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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: Tomkovič, Jiří (Author) , Müssel, Wolfgang (Author) , Strobel, Helmut (Author) , Oberthaler, Markus K. (Author)
Format: Article (Journal)
Language:English
Published: 12 January 2017
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

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520 |a 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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