开放量子系统的中间时间困境:过近似到精细的弱合极限.
Marek Winczewski1, Antonio Mandarino1,2, Gerardo Suarez1
1International Centre for Theory of Quantum Technologies, <a href="https://ror.org/011dv8m48">University of Gdańsk</a>, Jana Bażyńskiego 1A, Gdańsk, 80-309, Poland.
Physical review. E
|September 19, 2024
概括
过近似 (FA) 为开放的量子系统在中间时间尺度上提供了准确的动态,克服了现有的世俗和准世俗主方程的局限性. 这种新的非马科夫式的方法确保了完全积极的动态.
科学领域:
- 量子力学就是量子力学.
- 量子信息理论就是量子信息理论.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 戴维斯-GKSL世俗马尔科夫主方程广泛用于开放量子系统,但在短时间范围内失败.
- 准时代的主方程可以在短时间内工作,但不能在更长的时间间隔内工作.
- 现有的方法与中间时间尺度 ("灰色区域") 斗争,或者是计算密集的.
研究的目的:
- 开发一种新的方法来准确地描述开放量子系统在中间时间系统中的动态.
- 为了克服戴维斯-GKSL和准世俗主方程的局限性.
- 为量子力学提供一个数学上结构良好的,计算上高效的量子力学方法.
主要方法:
- 引入了过近似 (FA) 到精细的弱合极限.
- 在FA的基础上开发了一个非马科夫主方程.
- 将FA应用于表现出多个时间尺度的自旋玻色子和极立玻色子系统.
主要成果:
- 在FA成功地捕捉了量子系统的动态在中间时间的制度,一个区域没有被以前的方法很好地描述.
- 由此得出的非马科夫方程保证了完全正的动态.
- 证明了FA在具有明显的短时间和长时间尺度的系统中的有效性,例如自旋玻色子和极立玻色子模型.
结论:
- 过近似为描述不同时间尺度上的开放量子系统动态提供了强大而准确的方法.
- 这种方法弥合了世俗和准世俗接近所留下的差距,特别是在具有挑战性的中间时间制度中.
- 对于复杂的量子动力学来说,FA提供了一个计算上可行的和数学上合理的替代方案.
相关概念视频
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.0K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.0K
02:45The Quantum-Mechanical Model of an Atom
42.1K
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.
42.1K
01:23Equilibrium 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
01:21Linear Approximation in Time Domain
70
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
70
01:12Fermi Level Dynamics
228
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
228
03:06The Pauli Exclusion Principle
35.5K
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:
35.5K