On the observation of nonclassical excitations in Bose–Einstein condensates
In the recent experimental and theoretical literature well-established nonclassicality criteria from the field of quantum optics have been directly applied to the case of excitations in matter-waves. Among these are violations of Cauchy–Schwarz inequalities, Glauber–Sudarshan P-nonclassicality, subP...
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| Format: | Article |
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IOP Publishing
2016
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| Online Access: | https://eprints.nottingham.ac.uk/40858/ |
| _version_ | 1848796148725186560 |
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| author | Finke, Andreas Jain, Piyush Weinfurtner, Silke |
| author_facet | Finke, Andreas Jain, Piyush Weinfurtner, Silke |
| author_sort | Finke, Andreas |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In the recent experimental and theoretical literature well-established nonclassicality criteria from the field of quantum optics have been directly applied to the case of excitations in matter-waves. Among these are violations of Cauchy–Schwarz inequalities, Glauber–Sudarshan P-nonclassicality, subPoissonian number-difference squeezing (also known as the two-mode variance) and the criterion of nonseparability. We review the strong connection of these criteria and their meaning in quantum optics, and point out differences in the interpretation between light and matter waves. We then calculate observables for a homogeneous Bose–Einstein condensate undergoing an arbitrary modulation in the interaction parameter at finite initial temperature, within both the quantum theory as well as a classical reference. We conclude that to date in experiments relevant for this scenario nonclassical effects have not conclusively been observed and conjecture that additional, noncommuting, observables have to be measured to this end. Moreover this has important implications for proposed analog gravity models where the observation of nonclassical effects is a major goal. |
| first_indexed | 2025-11-14T19:43:23Z |
| format | Article |
| id | nottingham-40858 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:23Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-408582020-05-04T18:21:58Z https://eprints.nottingham.ac.uk/40858/ On the observation of nonclassical excitations in Bose–Einstein condensates Finke, Andreas Jain, Piyush Weinfurtner, Silke In the recent experimental and theoretical literature well-established nonclassicality criteria from the field of quantum optics have been directly applied to the case of excitations in matter-waves. Among these are violations of Cauchy–Schwarz inequalities, Glauber–Sudarshan P-nonclassicality, subPoissonian number-difference squeezing (also known as the two-mode variance) and the criterion of nonseparability. We review the strong connection of these criteria and their meaning in quantum optics, and point out differences in the interpretation between light and matter waves. We then calculate observables for a homogeneous Bose–Einstein condensate undergoing an arbitrary modulation in the interaction parameter at finite initial temperature, within both the quantum theory as well as a classical reference. We conclude that to date in experiments relevant for this scenario nonclassical effects have not conclusively been observed and conjecture that additional, noncommuting, observables have to be measured to this end. Moreover this has important implications for proposed analog gravity models where the observation of nonclassical effects is a major goal. IOP Publishing 2016-11-08 Article PeerReviewed Finke, Andreas, Jain, Piyush and Weinfurtner, Silke (2016) On the observation of nonclassical excitations in Bose–Einstein condensates. New Journal of Physics, 18 (113017). pp. 1-14. ISSN 1367-2630 nonclassicality analogue gravity Bose–Einstein condensates Bogoliubov theory Gross-Pitaevskii equation parametric resonance quantum correlations http://iopscience.iop.org/article/10.1088/1367-2630/18/11/113017/meta doi:10.1088/1367-2630/18/11/113017 doi:10.1088/1367-2630/18/11/113017 |
| spellingShingle | nonclassicality analogue gravity Bose–Einstein condensates Bogoliubov theory Gross-Pitaevskii equation parametric resonance quantum correlations Finke, Andreas Jain, Piyush Weinfurtner, Silke On the observation of nonclassical excitations in Bose–Einstein condensates |
| title | On the observation of nonclassical excitations in Bose–Einstein condensates |
| title_full | On the observation of nonclassical excitations in Bose–Einstein condensates |
| title_fullStr | On the observation of nonclassical excitations in Bose–Einstein condensates |
| title_full_unstemmed | On the observation of nonclassical excitations in Bose–Einstein condensates |
| title_short | On the observation of nonclassical excitations in Bose–Einstein condensates |
| title_sort | on the observation of nonclassical excitations in bose–einstein condensates |
| topic | nonclassicality analogue gravity Bose–Einstein condensates Bogoliubov theory Gross-Pitaevskii equation parametric resonance quantum correlations |
| url | https://eprints.nottingham.ac.uk/40858/ https://eprints.nottingham.ac.uk/40858/ https://eprints.nottingham.ac.uk/40858/ |