Exact formula of the distribution of Schmidt eigenvalues for dynamical formation of entanglement in quantum chaos.
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.
Kubotani
Hiroto
H
Institute of Physics, Faculty of Engineering, Kanagawa University, Yokohama 221-8686, Japan. kubotani@yukawa.kyoto-u.ac.jp
Adachi
Satoshi
S
Toda
Mikito
M