Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Author: Chan, Yeen Chia
Format: Thesis
Language:English
English
Published: 2016
Subjects:
QA Mathematics
Online Access:http://etd.uum.edu.my/6016/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.uum.etd.6016
record_format eprints
spelling my.uum.etd.60162021-04-05T02:07:57Z http://etd.uum.edu.my/6016/ Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium Chan, Yeen Chia 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 NonPeerReviewed text en /6016/1/s812425_02.pdf text en /6016/2/s812425_02.pdf Chan, Yeen Chia (2016) Quantum system behaviour of Jaynes-Cummings model with Kerr-like medium. Masters thesis, Universiti Utara Malaysia.
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Electronic Theses
url_provider http://etd.uum.edu.my/
language English
English
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
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
publishDate 2016
url http://etd.uum.edu.my/6016/
_version_ 1696978304727252992
score 13.211869

Similar Items