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Quantum Information Review

Phase Properties of a Multi-Photon Jaynes-Cummings Model

Chan Yeen Chia, Haslinda Ibrahim

Published Jun 28, 2014• 0 citations

Abstract

Phase properties are important in understanding quantum entanglement. Several studies have been carried out on the cases for one and two photon transitions. The effect of multi-photon transition on phase properties in Jaynes-Cummings model coupled with Kerr-medium is studied to further understand phase properties in larger system. This paper develops a model as well as compares the results for different photon transition numbers from one to five photon transition using Pegg-Barnett formalism based m easurement. From the developed model, it has been found that the phase state of the quantum system increases during both collapse and revival of photon transition when the Kerr effect increases. This findi ng shows the behavior of phase properties at higher photon transitions which can benefit further studies in quantum entanglement.

DOI: 10.12785/qir/020201

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Phase properties are important in understanding quantum entanglement. Several studies have been carried out on the cases for one and two photon transitions. The effect of multi-photon transition on phase properties in Jaynes-Cummings model coupled with Kerr-medium is studied to further understand phase properties in larger system. This paper develops a model as well as compares the results for different photon transition numbers from one to five photon transition using Pegg-Barnett formalism based m easurement. From the developed model, it has been found that the phase state of the quantum system increases during both collapse and revival of photon transition when the Kerr effect increases. This findi ng shows the behavior of phase properties at higher photon transitions which can benefit further studies in quantum entanglement.

Jaynes-Cummings model is widely used to represent a quantum system as it is able to explain quantum behaviour in a more accurate and simple way. To date, the study of Jaynes-Cummings model does not involve multi-photon transitions and also three-qubit quantum entanglement, both coupled with Kerr-like medium. Thus the main objective of this study is to discover new behaviour for quantum system under these two conditions coupled with Kerr-like medium. In achieving this objective, Jaynes-Cummings model is modified to include multi-photon transition and three-qubit quantum system coupling with Kerr-like medium. Under the multi-photon transition condition, Pegg-Barnett formalism is used to measure the quantum system behaviour in the modified Jaynes-Cummings model. The result shows that as the strength of the coupling increases, the quantum system behaviour becomes more active. However, as the number of photons transition increases, the influence from Kerr-like medium towards quantum system behaviour decreases. Next, under the three-qubit quantum system with one-photon transition condition, the three-qubit state interacts with Markovian and non-Markovian environments, both represented by Lorenztian spectral density. The lower bound concurrence is used to measure quantum entanglement robustness. Result shows that when Kerr-like medium coupling strength is increased for both Markovian and non-Markovian environments, the quantum entanglement are more robust. Concurrently, the influence of quantum entanglement robustness is reduced when dipole-dipole interaction is getting stronger. As a conclusion, this study discovered new quantum system behaviour under the influence of Kerr-like medium with potential application in quantum information processing.