Wave packet dynamics of entangled q-deformed states

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...

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Bibliographic Details
Published in:Physica scripta 2024-07, Vol.99 (7), p.75111
Main Authors: Rohith, M, Anupama, S, Sudheesh, C
Format: Article
Language:English
Subjects:
q-deformed quantum states
quantum entanglement
wave packet revivals
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Summary: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 behaviour. 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.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad56d3