Perturbative Treatment of the Evolution Operator Associated with Raman Couplings
A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective Hamiltonian describes the system dynamics up to a certa...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146173 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings / B. Militello, P. Aniello, A. Messina // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730407386021888 |
|---|---|
| author | Militello, B. Aniello, P. Messina, A. |
| author_facet | Militello, B. Aniello, P. Messina, A. |
| citation_txt | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings / B. Militello, P. Aniello, A. Messina // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective Hamiltonian describes the system dynamics up to a certain transformation which may be interpreted as a 'dynamical dressing' of the effective model.
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| first_indexed | 2025-12-07T19:20:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146173 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:20:00Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Militello, B. Aniello, P. Messina, A. 2019-02-07T20:11:43Z 2019-02-07T20:11:43Z 2006 Perturbative Treatment of the Evolution Operator Associated with Raman Couplings / B. Militello, P. Aniello, A. Messina // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 16 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q15; 81V10; 81V45 https://nasplib.isofts.kiev.ua/handle/123456789/146173 A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective Hamiltonian describes the system dynamics up to a certain transformation which may be interpreted as a 'dynamical dressing' of the effective model. The main results of the paper where presented by one of us (B.M.) during the international conference Symmetry in Nonlinear Mathematical Physics (June 20–26, 2005, Kyiv). The authors wish to thank the kind organizers. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Perturbative Treatment of the Evolution Operator Associated with Raman Couplings Article published earlier |
| spellingShingle | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings Militello, B. Aniello, P. Messina, A. |
| title | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings |
| title_full | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings |
| title_fullStr | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings |
| title_full_unstemmed | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings |
| title_short | Perturbative Treatment of the Evolution Operator Associated with Raman Couplings |
| title_sort | perturbative treatment of the evolution operator associated with raman couplings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146173 |
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