倾斜二维离散晶格中量子粒子的利萨如斯动力学

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2024-11-14 DOI:10.1140/epjp/s13360-024-05787-8

Grzegorz Jaczewski, Tomasz Sowiński

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引用次数: 0

摘要

我们从经典-量子对应的角度分析了离散二维倾斜晶格中单个粒子的量子动力学。利用倾斜晶格会导致振荡动力学这一事实，我们展示了如何调整晶格的参数和粒子的初始状态，从而使概率分布在演化过程中不改变其形状，而其中心遵循经典力学中称为利萨如曲线的轨迹。

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Lissajous dynamics of a quantum particle in a tilted two-dimensional discrete lattice

The quantum dynamics of a single particle in a discrete two-dimensional tilted lattice is analyzed from the perspective of the classical-quantum correspondence. Utilizing the fact that tilting the lattice results in oscillatory dynamics, we show how the parameters of the lattice and the initial state of the particle can be tuned so that during evolution the probability distribution does not change its shape, while its center follows the trajectory known in classical mechanics as Lissajous curves.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.