Qualitative aspects of entanglement in the Jaynes-Cummings model with an external quantum field

Abstract

We present a mathematical procedure which leads us to obtain analytical solutions for the atomic inversion and Wigner function in the framework of the Jaynes-Cummings model with an external quantum field, for any kinds of cavity and driving fields. Such solutions are expressed in the integral form, with their integrands having a commom term that describes the product of the Glauber-Sudarshan quasiprobability distribution functions for each field, and a kernel responsible for the entanglement. Considering two specific initial states of the tripartite system, the formalism is then applied to calculate the atomic inversion and Wigner function where, in particular, we show how the detuning and amplitude of the driving field modify the entanglement. In addition, we also obtain the correct

15 pages and 21 figures

References in corpus (5)

• Decoherence, einselection, and the quantum origins of the classical
• Strong-driving-assisted multipartite entanglement in cavity QED
• Controlled entanglement of two field modes in a Cavity Quantum Electrodynamics experiment
• Decoherence and Programmable Quantum Computation
• Generation of Entangled N-Photon States in a Two-Mode Jaynes-Cummings Model

Cited by in corpus (4)

• Master equation for dissipative interacting qubits in a common environment
• Simulating para-Fermi oscillators
• (p,q)-Deformations and (p,q)-Vector Coherent States of the Jaynes-Cummings Model in the Rotating Wave Approximation
• Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals