论文标题
聚合量子力学中的开放散射模型
An open scattering model in polymerized quantum mechanics
论文作者
论文摘要
我们在聚合开放量子机械系统的背景下得出一个量子主方程，用于在理想的气体环境中散射布朗粒子。该模型是通过自上而下的方法来制定的，它通过选择一个通常与空间偏压相关的系统和环境之间的耦合的哈密顿量。我们通过使用循环量子重力应用的量化程序的启发，通过使用规范换向关系的非标准表示，扩展了此类模型上的现有工作，该过程得出了一个模型，在该模型中，位置操作员被载体代替。在自上而下的方法中，主方程的推导为详细调查的可能性开辟了可能性是否在此类模型中使用的假设是为了获得耗散器的可处理形式，在聚合情况下也持有，或者是否需要删除或修改它们。此外，我们讨论了与有效方程相关的主方程的某些物理属性，以期为基本运算符的期望值相关，并将我们的结果与已经存在的碰撞腐烂模型进行了比较。
We derive a quantum master equation in the context of a polymerized open quantum mechanical system for the scattering of a Brownian particle in an ideal gas environment. The model is formulated in a top-down approach by choosing a Hamiltonian with a coupling between the system and environment that is generally associated with spatial decoherence. We extend the existing work on such models by using a non-standard representation of the canonical commutation relations, inspired by the quantization procedure applied in loop quantum gravity, which yields a model in which position operators are replaced by holonomies. The derivation of the master equation in a top-down approach opens up the possibility to investigate in detail whether the assumptions, usually used in such models in order to obtain a tractable form of the dissipator, hold also in the polymerized case or whether they need to be dropped or modified. Furthermore, we discuss some physical properties of the master equation associated to effective equations for the expectation values of the fundamental operators and compare our results to the already existing models of collisional decoherence.
