量子系统与白色非高斯浴室相互作用的动力学:波桑噪声主方程
Ken Funo1, Akihito Ishizaki1,2
1Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan.
Physical review letters
|May 10, 2024
概括
这项研究引入了与非高斯环境相互作用的开放量子系统的新理论. 它开发了一种量子浴模型来描述受波桑噪声影响的消散量子系统,从而推进对量子动力学的理解.
科学领域:
- 量子物理学 量子物理学 是一种量子物理学.
- 开放的量子系统 开放的量子系统
- 量子热力学就是量子热力学.
背景情况:
- 量子系统本质上是开放的,与它们的环境相互作用,导致波动,消散和脱节.
- 标准模型通常假定高斯浴统计 (例如,波器),但非高斯浴对于涉及两态系统或无波器的现象至关重要.
- 目前在开放量子系统中缺乏非高斯浴场效应的强有力的理论框架.
研究的目的:
- 开发一个理论框架来描述受非高斯浴特性影响的量子消散系统.
- 引入一个量子浴模型,能够一致地描述这样的系统.
- 为了揭示白噪声模式中的非高斯浴效应.
主要方法:
- 使用了Lévi-Itô分解定理,该定理将Poisson噪声确定为描述高斯属性之外的任意白噪声的基础.
- 开发了一种新的量子浴模型.
- 导出了一个主方程来描述量子系统的动态.
主要成果:
- 建立了受波桑噪声影响的量子散射系统的理论,波桑噪声是非高斯白噪声的关键组成部分.
- 导出的总方程明确证明了非高斯式浴场效应对白噪声极限的影响.
- 新模型为与各种浴类型相互作用的开放量子系统提供了一致的描述.
结论:
- 开发的理论和量子浴模型在理解开放量子动力学方面取得了重大进展.
- 这项工作为在通用,非高斯浴的影响下描述量子系统铺平了道路.
- 这是迈向更全面的开放量子系统理论的重要一步.
相关概念视频
Poisson's And Laplace's Equation
2.8K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.8K
The de Broglie Wavelength
25.9K
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...
25.9K
The Quantum-Mechanical Model of an Atom
42.3K
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.
42.3K
Atomic Nuclei: Nuclear Relaxation Processes
648
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
648
Atomic Nuclei: Types of Nuclear Relaxation
293
Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
293
Equilibrium Conditions for a Particle
1.1K
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...
1.1K


