Chaos-induced depletion of a Bose-Einstein condensate
@article{Wanzenbock2020ChaosinducedDO, title={Chaos-induced depletion of a Bose-Einstein condensate}, author={Ralf Wanzenbock and Stefan Donsa and Harald Hofstatter and Othmar Koch and Peter Schlagheck and Iva Bvrezinov'a}, journal={arXiv: Quantum Gases}, year={2020} }
The mean-field limit of a bosonic quantum many-body system is described by (mostly) non-linear 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 $\lambda$. The question now is whether $\lambda$ imprints itself onto measurable observables of the underlying quantum many-body system even at finite particle numbers. Using a Bose-Einstein…
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