Wave packet dynamics of entangled q-deformed states

TL;DR

This study investigates how q-deformation affects wave packet dynamics and entanglement in nonlinear media, revealing that even slight deformation can suppress revivals and induce chaos, with optimal parameters enhancing entanglement.

Contribution

It introduces the impact of q-deformation on wave packet and entanglement dynamics, highlighting the suppression of revivals and the emergence of chaos, and identifies optimal deformation for maximum entanglement.

Findings

Q-deformation suppresses wave packet revivals and fractional revivals.

Even slight q-deformation induces chaotic entanglement dynamics.

Optimal q value maximizes entanglement beyond non-deformed cases.

Abstract

This paper explores the wave packet dynamics of a math-type q- deformed field interacting with atoms in a Kerr-type nonlinear medium. The primary focus is on the generation and dynamics of entanglement using the q- deformed field, with the quantification of entanglement accomplished through the von Neumann entropy. Two distinct initial q-deformed states, the q-deformed Fock state, and the q-deformed coherent state, are investigated. The entanglement dynamics reveal characteristics of periodic, quasi-periodic, and chaotic behavior. Non-deformed initial states display wave packet near revivals and fractional revivals in entanglement dynamics while introducing q-deformation eliminates these features. The q-deformation significantly influences wave packet revivals and fractional revivals, with even a slight introduction causing their disappearance. For large values of q, the entanglement dynamics exhibit a chaotic nature. In the case of a beam splitter-type interaction applied to the initial deformed Fock state, an optimal deformation parameter q is identified, leading to maximum entanglement exceeding the non-deformed scenario.