论文标题

转向回流限制的不同路线

Different routes to the classical limit of backflow

论文作者

Mousavi, S. V., Miret-Artes, S.

论文摘要

消毒是开放量子系统中经典力学出现的一个完善的过程。但是,根据人们正在考虑的动态,它可以具有两种不同的起源或机制,然后谈论由于开放系统的耗散/波动而导致的隔离系统的内在反谐和。无法考虑回流的第二种机制,因为在形式主义中不得添加热波动术语,以确保对这种效果的重要要求:仅应维持正时段的贡献。这项工作的目的是根据潜在的固有的反矫正和耗散动力来分析回流效应。对于这个目标,我们首先处理了米尔本方法,在该方法中,假定统一进化步骤的平均频率被假定为系统。比较分析是根据Lindblad Master方程进行的。其次,从线性缩放的schrödinger方程分析了所谓的量子到经典的过渡波方程,该方程是根据从量子到经典制度的连续参数以及所有介于动态的非古典制度之间得出和表达的。这种理论分析的灵感来自温德策尔 - 克拉默 - 布林近似。第三,为了完成我们的分析,过渡波方程形式主义也用于在Caldirola-kanai方法中的耗散回流中,在这些方法中,耗散动力学来自有效的哈密顿量。在此处处理过的所有情况下,随着内在的脱碳过程正在发展,回流逐渐被抑制,从而特别注意经典限制。通往古典的途径不是唯一的。

Decoherence is a well established process for the emergence of classical mechanics in open quantum systems. However, it can have two different origins or mechanisms depending on the dynamics one is considering, speaking then about intrinsic decoherence for isolated systems and environmental decoherence due to dissipation/fluctuations for open systems. This second mechanism can not be considered for backflow since no thermal fluctuation terms can be added in the formalism in order to keep an important requirement for the occurrence of this effect: only contributions of positive momenta along time should be maintained. The purpose of this work is to analyze the backflow effect in the light of the underlying intrinsic decoherence and the dissipative dynamics. For this goal, we first deal with the Milburn approach where a mean frequency of the unitary evolution steps undergone for the system is assumed. A comparative analysis is carried out in terms of the Lindblad master equation. Second, the so-called quantum-to-classical transition wave equation is analyzed from a linear scaled Schrödinger equation which is derived and expressed in terms of a continuous parameter covering from the quantum to the classical regime as well as all in-between dynamical non-classical regimes. This theoretical analysis is inspired by the Wentzel-Kramers-Brillouin approximation. And third, in order to complete our analysis, the transition wave equation formalism is also applied to dissipative backflow within the Caldirola-Kanai approach where the dissipative dynamics comes from an effective Hamiltonian. In all the cases treated here, backflow is gradually suppressed as the intrinsic decoherence process is developing, paying a special attention to the classical limit. The route to classicality is not unique.

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