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APS » Journals » Phys. Rev. Lett. » Volume 100 » Issue 24
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Phys. Rev. Lett. 100, 240501 (2008) [4 pages]

Exact Formula of the Distribution of Schmidt Eigenvalues for Dynamical Formation of Entanglement in Quantum Chaos

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Hiroto Kubotani*
Institute of Physics, Faculty of Engineering, Kanagawa University, Yokohama 221-8686, Japan

Satoshi Adachi†
Department of Physics, Faculty of Science, Tokyo Institute of Technology, Meguro 152-8550, Japan

Mikito Toda‡
Department of Physics, Faculty of Science, Nara Womens University, Nara 630-8506, Japan

Received 10 October 2007; published 17 June 2008

The exact formula of the one-level distribution of the Schmidt eigenvalues is obtained for dynamical formation of entanglement in quantum chaos. The formula is based on the random matrix theory of the fixed-trace ensemble, and is derived using the theory of the holonomic system of differential equations. We confirm that the formula describes the universality of the distribution of the Schmidt eigenvalues in quantum chaos.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.240501
DOI:
10.1103/PhysRevLett.100.240501
PACS:
03.67.Mn, 03.65.Ud, 03.65.Yz, 05.45.Mt

*kubotani@yukawa.kyoto-u.ac.jp

†adachi@aa.ap.titech.ac.jp

‡toda@ki-rin.phys.nara-wu.ac.jp

 
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