CAJ | 학술논문

　　研究一个准周期猫映射的弛豫及遍历性特征，其中系统的一个参数随时间的变化由菲波那契序列确定。研究表明，在弛豫阶段，系统的粗粒熵随时间线性增长，增长率为系统的正李亚普诺夫指数。该结果与周期猫映射的弛豫特征一致。但当系统达到平衡态以后，其量子粗粒熵的时间平均值在半经典极限下正比于普朗克常数的平方，和在周期猫映射中观测到正比于普朗克常数的结果截然不同。文章进一步讨论这一结果的普遍性及鲁棒性。
　　연구일개준주기묘영사적이예급편력성특정，기중계통적일개삼수수시간적변화유비파나계서렬학정。연구표명，재이예계단，계통적조립적수시간선성증장，증장솔위계통적정리아보낙부지수。해결과여주기묘영사적이예특정일치。단당계통체도평형태이후，기양자조립적적시간평균치재반경전겁한하정비우보랑극상수적평방，화재주기묘영사중관측도정비우보랑극상수적결과절연불동。문장진일보토론저일결과적보편성급로봉성。
We study relaxation and ergodicity properties of a quasiperiodic cat map where the system parameter is coded into a Fibonacci sequence. We find that during the relaxation stage, coarse-grained entropy increases lin-early in time with the rate given by the positive Lyapunov exponent in both the classical and quantum cases, which is the same as in the periodic cat maps. However, in the equilibrium stage, the time averaged quantum coarse-grained entropy is proportional to the square of the Planck constant, in clear contrast to the linear dependence on the Planck constant as observed in the corresponding periodic cat map. The generality and robustness of this novel result is also discussed.