摘要
Quantum dynamics in a family of generalized Fibonacci lattices have been studied. The autocorrelation function C(t) and the mean square displacement d(t) are investigated in the framework of a tight-binding Hamiltonian model. Numerical results show that C(t) similar to t(-delta) and d(t) similar to t(beta). With the increase of modulation strength, d(t) exhibits a transition from ballistic (beta = 1) to non-ballistic behavior (0 < beta < 1). However, we have 0 < delta < 1 in any case, and delta decreases upon increasing the modulation strength. Moreover, approximately self-similar oscillations for both C(t) and d(t) are observed in the strong modulation cases.
Quantum dynamics in a family of generalized Fibonacci lattices have been studied. The autocorrelation function C(t) and the mean square displacement d(t) are investigated in the framework of a tight-binding Hamiltonian model. Numerical results show that C(t) similar to t(-delta) and d(t) similar to t(beta). With the increase of modulation strength, d(t) exhibits a transition from ballistic (beta = 1) to non-ballistic behavior (0 < beta < 1). However, we have 0 < delta < 1 in any case, and delta decreases upon increasing the modulation strength. Moreover, approximately self-similar oscillations for both C(t) and d(t) are observed in the strong modulation cases.
