时间反演不变性和因果关系的动力学分解
Dynamical breakdown of time reversal invariance and causality
摘要：
在具有可逆和因果动力学的精确可解调和模型中，建立了子系统的不可逆性和因果性。结果表明，初始条件，施加在某些动力学自由度可能会打破其他自由度的时间反演不变性。如果在任何大但有限的时间内进行的观测不能分辨被消除的自由度的谱，即当谱在基态具有凝聚点时，就会发生这种情况。由于几乎与时间无关的模式占主导地位的动力学，因此具有连续性。
英文摘要：
Irreversibility and acausality of a sub-system are established in exactly soluble harmonic models with reversible and causal dynamics. It is shown that initial conditions, imposed on some dynamical degrees of freedom may break time reversal invariance for other degrees of freedom. This happens if observations carried out in any large but finite amount of time can not resolve the spectrum of the eliminated degrees of freedom, namely when the spectrum has a condensation point at the ground state. Acausality follows due to the dominance of the dynamics by almost time-independent modes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
