[en] The mean-field limit of a bosonic quantum many-body system is described by (mostly) nonlinear equations of motion which may exhibit chaos very much in the spirit of classical particle chaos, i.e., by an exponential separation of trajectories in Hilbert space with a rate given by a positive Lyapunov exponent λ. The question now is whether λ imprints itself onto measurable observables of the underlying quantum many-body system even at finite particle numbers. Using a Bose-Einstein condensate expanding in a shallow potential landscape as a paradigmatic example for a bosonic quantum many-body system, we show that the system loses its coherence at an exponentially fast rate. Furthermore, we show that the rate is given by the Lyapunov exponent associated with the chaotic mean-field dynamics. Finally, we demonstrate that this chaos-induced loss of coherence imprints itself onto the visibility of interference fringes in the total density after time of flight, thus, opening the possibility to measure λ and with it the interplay between chaos and nonequilibrium quantum matter in a real experiment.
Disciplines :
Physics
Author, co-author :
Wanzenböck, R.
Donsa, S.
Hofstätter, H.
Koch, O.
Schlagheck, Peter ; Université de Liège - ULiège > Département de physique > Physique quantique statistique
Březinová, I.
Language :
English
Title :
Chaos-induced loss of coherence of a Bose-Einstein condensate
Publication date :
2021
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, United States - Maryland
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