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arXiv · 1509.01809

Observing the emergence of chaos in a many-particle quantum system

J. Tomkovič·W. Muessel·H. Strobel·S. Löck·P. Schlagheck·R. Ketzmerick·M. K. Oberthaler
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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 Poincar\'e-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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J. Tomkovič, W. Muessel, H. Strobel, S. Löck, P. Schlagheck, R. Ketzmerick, M. K. Oberthaler. 2015-09-06. Observing the emergence of chaos in a many-particle quantum system. https://arxiv.org/abs/1509.01809

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