Physics – Quantum Physics
Scientific paper
2003-02-03
J. Phys. Soc. Jpn. Suppl. C 72 (2003) 111
Physics
Quantum Physics
4 pages, 5 figures, submitted to the Waseda International Symposium on Fundamental Physics
Scientific paper
We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the entanglement production rate which is defined by using the linear entropy of the subsystem. This formula predicts that {\it the increment of the strength of chaos does not enhance the production rate of entanglement} when the coupling is weak enough and the subsystems are strongly chaotic. The prediction is confirmed by numerical experiments for coupled kicked tops and rotors. We also discuss the entanglement production using the Husimi representation of the reduced density matrix.
Fujisaki Hiroshi
Miyadera Takayuki
Tanaka Atushi
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