Bogoliubov theory for atom scattering into separate regions
We review the Bogoliubov theory in the context of recent experiments, where atoms are scattered from a Bose–Einstein condensate into two well-separated regions. We find the full dynamics of the pair-production process, calculate the first and second order correlation functions and show that the syst...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/16/1/013041 |
| _version_ | 1797751611060125696 |
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| author | T Wasak P Szańkowski R Bücker J Chwedeńczuk M Trippenbach |
| author_facet | T Wasak P Szańkowski R Bücker J Chwedeńczuk M Trippenbach |
| author_sort | T Wasak |
| collection | DOAJ |
| description | We review the Bogoliubov theory in the context of recent experiments, where atoms are scattered from a Bose–Einstein condensate into two well-separated regions. We find the full dynamics of the pair-production process, calculate the first and second order correlation functions and show that the system is ideally number-squeezed. We calculate the Fisher information to show how the entanglement between atoms from the two regions changes in time. We also provide a simple expression for the lower bound of the useful entanglement in the system in terms of the average number of scattered atoms and the number of modes they occupy. We then apply our theory to a recent ‘twin-beam’ experiment (Bücker et al 2011 Nature Phys. 7 608). The only numerical step of our semi-analytical description can be easily solved and does not require implementation of any stochastic methods. |
| first_indexed | 2024-03-12T16:51:03Z |
| format | Article |
| id | doaj.art-d85fa9e3522c40468959cb1a132d9b6c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:03Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-d85fa9e3522c40468959cb1a132d9b6c2023-08-08T11:20:45ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116101304110.1088/1367-2630/16/1/013041Bogoliubov theory for atom scattering into separate regionsT Wasak0P Szańkowski1R Bücker2J Chwedeńczuk3M Trippenbach4Faculty of Physics, University of Warsaw , ulica Hoża 69, PL-00-681 Warszawa, PolandFaculty of Physics, University of Warsaw , ulica Hoża 69, PL-00-681 Warszawa, PolandVienna Center for Quantum Science and Technology, Atominstitut , TU Wien, Stadionallee 2, A-1020 Vienna, Austria; Max Planck Institute for the Structure and Dynamics of Matter , Luruper Chaussee 149, Building 99 (CFEL), D-22761 Hamburg, GermanyFaculty of Physics, University of Warsaw , ulica Hoża 69, PL-00-681 Warszawa, PolandFaculty of Physics, University of Warsaw , ulica Hoża 69, PL-00-681 Warszawa, PolandWe review the Bogoliubov theory in the context of recent experiments, where atoms are scattered from a Bose–Einstein condensate into two well-separated regions. We find the full dynamics of the pair-production process, calculate the first and second order correlation functions and show that the system is ideally number-squeezed. We calculate the Fisher information to show how the entanglement between atoms from the two regions changes in time. We also provide a simple expression for the lower bound of the useful entanglement in the system in terms of the average number of scattered atoms and the number of modes they occupy. We then apply our theory to a recent ‘twin-beam’ experiment (Bücker et al 2011 Nature Phys. 7 608). The only numerical step of our semi-analytical description can be easily solved and does not require implementation of any stochastic methods.https://doi.org/10.1088/1367-2630/16/1/013041 |
| spellingShingle | T Wasak P Szańkowski R Bücker J Chwedeńczuk M Trippenbach Bogoliubov theory for atom scattering into separate regions New Journal of Physics |
| title | Bogoliubov theory for atom scattering into separate regions |
| title_full | Bogoliubov theory for atom scattering into separate regions |
| title_fullStr | Bogoliubov theory for atom scattering into separate regions |
| title_full_unstemmed | Bogoliubov theory for atom scattering into separate regions |
| title_short | Bogoliubov theory for atom scattering into separate regions |
| title_sort | bogoliubov theory for atom scattering into separate regions |
| url | https://doi.org/10.1088/1367-2630/16/1/013041 |
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