水力动力学模式和操作者在长距离的质量中心-维护布朗的萨赫德夫-耶-基塔耶夫模型中传播
Bai-Lin Cheng1, Shao-Kai Jian2, Zhi-Cheng Yang1,3
1Peking University, School of Physics, Beijing 100871, China.
Physical review letters
|May 2, 2025
概括
我们分析了一种具有远程相互作用的复杂量子系统. 电荷传输可以从亚扩散到超扩散,这取决于相互作用细节.
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
- 统计力学 统计力学
背景情况:
- 萨赫德夫-耶-基塔耶夫 (Sachdev-Ye-Kitaev,简称SYK) 模型是研究量子混沌和热化的关键理论框架.
- 在具有动力约束和远程相互作用的系统中理解水力动力学对于描述新兴现象至关重要.
研究的目的:
- 为了研究一个保持质量中心的布朗复杂SYK模型与功率定律相互作用的电荷传输特性.
- 探索动力约束和系统水力动力学上的远程相互作用之间的相互作用.
- 通过分析推导出时间外顺序相关因子 (OTOC) 的有效作用,并绘制相位图.
主要方法:
- 施温格-凯尔迪什有效动作形式主义来计算水力动力学.
- 双倍的希尔伯特空间方法来推导OTOC的有效作用.
- 对具有1/r^{η}.特征的权力定律相互作用的分析.
主要成果:
- 揭示了与保存电荷相关的丰富的水力动力学,显示可调节的电荷传输 (亚扩散,扩散,超扩散) 由指数 η 控制.
- 导出了OTOC的相位图,区分了线性和对数光传播.
- 在这个复杂的量子系统中为新出现的水力动力学模式和OTOC提供了分析框架.
结论:
- 该研究提出了一个有动力约束和长距离相互作用的具体量子多体系统,表现出可调节的传输特性.
- 水力动力学和OTOC的分析结果为这些系统中的量子混乱和热化提供了洞察力.
- 这些发现弥合了微观模型和复杂量子物质中的宏观新兴行为之间的差距.
相关概念视频
The Quantum-Mechanical Model of an Atom
41.5K
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...
41.5K
The de Broglie Wavelength
25.1K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.1K
Conservation of Linear Momentum for a System of Particles
188
In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
188
Dimensionless Groups in Fluid Mechanics
120
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...
120
Equilibrium Conditions for a Particle
933
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
933
First Law: Particles in One-dimensional Equilibrium
6.7K
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...
6.7K


