Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms
We show that the dipole-dipole interaction between two Rydberg atoms can lead to substantial Abelian and non-Abelian gauge fields acting on the relative motion of the two atoms. We demonstrate how the gauge fields can be evaluated by numerical techniques. In the case of adiabatic motion in a single...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2013
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| _version_ | 1797106279494189056 |
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| author | Kiffner, M Li, W Jaksch, D |
| author_facet | Kiffner, M Li, W Jaksch, D |
| author_sort | Kiffner, M |
| collection | OXFORD |
| description | We show that the dipole-dipole interaction between two Rydberg atoms can lead to substantial Abelian and non-Abelian gauge fields acting on the relative motion of the two atoms. We demonstrate how the gauge fields can be evaluated by numerical techniques. In the case of adiabatic motion in a single internal state, we show that the gauge fields give rise to a magnetic field that results in a Zeeman splitting of the rotational states. In particular, the ground state of a molecular potential well is given by the first excited rotational state. We find that our system realizes a synthetic spin-orbit coupling where the relative atomic motion couples to two internal two-atom states. The associated gauge fields are non-Abelian. © 2013 IOP Publishing Ltd. |
| first_indexed | 2024-03-07T06:59:28Z |
| format | Journal article |
| id | oxford-uuid:ff3c6e15-e05f-4246-a388-19a8e20ddea4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:59:28Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:ff3c6e15-e05f-4246-a388-19a8e20ddea42022-03-27T13:43:16ZAbelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atomsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ff3c6e15-e05f-4246-a388-19a8e20ddea4EnglishSymplectic Elements at Oxford2013Kiffner, MLi, WJaksch, DWe show that the dipole-dipole interaction between two Rydberg atoms can lead to substantial Abelian and non-Abelian gauge fields acting on the relative motion of the two atoms. We demonstrate how the gauge fields can be evaluated by numerical techniques. In the case of adiabatic motion in a single internal state, we show that the gauge fields give rise to a magnetic field that results in a Zeeman splitting of the rotational states. In particular, the ground state of a molecular potential well is given by the first excited rotational state. We find that our system realizes a synthetic spin-orbit coupling where the relative atomic motion couples to two internal two-atom states. The associated gauge fields are non-Abelian. © 2013 IOP Publishing Ltd. |
| spellingShingle | Kiffner, M Li, W Jaksch, D Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title | Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title_full | Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title_fullStr | Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title_full_unstemmed | Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title_short | Abelian and non-Abelian gauge fields in dipole-dipole interacting Rydberg atoms |
| title_sort | abelian and non abelian gauge fields in dipole dipole interacting rydberg atoms |
| work_keys_str_mv | AT kiffnerm abelianandnonabeliangaugefieldsindipoledipoleinteractingrydbergatoms AT liw abelianandnonabeliangaugefieldsindipoledipoleinteractingrydbergatoms AT jakschd abelianandnonabeliangaugefieldsindipoledipoleinteractingrydbergatoms |