Wavefunction collapse driven by non-Hermitian disturbance

IF 1.1 Q3 PHYSICS, MULTIDISCIPLINARY Journal of Physics Communications Pub Date : 2024-07-01 DOI:10.1088/2399-6528/ad5b37
Jorge Martínez Romeral, Luis E F Foa Torres and Stephan Roche
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Abstract

In the context of the measurement problem, we propose to model the interaction between a quantum particle and an ‘apparatus’ through a non-Hermitian Hamiltonian term. We simulate the time evolution of a normalized quantum state split into two spin components (via a Stern–Gerlach experiment) and that undergoes a wavefunction collapse driven by a non-Hermitian Hatano-Nelson Hamiltonian. We further analyze how the strength and other parameters of the non-Hermitian perturbation influence the time-to-collapse of the wave function obtained under a Schödinger-type evolution. We finally discuss a thought experiment where manipulation of the apparatus could challenge standard quantum mechanics predictions.
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非赫米提干扰驱动的波函数坍缩
在测量问题的背景下,我们建议通过非ermitian 哈密顿项来模拟量子粒子与 "仪器 "之间的相互作用。我们模拟了被分成两个自旋分量的归一化量子态的时间演化(通过斯特恩-格拉赫实验),该量子态在非ermitian Hatano-Nelson Hamiltonian 的驱动下发生波函数坍缩。我们进一步分析了非ermitian扰动的强度和其他参数如何影响在薛定谔型演化下获得的波函数的坍缩时间。最后,我们讨论了一个思想实验,在这个实验中,对仪器的操作可能会挑战标准量子力学的预测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Physics Communications
Journal of Physics Communications PHYSICS, MULTIDISCIPLINARY-
CiteScore
2.60
自引率
0.00%
发文量
114
审稿时长
10 weeks
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