Tripartite entanglement dynamics and entropic squeezing of a three-level atom interacting with a bimodal cavity field

Abstract

In this paper, we study the interaction between a $\Lambda$-type three-level atom and two quantized electromagnetic fields which are simultaneously injected in a bichromatic cavity surrounded by a Kerr medium in the presence of the field-field interaction (parametric down conversion) and detuning parameters. By applying a canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom is studied through the evolution of the atomic population inversion. In addition, two different measures of entanglement between the tripartite system (three entities make the system: two field modes and one atom) i.e., von Neumann and linear entropy are investigated. Also, two kinds of entropic uncertainty relations, from which entropy squeezing can be obtained, are discussed. In each case, the influences of the detuning parameters and Kerr medium on the above nonclassicality features are analyzed via numerical results, in detail. It is illustrated that the amount of the above-mentioned physical phenomena can be tuned by choosing the evolved parameters, appropriately.

19 pages

References in corpus (13)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum Open System Theory: Bipartite Aspects
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• Entanglement swapping with local certification: Application to remote micromechanical resonators
• Quantum entanglement and position-momentum entropic squeezing of a moving Lambda-type three-level atom interacting with a single-mode quantized field with intensity-dependent coupling
• Number-phase entropic squeezing and nonclassical properties of a three-level atom interacting with a two-mode field: Intensity-dependent coupling, deformed Kerr medium and detuning effects
• Number-phase entropic uncertainty relations and Wigner functions for solvable quantum systems with discrete spectra
• Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field
• Tripartite entanglement dynamics for atom in a two-mode nonlinear cavity
• Gazeau$-$Klauder squeezed states associated with solvable quantum systems
• Nonlinear Quantum Optical Springs and Their Nonclassical Properties

Cited by in corpus (1)

• Entanglement, quantum statistics and squeezing of two $\Xi$-type three-level atoms interacting nonlinearly with a single-mode field