Experimental observation of the Poincaré-Birkhoff scenario in a driven many-body quantum system
Accessing the connection between classical chaos and quantum many-body systems has been a long-standing experimental challenge. Here, we investigate the onset of chaos in periodically driven two-component Bose-Einstein condensates, whose small quantum uncertainties allow for exploring the phase spac...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
12 January 2017
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| In: |
Physical review
Year: 2017, Volume: 95, Issue: 1 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.95.011602 |
| Online Access: | Verlag, Pay-per-use, Volltext: http://dx.doi.org/10.1103/PhysRevA.95.011602 Verlag, Pay-per-use, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.95.011602 
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| Author Notes: | J. Tomkovič, W. Muessel, H. Strobel, S. Löck, P. Schlagheck, R. Ketzmerick, and M.K. Oberthaler |
| Summary: | Accessing the connection between classical chaos and quantum many-body systems has been a long-standing experimental challenge. Here, we investigate the onset of chaos in periodically driven two-component Bose-Einstein condensates, whose small quantum uncertainties allow for exploring the phase space with high resolution. By analyzing the uncertainties of time-evolved many-body states, we find signatures of elliptic and hyperbolic periodic orbits generated according to the Poincaré-Birkhoff theorem, and the formation of a chaotic region at increasing driving strengths. The employed fluctuation analysis allows for probing the phase-space structure by use of only short-time quantum dynamics. |
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| Item Description: | Gesehen am 28.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.95.011602 |