Universality in dynamical formation of entanglement for quantum chaos

2005/08/03 by Hiroto Kubotani, Mikito Toda, Satoshi Adachi · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1103/physreva.74.032314

4 pages, 5 figures; submitted to Phys. Rev. Lett

arxiv created 2005/08/03 · openalex publication_date 2006/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Dynamical formation of entanglement is studied for quantum chaotic biparticle systems. We find that statistical properties of the Schmidt eigenvalues for strong chaos are well described by the random matrix theory of the Laguerre unitary ensemble. This implies that entanglement formation for quantum chaos has universal properties, and does not depend on specific aspects of the systems.

Citations

• Entanglement production in coupled chaotic systems: Case of the kicked tops
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Environment-induced superselection rules
• On the Einstein Podolsky Rosen paradox

Cited by

• Statistical bounds on the dynamical production of entanglement