Entanglement criteria of two two-level atoms interacting with two coupled modes
arXiv:1407.8302 · doi:10.1007/s10773-015-2520-7
Abstract
In this paper, we study the interaction between two two-level atoms and two coupled modes of a quantized radiation field in the form of parametric frequency converter injecting within an optical cavity enclosed by a medium with Kerr nonlinearity. It is demonstrated that, by applying the Bogoliubov-Valatin canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Then, under particular initial conditions which may be prepared for the atoms (in a coherent superposition of its ground and upper states) and the fields (in a standard coherent state), the time evolution of state vector of the entire system is analytically evaluated. In order to understand the degree of entanglement between subsystems (atom-field and atom-atom), the dynamics of entanglement through different measures, namely, von Neumann reduced entropy, concurrence and negativity is evaluated. In each case, the effects of Kerr nonlinearity and detuning parameter on the above criteria are numerically analyzed, in detail. It is illustrated that the amount of the degree of entanglement can be tuned by choosing the evolved parameters, appropriately.
15 pages. arXiv admin note: text overlap with arXiv:1407.7716
References in corpus (17)
- Finite-Time Disentanglement via Spontaneous Emission
- Sudden Death of Entanglement
- Quantum Open System Theory: Bipartite Aspects
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
- Delayed (sudden) birth of entanglement
- Entanglement invariant for the double Jaynes-Cummings model
- Entanglement swapping with local certification: Application to remote micromechanical resonators
- Tripartite entanglement dynamics and entropic squeezing of a three-level atom interacting with a bimodal cavity field
- Entanglement, quantum statistics and squeezing of two -type three-level atoms interacting nonlinearly with a single-mode field
- Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion
- Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift
- 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
- 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
- Nonclassical characteristic functions for highly sensitive measurements
- Tripartite entanglement dynamics for atom in a two-mode nonlinear cavity