We uncover signatures of quantum chaos in the many-body dynamics of a Bose-Einstein condensate-based quantum ratchet in a toroidal trap. We propose measures including entanglement, condensate depletion, and spreading over a fixed basis in many-body Hilbert space which quantitatively identify the region in which quantum chaotic many-body dynamics occurs, where random matrix theory is limited or inaccessible. With these tools we show that many-body quantum chaos is neither highly entangled nor delocalized in the Hilbert space, contrary to conventionally expected signatures of quantum chaos.
@article{arxiv.1612.07716,
title = {Many-body Quantum Chaos and Entanglement in a Quantum Ratchet},
author = {Marc Andrew Valdez and Gavriil Shchedrin and Martin Heimsoth and Charles E. Creffield and Fernando Sols and Lincoln D. Carr},
journal= {arXiv preprint arXiv:1612.07716},
year = {2018}
}