the potential, and a renormaized mass. Importantly, the acceleration-gauge coupling is non-monotonic with the strength cavity-matter interaction. As a result one obtain effective approximately decoupled field-matter dynamics for weak and strong interactions. In the weak coupling regime the effective mass is essentially the original mass. In contrast, the renormalized mass is increased as the interaction is increased. This results in acceleration gauge dynamics of atom/molecule with the original Hamiltonian and effective Planck's constant that is reduced when the interaction is increased. This approach might lead in particular to the possibility of studying the correspondence of "quantum-chaos" (quantum stochasticity) with classical chaos, as well as either enhancement or suppression of tunneling, by varying a controllable physical parameter. Physical realization of our findings is briefly discussed.

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