论文标题
粒子混合和古典性的出现:自发偏转模型的视图
Particle mixing and the emergence of classicality: A spontaneous-collapse-model view
论文作者
论文摘要
自发塌陷模型旨在通过将波功能崩溃作为物理过程来解决量子力学中的测量问题。我们分析了这些模型如何影响腐烂的风味振荡系统,该系统的进化受现象学非汉密尔顿人的影响。反过来,我们将两个流行的崩溃模型分别应用于中性的介子系统。通过使用与非富米顿汉密尔顿的衰减系统的时间演变之间的相等性,在扩大的希尔伯特空间中,林金形式的消散器,我们表明自发崩溃可以引起量子状态和主方程的衰减动力学。此外,我们表明,风味振荡系统的衰减特性与倒塌机制基础的噪声场的时间(a)对称性密切相关。反过来,该(a)对称性与随机积分的定义有关,并且可以在随机演算中的Itō-Stratonovich困境背后提供物理直觉。
Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect a decaying flavor-oscillating system whose evolution is governed by a phenomenological non-Hermitian Hamiltonian. In turn, we apply two popular collapse models, the Quantum Mechanics with Universal Position Localization and the Continuous Spontaneous Localization models, to a neutral meson system. By using the equivalence between the approaches to the time evolution of decaying systems with a non-Hermitian Hamiltonian and a dissipator of the Lindblad form in an enlarged Hilbert space, we show that spontaneous collapse can induce the decay dynamics in both quantum state and master equations. Moreover, we show that the decay property of a flavor-oscillating system is intimately connected to the time (a)symmetry of the noise field underlying the collapse mechanism. This (a)symmetry, in turn, is related to the definition of the stochastic integral and can provide a physical intuition behind the Itō-Stratonovich dilemma in stochastic calculus.