  We study nonlinear dynamics of superposition of quantum wavepackets in
various systems such as Kerr medium, Morse oscillator and bosonic Josephson
junction. The prime reason behind this study is to find out how the
superposition of states influence the dynamics of quantum systems. We consider
the superposition states which are potential candidates for quantum computing
and quantum communication and so it is most necessary that we study the
dynamics for their proper understanding and usage. Methods in nonlinear time
series analysis such as first return time distribution, recurrence plot and
Lyapunov exponent are used for the qualification and quantification of
dynamics. We found that there is a vast change in the dynamics of quantum
systems when we consider the superposition of wave packets. These changes are
observed in various kinds of dynamics such as periodic, quasi-periodic,
ergodic, and chaotic dynamics.
