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Quantum Quantifiers for an Atom System Interacting with a Quantum Field Based on Pseudoharmonic Oscillator States.
Bahaaudin Mohammadnoor Raffah1, Kamal Berrada2
1Department of Physics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
We explore a two-level atom interacting with a quantized field using pseudoharmonic oscillators and photon-added coherent states. This model reveals dynamics of entanglement, statistical properties, and squeezing entropies.
Area of Science:
- Quantum optics
- Atomic physics
- Condensed matter theory
Background:
- Atom-field interactions are fundamental in quantum mechanics.
- Pseudoharmonic oscillators provide a versatile framework for modeling quantum systems.
- Coherent states and their modifications, like photon-added states, are crucial for exploring quantum phenomena.
Purpose of the Study:
- To develop a model for a two-level atom interacting with a quantized coherent field.
- To investigate the influence of photon-added coherent states of pseudoharmonic oscillators on atom-field dynamics.
- To analyze key quantum properties including entanglement, statistical distributions, geometric phase, and squeezing.
Main Methods:
- Utilizing the pseudoharmonic oscillator framework.
- Employing photon-added coherent states to describe the quantized field.
- Solving the model analytically to study the temporal evolution of quantum observables.
- Qualitative examination of physical quantities.
Main Results:
- The study analyzes the temporal evolution of entanglement, demonstrating its dynamics under the influence of the chosen states and potentials.
- Statistical properties of the system are investigated, providing insights into the quantum behavior.
- Geometric phase and squeezing entropies are calculated and analyzed, revealing their dependence on system parameters.
- A clear relationship is established between the examined physical quantities and their dynamics with respect to physical parameters.
Conclusions:
- The developed model offers a comprehensive understanding of atom-field interactions within the pseudoharmonic oscillator framework.
- Photon-added coherent states significantly influence the quantum dynamics and properties of the two-level atom system.
- The findings highlight the interplay between system parameters and the observed quantum phenomena, such as entanglement and squeezing.
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