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Modern Physics Letters A

Unveiling quantum entanglement and Fisher information in three-level atom-parity deformed field interactions: Explosive dynamics in Ξ and Λ configurations

M. Algarni, S. Abdel‐Khalek, K. Berrada

Published Apr 6, 2026• 0 citations
Publisher

Abstract

We examine the quantum dynamics of entanglement and quantum Fisher information (FI) in a three-level atom (T–LA) interacting with a parity-deformed field (PDF) within the Heisenberg algebra framework. Utilizing the parity extension of harmonic oscillators, we describe the PDF through coherent states (CSs) and formulate a detailed quantum model for the T–LA-PDF system, incorporating both time-dependent and time-independent coupling regimes. We explore the cascade ([Formula: see text] and lambda ([Formula: see text] configurations of the T–LA, emphasizing the temporal evolution of essential quantum quantifiers, including T–LA populations, T–LA-PDF entanglement, and quantum Fisher information. Our results demonstrate that the interaction among field nonlinearity, coupling dynamics, and T–LA configuration facilitates accurate control and modulation of these quantifiers throughout the evolution.

DOI
10.1142/s0217732326501294

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We examine the quantum dynamics of entanglement and quantum Fisher information (FI) in a three-level atom (T–LA) interacting with a parity-deformed field (PDF) within the Heisenberg algebra framework. Utilizing the parity extension of harmonic oscillators, we describe the PDF through coherent states (CSs) and formulate a detailed quantum model for the T–LA-PDF system, incorporating both time-dependent and time-independent coupling regimes. We explore the cascade ([Formula: see text] and lambda ([Formula: see text] configurations of the T–LA, emphasizing the temporal evolution of essential quantum quantifiers, including T–LA populations, T–LA-PDF entanglement, and quantum Fisher information. Our results demonstrate that the interaction among field nonlinearity, coupling dynamics, and T–LA configuration facilitates accurate control and modulation of these quantifiers throughout the evolution.
Abstract This study explores the dynamics of a two two-level atomic system interacting with a parity-deformed field, modeled as a coherent state. By varying the parity deformation parameter and incorporating the effects of intensity-dependent coupling, we examine the time evolution of key quantum phenomena. These include atomic population inversion, von Neumann entropy, concurrence, quantum Fisher information, and the Mandel parameter, where each serves as a critical indicator. Our analysis reveals how the interplay between the deformation parameter and coupling effects governs the quantum dynamics, influencing entanglement, parameter estimation, and statistical properties of the field. These insights contribute to a more comprehensive understanding of how to control and optimize quantum phenomena, highlighting the model’s relevance for quantum information processing technologies.
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The parity-deformations of the quantum harmonic oscillator are used to describe the generalized Jaynes-Cummings model based on the λ-analog of the Heisenberg algebra. The behavior is interestingly that of a coupled system comprising a two-level atom and a cavity field assisted by a continuous external classical field. The dynamical characters of the system is explored under the influence of the external field. In particular, we analytically study the generation of robust and maximally entangled states formed by a two-level atom trapped in a lossy cavity interacting with an external centrifugal field. We investigate the influence of deformation and detuning parameters on the degree of the quantum entanglement and the atomic population inversion. Under the condition of a linear interaction controlled by an external field, the maximally entangled states may emerge periodically along with time evolution. In the dissipation regime, the entanglement of the parity deformed JCM are preserved more with the increase of the deformation parameter, i.e. the stronger external field induces better degree of entanglement.
We introduce a framework presenting the interaction between a four-level atom (F-LA) and a field mode that begins in a coherent state within the para-Bose field (P-BF). The F-LA is considered in a cascade configuration and initially prepared in the upper level. We display the system dynamics by solving the motion equation. We discuss various dynamical behaviors of fundamental quantum resources used in quantum optics and information tasks, including atomic population inversion, quantum entanglement (QE), and the statistical properties of the P-BF based on the parameters of the quantum model. In this context, we demonstrate the impact of various system parameters on these quantum resources. Finally, we illustrate the dynamic relationships among the quantum resources within the model.