在开放量子系统中恢复了利布-舒尔茨-马蒂斯定理
Yi-Neng Zhou1, Xingyu Li1, Hui Zhai1,2
1Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
National science review
|January 13, 2025
概括
利布 - 舒尔茨 - 马蒂斯 (LSM) 定理
科学领域:
- 量子多体物理学 量子多体物理学
- 凝聚物质理论 凝聚物质理论
背景情况:
- 利布-舒尔茨-马蒂斯 (LSM) 定理禁止1D半整数旋转链中的非退化间隙基态.
- 系统与浴的相互作用可以打破节能,限制定理的适用性.
研究的目的:
- 调查LSM定理在开放量子系统的纠哈密尔顿定理中的复兴.
- 探索浴合诱导的短距离相关性的作用.
主要方法:
- 在开放量子系统中理论分析纠哈密尔顿式.
- 一个旋转-1/2系统与一个旋转-1/2浴相结合的数值模拟.
主要成果:
- 对于短距离相关系系统,LSM定理可以在纠汉密尔顿式中恢复.
- 这些系统中的纠光谱不能具有非退化,间隙最小值.
- 紫外线数据和拓约束在开放系统中显著影响纠.
结论:
- 这项研究将LSM定理的适用性扩展到开放的量子多体系统.
- 纠特性是由UV数据和拓约束构成的,而不仅仅是UV-IR对应.
相关概念视频
The Pauli Exclusion Principle
34.8K
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:
34.8K
First Law: Particles in Two-dimensional Equilibrium
5.0K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
5.0K
First Law: Particles in One-dimensional Equilibrium
6.8K
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...
6.8K
Stability of Equilibrium Configuration
429
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
429
Impulse-Momentum Theorem
11.1K
The total change in the motion of an object is proportional to the total force vector acting on it and the time over which it acts. This product is called impulse, a vector quantity with the same direction as the total force acting on the object.
By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its...
By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its...
11.1K
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.0K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.0K


