Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration
Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other...
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| Autor*in: |
Singh, Sudha [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
Rotating wave approximation (RWA) |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2011 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of theoretical physics - Springer US, 1968, 51(2011), 3 vom: 05. Okt., Seite 838-851 |
|---|---|
| Übergeordnetes Werk: |
volume:51 ; year:2011 ; number:3 ; day:05 ; month:10 ; pages:838-851 |
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| DOI / URN: |
10.1007/s10773-011-0962-0 |
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OLC2052378170 |
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| 520 | |a Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. | ||
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| 650 | 4 | |a Two-mode k-photon interaction (2k interaction) ladder model | |
| 650 | 4 | |a Intensity dependent coupling | |
| 650 | 4 | |a Atomic population inversion | |
| 650 | 4 | |a ( | |
| 650 | 4 | |a ) | |
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10.1007/s10773-011-0962-0 doi (DE-627)OLC2052378170 (DE-He213)s10773-011-0962-0-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Singh, Sudha verfasserin aut Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. Jaynes-Cummings (J-C) model Rotating wave approximation (RWA) Unitary operator Two-mode ladder model Two-mode k-photon interaction (2k interaction) ladder model Intensity dependent coupling Atomic population inversion ( ) Enthalten in International journal of theoretical physics Springer US, 1968 51(2011), 3 vom: 05. Okt., Seite 838-851 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:51 year:2011 number:3 day:05 month:10 pages:838-851 https://doi.org/10.1007/s10773-011-0962-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 51 2011 3 05 10 838-851 |
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10.1007/s10773-011-0962-0 doi (DE-627)OLC2052378170 (DE-He213)s10773-011-0962-0-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Singh, Sudha verfasserin aut Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. Jaynes-Cummings (J-C) model Rotating wave approximation (RWA) Unitary operator Two-mode ladder model Two-mode k-photon interaction (2k interaction) ladder model Intensity dependent coupling Atomic population inversion ( ) Enthalten in International journal of theoretical physics Springer US, 1968 51(2011), 3 vom: 05. Okt., Seite 838-851 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:51 year:2011 number:3 day:05 month:10 pages:838-851 https://doi.org/10.1007/s10773-011-0962-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 51 2011 3 05 10 838-851 |
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10.1007/s10773-011-0962-0 doi (DE-627)OLC2052378170 (DE-He213)s10773-011-0962-0-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Singh, Sudha verfasserin aut Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. Jaynes-Cummings (J-C) model Rotating wave approximation (RWA) Unitary operator Two-mode ladder model Two-mode k-photon interaction (2k interaction) ladder model Intensity dependent coupling Atomic population inversion ( ) Enthalten in International journal of theoretical physics Springer US, 1968 51(2011), 3 vom: 05. Okt., Seite 838-851 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:51 year:2011 number:3 day:05 month:10 pages:838-851 https://doi.org/10.1007/s10773-011-0962-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 51 2011 3 05 10 838-851 |
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10.1007/s10773-011-0962-0 doi (DE-627)OLC2052378170 (DE-He213)s10773-011-0962-0-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Singh, Sudha verfasserin aut Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. Jaynes-Cummings (J-C) model Rotating wave approximation (RWA) Unitary operator Two-mode ladder model Two-mode k-photon interaction (2k interaction) ladder model Intensity dependent coupling Atomic population inversion ( ) Enthalten in International journal of theoretical physics Springer US, 1968 51(2011), 3 vom: 05. Okt., Seite 838-851 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:51 year:2011 number:3 day:05 month:10 pages:838-851 https://doi.org/10.1007/s10773-011-0962-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 51 2011 3 05 10 838-851 |
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10.1007/s10773-011-0962-0 doi (DE-627)OLC2052378170 (DE-He213)s10773-011-0962-0-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Singh, Sudha verfasserin aut Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2011 Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. Jaynes-Cummings (J-C) model Rotating wave approximation (RWA) Unitary operator Two-mode ladder model Two-mode k-photon interaction (2k interaction) ladder model Intensity dependent coupling Atomic population inversion ( ) Enthalten in International journal of theoretical physics Springer US, 1968 51(2011), 3 vom: 05. Okt., Seite 838-851 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:51 year:2011 number:3 day:05 month:10 pages:838-851 https://doi.org/10.1007/s10773-011-0962-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 51 2011 3 05 10 838-851 |
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Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration |
| abstract |
Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. © Springer Science+Business Media, LLC 2011 |
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Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. © Springer Science+Business Media, LLC 2011 |
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Abstract In the present paper, the eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained in two generalized Jaynes Cummings models separately, one in which the transition are mediated by two different modes of photon in the ladder configuration and the other involving two mode multi-photon interaction between the field and the atom. Effect of intensity dependent coupling between the field and the atom in both the above-mentioned cases have been investigated. Graphical features of the time dependence of population inversion have been analyzed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. The unitary transformation method presented here for the special case of exact resonance not only solves the time-dependent problem but also provides the eigensolutions of the interacting Hamiltonian at the same time. © Springer Science+Business Media, LLC 2011 |
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Exact Solutions for Jaynes-Cummings Models with Non-degenerate Two-Photon Transitions in the Ladder Configuration |
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