Nonlinear dynamics of superpostion of wavepackets

TL;DR

This paper investigates how superposing quantum wavepackets affects the nonlinear dynamics of various quantum systems, revealing significant changes in their behavior including transitions to chaos, which is crucial for quantum computing and communication.

Contribution

It introduces a detailed analysis of the nonlinear dynamics of superposed quantum states across multiple systems using time series analysis methods.

Findings

Superposition significantly alters quantum system dynamics.

Transitions from periodic to chaotic behavior observed.

Dynamics vary across different quantum systems.

Abstract

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.