标题： 时间箭头在混沌本征态中的寿命：耦合踢转子的情况 显示英文标题

标题： Lifetime of the arrow of time inherent in chaotic eigenstates: case of coupled kicked rotors

摘要： 一个与物体量子系统非常弱耦合的线性振荡器被提出作为探测器，用于测量系统表现出的不可逆性的寿命，并且经典混沌耦合的踢转摆被检查作为理想例子。 寿命在与踢转摆之间纠缠熵(EE)增强密切相关的情况下急剧增加。 在向完全纠缠过渡的区域中，单个本征态的EE异常波动，寿命也与EE相关地波动。 在完全纠缠区域，波动消失，但寿命尚未唯一，而是与叠加的本征态数量成比例，并且在完全叠加时与希尔伯特空间维度的平方成比例。 显示英文摘要

摘要： A linear oscillator very weakly coupled with the object quantum system is proposed as a detector measuring the lifetime of irreversibility exhibited by the system, and classically chaotic coupled kicked rotors are examined as ideal examples. The lifetime increases drastically in close correlation with the enhancement of entanglement entropy(EE) between the kicked rotors. In the transition regime to the full entanglement, the EE of individual eigenstates fluctuates anomalously, and the lifetime also fluctuates in correlation with the EE. In the fully entangled regime the fluctuation disappear, but the lifetime is not yet unique but increases in proportion to the number of superposed eigenstates and is proportional to the square of Hilbert space dimension in the full superposition.