Reference : Observing the emergence of chaos in a many-particle quantum system
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Physical, chemical, mathematical & earth Sciences : Physics
Observing the emergence of chaos in a many-particle quantum system
Tomkovic, Jiri []
Muessel, Wolfgang []
Strobel, Helmut []
Löck, Steffen []
Schlagheck, Peter mailto [Université de Liège > Département de physique > Physique quantique statistique >]
Ketzmerick, Roland []
Oberthaler, Markus []
[en] 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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