Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
arXiv:1612.07716 · doi:10.1103/PhysRevLett.120.234101
Abstract
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.
arXiv comment6 pages, 3 figures. 1 table
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