在一维多体量子系统中可观测的后期普遍分布函数
I Vallejo-Fabila1, E Jonathan Torres-Herrera1
1Instituto de Física, Benemérita Universidad Autónoma de Puebla, Puebla, 72570, México.
Physical review. E
|November 18, 2023
概括
这项研究揭示了量子系统的普遍概率分布形状,根据可观测的情况显示指数式或高斯式形式. 这一发现简化了分析量子力学,即使在复杂的无序系统中也是如此.
科学领域:
- 量子力学就是量子力学.
- 统计物理学的统计物理.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 了解量子系统的长期行为对于量子模拟等领域至关重要.
- 描述可观测的概率分布为系统动态提供了洞察力.
研究的目的:
- 分析1D旋转链中长时间可观测值的概率分布函数.
- 研究这些分布的普遍性及其对系统属性的依赖性 (清洁与无序).
- 探索对多体定位和量子模拟实验的影响.
主要方法:
- 对扩展的初始状态的回归概率和光谱形状因子的分析.
- 计算自旋自相对应和连接的自旋-自旋相关函数.
- 应用中央极限定理来确定分布形状.
主要成果:
- 概率分布函数在中央极限定理下表现出一种普遍的形状.
- 对回报概率和光谱形状因子的指数分布.
- 对于少数物体可观测的高斯分布.
- 已证明适用于干净和无序的1D旋转-1/2链.
结论:
- 该研究建立了量子可观测的普遍分布形状,简化了分析.
- 这种方法是高效的,只需要单个样本动态和小系统大小.
- 这些发现有利于研究无序的量子系统,并为量子模拟器实验提供信息.
相关概念视频
The Pauli Exclusion Principle
37.9K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
37.9K
First Law: Particles in One-dimensional Equilibrium
6.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.9K
Distribution of Molecular Speeds
4.0K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.0K
The Quantum-Mechanical Model of an Atom
42.4K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.4K
Atomic Orbitals
33.6K
An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
33.6K
Molecular Orbital Theory I
32.2K
Overview of Molecular Orbital Theory
32.2K


