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

Abstract

The interaction between two $\Xi$-type three-level atoms and a single-mode cavity field in the intensity dependent coupling regime has been studied. Exact analytical solution of the wave function for the considered atoms-field system has been obtained by using the Laplace transform technique when the atoms are initially prepared in the excited state and the field is in a coherent state. The presented structure has the potential ability to generate various new classes of entangled states depending on the chosen nonlinearity function. Two forms of intensity-dependent coupling as well as constant coupling are considered. Some important physical properties such as quantum entanglement, quantum statistics and quadrature squeezing of the corresponding states are investigated, numerically, by which the nonclassicality features of the produced entangled state are well-established. In particular, the effect of intensity-dependent coupling on the degree of entanglement between different bipartite partitions of the system (that is, "atom$+$atom"-field and "field$+$atom"-atom) using the linear entropy is investigated. At the same time, by paying attention to the negativity as a useful measure, the entanglement between the two atoms is studied in detail.

10 pages, 7 figures

References in corpus (18)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Entanglement of a Pair of Quantum Bits
• On the volume of the set of mixed entangled states
• f-Oscillators and Nonlinear Coherent States
• Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement
• Quantitative measures of entanglement in pair coherent states
• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• Dynamics of entropy and nonclassical properties of the state of a $\Lambda$-type three-level atom interacting with a single-mode cavity field with intensity-dependent coupling in a Kerr medium
• Entanglement dynamics and position-momentum entropic uncertainty relation of a $\Lambda$-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities
• Tripartite entanglement dynamics and entropic squeezing of a three-level atom interacting with a bimodal cavity field
• 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
• Relationship between the atomic inversion and Wigner function for multiphoton multimode Jaynes-Cummings model
• Entangling Two-Atom Through Cooperative Interaction Under Stimulated Emission

Cited by in corpus (7)

• Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift
• Dynamics of entropy and nonclassicality features of the interaction between a $♢$-type four-level atom and a single-mode field in the presence of intensity-dependent coupling and Kerr nonlinearity
• Entanglement criteria of two two-level atoms interacting with two coupled modes
• Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method
• Dynamics of physical properties of a single-mode quantized field nonlinearly and non-resonantly interacting with two V-type three-level atoms passing consecutively through a cavity
• Quantum repeater using three-level atomic states in the presence of dissipation: stability of entanglement
• Algebraic and group treatments to nonlinear displaced number states and their nonclassicality features