Breakdown of the few-level approximation in collective systems
The validity of the few-level approximation in dipole-dipole interacting collective systems is discussed. As an example system, we study the archetype case of two dipole-dipole interacting atoms, each modeled by two complete sets of angular momentum multiplets. We establish the breakdown of the few-...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2007
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| _version_ | 1797090578379309056 |
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| author | Kiffner, M Evers, J Keitel, C |
| author_facet | Kiffner, M Evers, J Keitel, C |
| author_sort | Kiffner, M |
| collection | OXFORD |
| description | The validity of the few-level approximation in dipole-dipole interacting collective systems is discussed. As an example system, we study the archetype case of two dipole-dipole interacting atoms, each modeled by two complete sets of angular momentum multiplets. We establish the breakdown of the few-level approximation by first proving the intuitive result that the dipole-dipole induced energy shifts between collective two-atom states depend on the length of the vector connecting the atoms, but not on its orientation, if complete and degenerate multiplets are considered. A careful analysis of our findings reveals that the simplification of the atomic level scheme by artificially omitting Zeeman sublevels in a few-level approximation generally leads to incorrect predictions. We find that this breakdown can be traced back to the dipole-dipole coupling of transitions with orthogonal dipole moments. Our interpretation enables us to identify special geometries in which partial few-level approximations to two- or three-level systems are valid. © 2007 The American Physical Society. |
| first_indexed | 2024-03-07T03:20:39Z |
| format | Journal article |
| id | oxford-uuid:b74e5378-1707-4068-96e1-4f942db46d2e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:20:39Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:b74e5378-1707-4068-96e1-4f942db46d2e2022-03-27T04:47:32ZBreakdown of the few-level approximation in collective systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b74e5378-1707-4068-96e1-4f942db46d2eEnglishSymplectic Elements at Oxford2007Kiffner, MEvers, JKeitel, CThe validity of the few-level approximation in dipole-dipole interacting collective systems is discussed. As an example system, we study the archetype case of two dipole-dipole interacting atoms, each modeled by two complete sets of angular momentum multiplets. We establish the breakdown of the few-level approximation by first proving the intuitive result that the dipole-dipole induced energy shifts between collective two-atom states depend on the length of the vector connecting the atoms, but not on its orientation, if complete and degenerate multiplets are considered. A careful analysis of our findings reveals that the simplification of the atomic level scheme by artificially omitting Zeeman sublevels in a few-level approximation generally leads to incorrect predictions. We find that this breakdown can be traced back to the dipole-dipole coupling of transitions with orthogonal dipole moments. Our interpretation enables us to identify special geometries in which partial few-level approximations to two- or three-level systems are valid. © 2007 The American Physical Society. |
| spellingShingle | Kiffner, M Evers, J Keitel, C Breakdown of the few-level approximation in collective systems |
| title | Breakdown of the few-level approximation in collective systems |
| title_full | Breakdown of the few-level approximation in collective systems |
| title_fullStr | Breakdown of the few-level approximation in collective systems |
| title_full_unstemmed | Breakdown of the few-level approximation in collective systems |
| title_short | Breakdown of the few-level approximation in collective systems |
| title_sort | breakdown of the few level approximation in collective systems |
| work_keys_str_mv | AT kiffnerm breakdownofthefewlevelapproximationincollectivesystems AT eversj breakdownofthefewlevelapproximationincollectivesystems AT keitelc breakdownofthefewlevelapproximationincollectivesystems |