Solutions of two-mode Jaynes-Cummings models
Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Singh, Sudha [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2008 |
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| Schlagwörter: |
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| Anmerkung: |
© Indian Academy of Sciences 2008 |
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| Übergeordnetes Werk: |
Enthalten in: Pramāna - Springer-Verlag, 1973, 70(2008), 5 vom: Mai, Seite 887-900 |
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| Übergeordnetes Werk: |
volume:70 ; year:2008 ; number:5 ; month:05 ; pages:887-900 |
| Links: |
|---|
| DOI / URN: |
10.1007/s12043-008-0097-x |
|---|
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OLC2076051295 |
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| 520 | |a Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. | ||
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| 650 | 4 | |a atomic population inversion | |
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10.1007/s12043-008-0097-x doi (DE-627)OLC2076051295 (DE-He213)s12043-008-0097-x-p DE-627 ger DE-627 rakwb eng 530 VZ Singh, Sudha verfasserin aut Solutions of two-mode Jaynes-Cummings models 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2008 Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. Jaynes-Cummings (J-C) model rotating wave approximation (RWA) unitary operator two-mode Raman model two-mode -photon interaction (2 interaction) model intensity-dependent coupling atomic population inversion ( ) Sinha, Ashalata aut Enthalten in Pramāna Springer-Verlag, 1973 70(2008), 5 vom: Mai, Seite 887-900 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:70 year:2008 number:5 month:05 pages:887-900 https://doi.org/10.1007/s12043-008-0097-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_4012 AR 70 2008 5 05 887-900 |
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10.1007/s12043-008-0097-x doi (DE-627)OLC2076051295 (DE-He213)s12043-008-0097-x-p DE-627 ger DE-627 rakwb eng 530 VZ Singh, Sudha verfasserin aut Solutions of two-mode Jaynes-Cummings models 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2008 Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. Jaynes-Cummings (J-C) model rotating wave approximation (RWA) unitary operator two-mode Raman model two-mode -photon interaction (2 interaction) model intensity-dependent coupling atomic population inversion ( ) Sinha, Ashalata aut Enthalten in Pramāna Springer-Verlag, 1973 70(2008), 5 vom: Mai, Seite 887-900 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:70 year:2008 number:5 month:05 pages:887-900 https://doi.org/10.1007/s12043-008-0097-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_4012 AR 70 2008 5 05 887-900 |
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10.1007/s12043-008-0097-x doi (DE-627)OLC2076051295 (DE-He213)s12043-008-0097-x-p DE-627 ger DE-627 rakwb eng 530 VZ Singh, Sudha verfasserin aut Solutions of two-mode Jaynes-Cummings models 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2008 Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. Jaynes-Cummings (J-C) model rotating wave approximation (RWA) unitary operator two-mode Raman model two-mode -photon interaction (2 interaction) model intensity-dependent coupling atomic population inversion ( ) Sinha, Ashalata aut Enthalten in Pramāna Springer-Verlag, 1973 70(2008), 5 vom: Mai, Seite 887-900 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:70 year:2008 number:5 month:05 pages:887-900 https://doi.org/10.1007/s12043-008-0097-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_4012 AR 70 2008 5 05 887-900 |
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10.1007/s12043-008-0097-x doi (DE-627)OLC2076051295 (DE-He213)s12043-008-0097-x-p DE-627 ger DE-627 rakwb eng 530 VZ Singh, Sudha verfasserin aut Solutions of two-mode Jaynes-Cummings models 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2008 Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. Jaynes-Cummings (J-C) model rotating wave approximation (RWA) unitary operator two-mode Raman model two-mode -photon interaction (2 interaction) model intensity-dependent coupling atomic population inversion ( ) Sinha, Ashalata aut Enthalten in Pramāna Springer-Verlag, 1973 70(2008), 5 vom: Mai, Seite 887-900 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:70 year:2008 number:5 month:05 pages:887-900 https://doi.org/10.1007/s12043-008-0097-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_4012 AR 70 2008 5 05 887-900 |
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10.1007/s12043-008-0097-x doi (DE-627)OLC2076051295 (DE-He213)s12043-008-0097-x-p DE-627 ger DE-627 rakwb eng 530 VZ Singh, Sudha verfasserin aut Solutions of two-mode Jaynes-Cummings models 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Indian Academy of Sciences 2008 Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. Jaynes-Cummings (J-C) model rotating wave approximation (RWA) unitary operator two-mode Raman model two-mode -photon interaction (2 interaction) model intensity-dependent coupling atomic population inversion ( ) Sinha, Ashalata aut Enthalten in Pramāna Springer-Verlag, 1973 70(2008), 5 vom: Mai, Seite 887-900 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:70 year:2008 number:5 month:05 pages:887-900 https://doi.org/10.1007/s12043-008-0097-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_4012 AR 70 2008 5 05 887-900 |
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Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. © Indian Academy of Sciences 2008 |
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Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. © Indian Academy of Sciences 2008 |
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Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state. © Indian Academy of Sciences 2008 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2076051295</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506022101.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2008 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s12043-008-0097-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2076051295</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s12043-008-0097-x-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Singh, Sudha</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Solutions of two-mode Jaynes-Cummings models</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2008</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Indian Academy of Sciences 2008</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A simple procedure to solve two fully quantized non-linear Jaynes-Cummings models is presented, one in which an atom interacts with a two-mode radiation field in a Raman-type process and the other involving multiphoton interaction between the two-mode field and the atom. Effect of intensity-dependent coupling between the field and the atom in both the above-mentioned cases has also been investigated. The unitary transformation method presented here not only solves the time-dependent problem but also permits a determination of the eigensolutions of the interacting Hamiltonian at the same time. Graphical features of the time dependence of the population inversion have been analysed when one of the field modes is prepared initially in a coherent state while the other one in a vacuum state.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Jaynes-Cummings (J-C) model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">rotating wave approximation (RWA)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">unitary operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">two-mode Raman model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">two-mode</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-photon interaction (2</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">interaction) model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">intensity-dependent coupling</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">atomic population inversion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">(</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">)</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sinha, Ashalata</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Pramāna</subfield><subfield code="d">Springer-Verlag, 1973</subfield><subfield code="g">70(2008), 5 vom: Mai, Seite 887-900</subfield><subfield code="w">(DE-627)129403342</subfield><subfield code="w">(DE-600)186949-8</subfield><subfield code="w">(DE-576)014785102</subfield><subfield code="x">0304-4289</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:70</subfield><subfield code="g">year:2008</subfield><subfield code="g">number:5</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:887-900</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s12043-008-0097-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">70</subfield><subfield code="j">2008</subfield><subfield code="e">5</subfield><subfield code="c">05</subfield><subfield code="h">887-900</subfield></datafield></record></collection>
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