Fractional revivals of superposed coherent states

TL;DR

This paper investigates the fractional revival phenomena of superposed coherent states in nonlinear media, analyzing how initial superpositions influence revival times using various quantum state representations.

Contribution

It introduces a detailed analysis of fractional revivals in superposed states within Kerr-like media, highlighting the dependence on initial superposition configurations.

Findings

Fractional revival times depend on initial superposition states.

Identification of revivals varies with the number of superposed wave packets.

Wigner function and entropy analyses reveal revival dynamics.

Abstract

We study the dynamics of superposed wave packets in a specific nonlinear Hamiltonian which models the wave packet propagation in Kerr-like media and the dynamics of Bose-Einstein condensates. We show the dependence of initial wave packet superposition on fractional revival times using analysis based on the expectation values, R\'{e}nyi entropy and Wigner function. We also show how the selective identification of fractional revivals using moments of appropriate observables depends on the number of wave packets present in the initial state.