散流量子系统中的过渡和稳定状态混乱.
Debabrata Mondal1, Lea F Santos2, S Sinha1
1Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia-741246, India.
Physical review letters
|February 16, 2026
概括
使用诺曼 (VNE) 和时间外顺序相关系数 (OTOCs) 重新定义消散量子混乱. 这些方法揭示了不同的短暂和稳定状态混乱制度,纠正了以前的光谱统计学假设.
科学领域:
- 量子物理学的量子物理学
- 混沌理论是一个混乱理论.
- 统计力学就是统计力学.
背景情况:
- 分散的量子混沌缺乏精确的定义,阻碍了对信息杂乱,非单元进化和热化的理解.
- 已经证明Grobe-Haake-Sommers猜测,将光谱统计与经典混乱联系起来,已经失败了.
- 现有的方法难以捕捉开放系统中量子混乱的全部动态.
研究的目的:
- 在消散量子混沌中恢复量子-经典对应.
- 引入可靠的诊断来识别量子混乱的不同模式.
- 澄清光谱统计在描述混乱动态中的作用.
主要方法:
- 利用·诺伊曼 (VNE) 动力学来追踪量子混乱.
- 使用时间外顺序相关系数 (OTOC) 作为混乱指标.
- 分析开放的异构的迪克模型和随机矩阵玩具模型.
主要成果:
- 他们发现了两种不同的散散量子混沌模式:瞬态和稳定状态.
- 暂时的混乱显示了早期的VNE/OTOC快速增长,且和度低.
- 稳定状态混乱的特点是长期高的VNE/OTOC值.
- 发现基尼布尔的光谱统计表明了短时间的混乱,而不是稳定状态的混乱.
结论:
- VNE动态和OTOC提供了可靠的消散量子混乱的诊断.
- 这项研究确立了超越光谱属性的强有力的量子-经典对应.
- 在短时间和长时间的混乱行为之间有明确的区别.
相关概念视频
Entropy
36.6K
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...
36.6K
Entropy
3.7K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
3.7K
Second Law of Thermodynamics
27.2K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic models, the...
27.2K
Second Law of Thermodynamics
69.0K
The Second Law of Thermodynamics states that entropy, or the amount of disorder in a system, increases each time energy is transferred or transformed. Each energy transfer results in a certain amount of energy that is lost—usually in the form of heat—that increases the disorder of the surroundings. This can also be demonstrated in a classic food web. Herbivores harvest chemical energy from plants and release heat and carbon dioxide into the environment. Carnivores harvest the...
69.0K
Entropy Change in Reversible Processes
3.3K
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.
3.3K
The Second Law of Thermodynamics
6.9K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
6.9K


