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Experimental observation of the Poincare-Birkhoff scenario in a driven many-body quantum system

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Ketzmerick,  Roland
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Tomkovic, J., Muessel, W., Strobel, H., Loeck, S., Schlagheck, P., Ketzmerick, R., et al. (2017). Experimental observation of the Poincare-Birkhoff scenario in a driven many-body quantum system. Physical Review A, 95(1): 011602. doi:10.1103/PhysRevA.95.011602.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-5E17-0
Abstract
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 Poincare-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.