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.Comment: 6 pages, 3 figures. 1 tabl

Carr, Lincoln D.

Creffield, Charles E.

Heimsoth, Martin

Shchedrin, Gavriil

Sols, Fernando

Valdez, Marc Andrew

Physical Review Letters

English

arXiv

© 2018 American Physical Society.
We thank Diego Alcala, Daniel Jaschke, and Marie Mclain for their useful discussions. This material is based in part upon work supported by the U.S. National Science Foundation under Grants No. PHY-1520915, No. OAC1740130, the U.S. Air Force Office of Scientific Research Grant No. FA9550-14-1-0287, and the U.K. Engineering and Physical Sciences Research Council (EPSRC) through the “Quantum Science with Ultracold Molecules” Programme (Grant No. EP/P01058X/1). This work was performed in part at the Aspen Center for Physics, which is supported by the U.S. National Science Foundation Grant No. PHY-1607611. This work has also been supported by Spain’s MINECO through Grants No. FIS2010-21372 and No. FIS2013-41716-P. L. D. C. thanks Complutense University for hosting his visit to support the work contained in this Letter. The calculations in this Letter were executed on the high performance computing cluster maintained by the Golden Energy Computing Organization at the Colorado School of Mines.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.Ministerio de Economía y Competitividad (MINECO)U.S. National Science FoundationU.S. Air Force Office of Scientific Research GrantU.K. Engineering and Physical Sciences Research Council (EPSRC) through the "Quantum Science with Ultracold Molecules" ProgrammeDepto. de Física de MaterialesFac. de Ciencias FísicasTRUEpu

Many-body Quantum Chaos and Entanglement in a Quantum Ratchet

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