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Particle mixing and the emergence of classicality: A spontaneous collapse model view
Physical Review A ( IF 2.6 ) Pub Date : 
Kyrylo Simonov

Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering the collapse of wave functions 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 QMUPL and the CSL 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 It=o/Stratonovich dilemma in stochastic calculus.

中文翻译:

粒子混合和古典性的出现:自发崩溃模型视图

自发的崩溃模型旨在通过将波函数的崩溃视为一个物理过程来解决量子力学中的测量问题。我们分析这些模型如何影响衰减的振荡系统,其演化受现象学的非厄米特哈密顿量控制。反过来,我们将两种流行的崩溃模型QMUPL和CSL模型应用于中立介子系统。通过使用非希尔米特哈密顿量和Lindblad形式的耗散量在扩大的希尔伯特空间中的衰变系统的时间演化方法之间的等价性,我们证明了自发坍塌可以在量子态和主方程中引起衰变动力学。此外,我们表明,风味振荡系统的衰减特性与崩溃机制背后的噪声场的时间(a)对称性密切相关。反过来,这种(a)对称性与随机积分的定义有关,并且可以为随机演算中的It = o / Stratonovich难题提供物理直觉。
更新日期:2020-07-14
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