Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
Marc Andrew Valdez, Gavriil Shchedrin, Martin Heimsoth, Charles E., Creffield, Fernando Sols, Lincoln D. Carr
TL;DR
This paper investigates quantum chaos in a Bose-Einstein condensate quantum ratchet, revealing that chaos can occur without high entanglement or delocalization, challenging traditional signatures of quantum chaos.
Contribution
It introduces new measures to identify quantum chaos in many-body systems where standard indicators are ineffective, providing a novel perspective on quantum chaotic dynamics.
Findings
Quantum chaos occurs without high entanglement or delocalization.
New measures effectively identify chaotic regions in many-body Hilbert space.
Contradicts conventional expectations of quantum chaos signatures.
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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