Soulas Antoine
Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria.
Entropy (Basel). 2025 Jun 18;27(6):652. doi: 10.3390/e27060652.
We built a discrete model that simulates the ubiquitous competition between the free internal evolution of a two-level system and the decoherence induced by the interaction with its surrounding environment. It is aimed at being as universal as possible, so that no specific Hamiltonian is assumed. This leads to an analytic criterion, depending on the level of short time decoherence, allowing one to determine whether the system will freeze due to the Zeno effect. We checked this criterion on several classes of functions which correspond to different physical situations. In the most generic case, the free evolution wins over decoherence, thereby explaining why the universe is indeed not frozen. We finally make a quantitative comparison with the continuous model of Presilla, Onofrio and Tambini, based on a Lindblad's master equation, a find good agreement at least in the low coupling regime.
我们构建了一个离散模型，该模型模拟了两能级系统的自由内部演化与其与周围环境相互作用所引起的退相干之间普遍存在的竞争。其目标是尽可能具有通用性，因此不假设特定的哈密顿量。这导致了一个取决于短时间退相干程度的解析判据，使人们能够确定系统是否会由于芝诺效应而冻结。我们在对应于不同物理情况的几类函数上检验了这个判据。在最一般的情况下，自由演化胜过退相干，从而解释了为什么宇宙确实没有冻结。我们最后基于林德布拉德主方程，与普雷西拉、奥诺弗里奥和坦比尼的连续模型进行了定量比较，并且至少在低耦合 regime 中发现了良好的一致性。
