在马科夫开放量子力学中,普遍和非普遍的概率定律受到一般化重置过程的约束
Federico Carollo1, Igor Lesanovsky1,2,3, Juan P Garrahan2,3
1Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
Physical review. E
|May 17, 2024
概括
具有状态重置的量子系统对轨迹可观测的顺序表现出普遍的概率定律. 这种普遍性不管可观测或动态如何,都持有,将古典发现扩展到量子领域.
科学领域:
- 量子力学就是量子力学.
- 统计物理学的统计物理.
- 开放的量子系统是开放的.
背景情况:
- 马科维的开放量子系统在不断的消散和噪声中进化.
- 随机重置引入了改变系统动态的离散事件.
- 之前的工作在古典随机过程中确定了普遍规律.
研究的目的:
- 在具有状态重置的开放量子系统中研究量子跳跃轨迹.
- 为了确定轨迹可观测的普遍概率定律是否出现.
- 将经典随机过程的发现扩展到量子领域.
主要方法:
- 在随机状态重置下对量子跳跃轨迹的分析.
- 从轨迹可观测的随机变量的定义在重置间隔内.
- 对这些随机变量序列的概率定律的推导.
主要成果:
- 一个普遍的概率定律支配了与量子状态函数相关的可观测的排序.
- 这一定律是独立于特定的可观测值,对于波伊森的重置,系统动态.
- 对于离散的可观测物 (量子跳跃计数) 失去了普遍性,除非满足特定条件,例如相同结果的消失概率.
结论:
- 该研究建立了量子轨迹与状态重置的普遍概率定律.
- 结果将经典发现概括为量子系统和依赖状态的重置.
- 突出了量子随机过程中普遍性出现的条件.
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
Probability Laws
40.8K
Overview
40.8K
Reversible and Irreversible Processes
4.2K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.2K
Propagation of Uncertainty from Random Error
681
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
681
The Uncertainty Principle
23.3K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
23.3K
First Law: Particles in One-dimensional Equilibrium
6.9K
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...
6.9K


