统一新兴水力动力学和林布拉迪低能光谱,跨越对称性,约束和长距离相互作用
Olumakinde Ogunnaike1, Johannes Feldmeier2, Jong Yeon Lee3,4
1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Physical review letters
|December 15, 2023
概括
我们通过将动态映射到有效的哈密尔顿式来在随机量子系统中发现新兴的水力动力学. 这个框架解释了各种放松行为,包括异国情调的扩散动态,为保守的操作员.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子动力学就是量子动力学.
- 统计力学就是统计力学.
背景情况:
- 了解复杂量子系统中的电荷传输和放松至关重要.
- 布朗的随机时间进化引入了具有对称性和相互作用的独特动态.
研究的目的:
- 为了确定管理随机时间进化的系统中电荷运输的新兴水力动力学.
- 为了解扩散性,亚扩散性和超扩散性放松提供一个一般框架.
主要方法:
- 映射平均动态到一个林德布拉德运算子的低能频谱 (有效的哈密尔顿式).
- 使用单模近似方法构建有效哈密尔顿式的分散激发状态.
- 理论预测的数值验证.
主要成果:
- 对各种放松行为 (扩散性,亚扩散性,超扩散性) 的全面理解.
- 鉴定了异国情调的克里洛夫空间解决的扩散放松,尽管双极保护.
- 展示适用于多种系统的多功能框架.
结论:
- 开发的框架提供了对随机单元演化下保存运算符的动态的定性见解.
- 这种方法统一了在多体系统中对不同放松模式的理解.
相关概念视频
01:28Symmetry in Maxwell's Equations
3.4K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.4K
02:12The Wave Nature of Light
49.1K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
49.1K
02:39Emission Spectra
53.2K
When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
53.2K
01:15Dimensionless Groups in Fluid Mechanics
340
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
340
01:10First 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
02:45The 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