QUANTUM MECHANICS OF LATTICE GAS AUTOMATA : ONE-PARTICLE PLANE WAVES AND POTENTIALS
QUANTUM MECHANICS OF LATTICE GAS AUTOMATA : ONE-PARTICLE PLANE WAVES AND POTENTIALS
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晶格气体自动机的量子力学：单粒子平面波和势
DOI：
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发表时间：
1996
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通讯作者：
D. Meyer
中科院分区：
文献类型：
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作者：
D. Meyer
经典晶格气体自动机可以有效地模拟物理过程，例如扩散和流体流动（在某些参数范围内），尽管它们在微观尺度上很简单。受当前对量子计算的兴趣的推动，我们最近定义了{italQuantum}晶格气体自动机；在本文中，我们启动了一个项目来分析这些模型可以有效模拟哪些物理过程。通过研究一维量子晶格气体的单粒子扇区，我们发现了平面波和波包的离散类似物，然后研究了它们在不均匀势存在下的行为。 {版权} {ital 1997} {ital 美国物理学会}
Classical lattice gas automata effectively simulate physical processes, such as diffusion and fluid flow (in certain parameter regimes), despite their simplicity at the microscale. Motivated by current interest in quantum computation we recently defined {ital quantum} lattice gas automata; in this paper we initiate a project to analyze which physical processes these models can effectively simulate. Studying the single particle sector of a one-dimensional quantum lattice gas we find discrete analogs of plane waves and wave packets, and then investigate their behavior in the presence of inhomogeneous potentials. {copyright} {ital 1997} {ital The American Physical Society}