Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium

Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium

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-lik...

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Main Author: Chan, Yeen Chia
Format: Thesis
Language:eng
eng
Published: 2016
Subjects:
QA Mathematics
Online Access:https://etd.uum.edu.my/6016/1/s812425_02.pdf
https://etd.uum.edu.my/6016/2/s812425_02.pdf
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institution Universiti Utara Malaysia
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language eng
eng
advisor Ibrahim, Haslinda
topic QA Mathematics
spellingShingle QA Mathematics
Chan, Yeen Chia
Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
description 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.
format Thesis
qualification_name masters
qualification_level Master's degree
author Chan, Yeen Chia
author_facet Chan, Yeen Chia
author_sort Chan, Yeen Chia
title Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
title_short Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
title_full Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
title_fullStr Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
title_full_unstemmed Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium
title_sort quantum system behaviour of jaynes-cummings model with kerr-like medium
granting_institution Universiti Utara Malaysia
granting_department Awang Had Salleh Graduate School of Arts & Sciences
publishDate 2016
url https://etd.uum.edu.my/6016/1/s812425_02.pdf
https://etd.uum.edu.my/6016/2/s812425_02.pdf
_version_ 1747828007551107072
spelling my-uum-etd.60162021-04-05T02:07:57Z Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium 2016 Chan, Yeen Chia Ibrahim, Haslinda Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduate School of Arts and Sciences QA Mathematics 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. 2016 Thesis https://etd.uum.edu.my/6016/ https://etd.uum.edu.my/6016/1/s812425_02.pdf text eng public https://etd.uum.edu.my/6016/2/s812425_02.pdf text eng public masters masters Universiti Utara Malaysia Abdalla, M. S., Khalil, E. M., Obada, A. F., Peřina, J., & Křepelka, J. (2015). Quantum statistical characteristics of the interaction between two two-level atoms and radiation field. The European Physical Journal Plus, 130(11), 1-19. doi: 10.1140/epjp/i2015-15227-9 Abdel-Aty, M., & Everitt, M. J. (2010). Delayed creation of entanglement in superconducting qubits interacting with a microwave field. The European Physical Journal B-Condensed Matter and Complex Systems, 74(1), 81-89. doi: 10.1140/epjb/e2010-00056-y Abdel-Aty, M., Larson, J., & Eleuch, H. (2010). 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