Parity Deformed Jaynes-Cummings Model: "Robust Maximally Entangled States"

Area of Science:

• Quantum Optics
• Atomic Physics
• Quantum Information Theory

Background:

• The Jaynes-Cummings model describes light-matter interaction in quantum optics.
• Parity-deformations and λ-analogs offer novel ways to study quantum systems.
• Understanding entanglement dynamics is crucial for quantum technologies.

Purpose of the Study:

• To investigate the dynamical behavior of a generalized Jaynes-Cummings model with parity-deformations.
• To analytically study the generation of maximally entangled states in a two-level atom-cavity system under an external field.
• To explore the influence of deformation and detuning on quantum entanglement and population inversion.

Main Methods:

• Utilizing parity-deformations of the quantum harmonic oscillator.
• Applying the λ-analog of the Heisenberg algebra.
• Analytical investigation of a coupled two-level atom and cavity field system with an external classical field.
• Examining systems with dissipation and external centrifugal fields.

Main Results:

• Demonstrated the generation of robust and maximally entangled states.
• Showcased periodic emergence of maximally entangled states under linear interaction.
• Found that entanglement is better preserved with increased deformation parameter in the dissipation regime.
• Stronger external fields lead to a better degree of entanglement.

Conclusions:

• Parity-deformations and external fields significantly influence entanglement dynamics.
• The system exhibits robust entanglement generation and preservation, particularly with stronger external fields.
• This research provides insights into controlling quantum entanglement in realistic, dissipative quantum systems.