对纠的非赫米特式开放系统的变化方法
Jiarui Zeng1, Wen-Qiang Xie2,3, Yang Zhao4
1School of Physics and Optoelectronic Engineering, Hainan University, Haikou 570228, China.
Journal of chemical theory and computation
|April 4, 2025
概括
这项研究引入了开放量子系统的新计算方法,克服了伪模式模型的局限性. 该方法有效地处理复杂的动态,并避免计算空间的指数增长.
科学领域:
- 量子物理学 量子物理学 是一种量子物理学.
- 计算化学计算化学
- 理论物理 理论物理
背景情况:
- 伪模式模型对于开放量子系统中的非扰动动力学是有效的.
- 一个关键的限制是希尔伯特空间的指数增长,这给计算带来了挑战.
研究的目的:
- 开发一种新的计算方法来克服伪模式模型的局限性.
- 为了能够高效地模拟复杂的开放量子系统动态.
主要方法:
- 结合多个达维多夫Ansatz与Choi-Jamiolkowski的同态性.
- 在双希尔伯特空间中将Lindblad方程转换为非赫米特式的施罗丁格方程.
- 使用依赖时间的变量原理来确定动力学.
主要成果:
- 提出的方法有效地绕过了与多个伪模式相关的指数级希尔伯特空间增长.
- 证明了处理多浴场景和潜在交叉点的能力.
- 通过对三个不同的案例进行计算,验证了该方法的有效性.
结论:
- 这种新的方法为研究开放量子力学提供了一种计算效率高的工具.
- 对各种伪模式模型和其他散热系统的潜在应用.
- 为推进量子动力学研究提供了一个有前途的途径.
更多相关视频
相关概念视频
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Entropy and the Second Law of Thermodynamics
2.7K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
2.7K
The Pauli Exclusion Principle
33.7K
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:
33.7K
Free Energy Changes for Nonstandard States
10.7K
The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
where R is the gas constant (8.314 J/K·mol), T is the absolute temperature in kelvin, and Q is the reaction quotient. This equation may be used to predict the spontaneity of a process under any given set of conditions.
Reaction Quotient...
where R is the gas constant (8.314 J/K·mol), T is the absolute temperature in kelvin, and Q is the reaction quotient. This equation may be used to predict the spontaneity of a process under any given set of conditions.
Reaction Quotient...
10.7K
The Quantum-Mechanical Model of an Atom
41.7K
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...
41.7K
Entropy
28.3K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
28.3K


