Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion

A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent...
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Autor*in:	Abdallah A. Nahla [verfasserIn] M. M. A. Ahmed [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	su(1; 1) quantum system two two-level atoms atom–atom interaction perelomov coherent state atomic population inversion

Übergeordnetes Werk:	In: Journal of Taibah University for Science - Taylor & Francis Group, 2016, 13(2019), 1, Seite 309-317
Übergeordnetes Werk:	volume:13 ; year:2019 ; number:1 ; pages:309-317

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DOI / URN:	10.1080/16583655.2019.1573466

Katalog-ID:	DOAJ038677695

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520			\|a A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes.
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allfields	10.1080/16583655.2019.1573466 doi (DE-627)DOAJ038677695 (DE-599)DOAJ98e262e1faf540cbb999107fe53ecb2f DE-627 ger DE-627 rakwb eng Q1-390 Abdallah A. Nahla verfasserin aut Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes. su(1; 1) quantum system two two-level atoms atom–atom interaction perelomov coherent state atomic population inversion Science (General) M. M. A. Ahmed verfasserin aut In Journal of Taibah University for Science Taylor & Francis Group, 2016 13(2019), 1, Seite 309-317 (DE-627)835589021 (DE-600)2834710-9 16583655 nnns volume:13 year:2019 number:1 pages:309-317 https://doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/article/98e262e1faf540cbb999107fe53ecb2f kostenfrei http://dx.doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/toc/1658-3655 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2019 1 309-317
spelling	10.1080/16583655.2019.1573466 doi (DE-627)DOAJ038677695 (DE-599)DOAJ98e262e1faf540cbb999107fe53ecb2f DE-627 ger DE-627 rakwb eng Q1-390 Abdallah A. Nahla verfasserin aut Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes. su(1; 1) quantum system two two-level atoms atom–atom interaction perelomov coherent state atomic population inversion Science (General) M. M. A. Ahmed verfasserin aut In Journal of Taibah University for Science Taylor & Francis Group, 2016 13(2019), 1, Seite 309-317 (DE-627)835589021 (DE-600)2834710-9 16583655 nnns volume:13 year:2019 number:1 pages:309-317 https://doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/article/98e262e1faf540cbb999107fe53ecb2f kostenfrei http://dx.doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/toc/1658-3655 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2019 1 309-317
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allfieldsSound	10.1080/16583655.2019.1573466 doi (DE-627)DOAJ038677695 (DE-599)DOAJ98e262e1faf540cbb999107fe53ecb2f DE-627 ger DE-627 rakwb eng Q1-390 Abdallah A. Nahla verfasserin aut Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes. su(1; 1) quantum system two two-level atoms atom–atom interaction perelomov coherent state atomic population inversion Science (General) M. M. A. Ahmed verfasserin aut In Journal of Taibah University for Science Taylor & Francis Group, 2016 13(2019), 1, Seite 309-317 (DE-627)835589021 (DE-600)2834710-9 16583655 nnns volume:13 year:2019 number:1 pages:309-317 https://doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/article/98e262e1faf540cbb999107fe53ecb2f kostenfrei http://dx.doi.org/10.1080/16583655.2019.1573466 kostenfrei https://doaj.org/toc/1658-3655 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 13 2019 1 309-317
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callnumber-first	Q - Science
author	Abdallah A. Nahla
spellingShingle	Abdallah A. Nahla misc Q1-390 misc su(1; 1) quantum system misc two two-level atoms misc atom–atom interaction misc perelomov coherent state misc atomic population inversion misc Science (General) Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion
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topic_title	Q1-390 Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion su(1; 1) quantum system two two-level atoms atom–atom interaction perelomov coherent state atomic population inversion
topic	misc Q1-390 misc su(1; 1) quantum system misc two two-level atoms misc atom–atom interaction misc perelomov coherent state misc atomic population inversion misc Science (General)
topic_unstemmed	misc Q1-390 misc su(1; 1) quantum system misc two two-level atoms misc atom–atom interaction misc perelomov coherent state misc atomic population inversion misc Science (General)
topic_browse	misc Q1-390 misc su(1; 1) quantum system misc two two-level atoms misc atom–atom interaction misc perelomov coherent state misc atomic population inversion misc Science (General)
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title	Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion
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title_full	Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion
author_sort	Abdallah A. Nahla
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title_sort	sensitivity measurement for asymmetric two two-level atoms interacting with field obeys su(1,1) lie group via atomic inversion
callnumber	Q1-390
title_auth	Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion
abstract	A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes.
abstractGer	A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes.
abstract_unstemmed	A quantum optics model of the asymmetric case of the interaction between two two-level atoms and quantum field, which obeys SU(1,1) Lie group, is proposed. The atom-atom interaction and the rotating wave approximation are suggested in the Hamiltonian operator. Our aim is to obtain the time-dependent wave function of asymmetric case analytically. The analytical method is based on the eigenvalues and corresponding eigenvectors of the coefficient matrix of the interaction Hamiltonian operator. The SU(1,1) quantum system is initially in the Perelomov coherent state. Therefore, the atomic inversion is obtained and discussed for different values of model parameters such as initial atomic angles, Perelomov coherent, the Bargmann index and the detuning parameters. Observe that the quantum optics model is sensitive to the variation in both the Perelomov coherent parameter and the Bargmann index. In addition, there are nonclassical properties of the proposed quantum model in the presence the detuning parameter changes.
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title_short	Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion
url	https://doi.org/10.1080/16583655.2019.1573466 https://doaj.org/article/98e262e1faf540cbb999107fe53ecb2f http://dx.doi.org/10.1080/16583655.2019.1573466 https://doaj.org/toc/1658-3655
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Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1,1) Lie group via atomic inversion

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