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Published on: September 5, 2019
Many-Body Quantum Chaos and Entanglement in a Quantum Ratchet
Marc Andrew Valdez1, Gavriil Shchedrin1, Martin Heimsoth1,2
1Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA.
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.
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