Universal Journal of Physics and Application Vol. 8(5), pp. 237 - 244
DOI: 10.13189/ujpa.2014.020501
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Entanglement in a Jaynes-Cummings Model with Two Atoms and Two Photon Modes


Samina S. Masood 1,*, Allen Miller 2
1 Department of Physics, University of Houston Clear Lake, Houston TX 77058
2 Department of Physics, Syracuse University, Syracuse, NY 13244-1130

ABSTRACT

We investigate the conditions of entanglement for a system of two atoms and two photon modes in vacuum, using the Jaynes-Cummings model in the rotating-wave approximation. It is found, by generalizing the existing results, that the strength of entanglement is a periodic function of time. We explicitly show that our results are in agreement with the existing results of entanglement conditions under appropriate limits. Results for the two-atom and two-photon system are generalized to the case of arbitrary values for the atomic energies, corresponding to photon modes frequencies. Though it is apparently a generalization of the existing work, we have considered both the resonant and non-resonant conditions and found a general equation which could be true for both cases. Moreover, we show that periodicity of the entanglement is a distinct feature of resonant system. Considering the two atoms and two photons system, in detail, we develop a technique to study entanglement in many particle systems and the resulting master equation. It is therefore proposed that the entanglement may be used to control cavity losses. Moreover, knowing the entanglement conditions, we can increase the efficiency of quantum computers.

KEYWORDS
Quantum Entanglement, Jaynes-Cummings Model, Second Quantization, Non-resonant

Cite this paper
Samina S. Masood , Allen Miller . "Entanglement in a Jaynes-Cummings Model with Two Atoms and Two Photon Modes." Universal Journal of Physics and Application 8.5 (2014) 237 - 244. doi: 10.13189/ujpa.2014.020501.