Nonlinear time evolution of coherent states with observation of super revivals in a generalized isotonic oscillator

作者：Ruby V Chithiika^*; Muruganandam P; Senthilvelan M

来源：International Journal of Geometric Methods in Modern Physics, 2014, 11(4): 1450027.

DOI：10.1142/S0219887814500273

• Generalized isotonic oscillator
• coherent states
• revival

In this paper, we investigate revival and super revivals of nonlinear coherent states while generating these states through the interaction of coherent states of a generalized isotonic oscillator with the nonlinear media during time evolution. We construct the f-deformed generalized isotonic oscillator which is a non-isochronous partner of the generalized isotonic oscillator. We connect these two nonlinear oscillators through deformed ladder operators. The generalized isotonic oscillator possesses linear energy spectrum whereas f-deformed generalized isotonic oscillator exhibits nonlinear energy spectrum. The presence of the cubic nonlinearity in the f-deformed oscillator motivates us to study revivals, super and fractional revivals of coherent states which are nonlinearly evolved. We also investigate time-dependent expectation values of uncertainties in certain canonically conjugate variables and demonstrate that at revival and super revival times the uncertainty relation attains its minimum value.

• 出版日期2014-4