Quantum to classical transition induced by a classically small influence
Zhao Wen-Lei1, †, Jie Quanlin2
       

Purity P versus time with K2 = 0 (circles), 0.03 (triangles), 0.05 (diamonds), 0.09 (pentagrams), and 0.12 (squares). Dashed lines (in blue) denote the fitting function of the form P∝t−η . Dashed-dotted (in red) line indicates the exponential fitting P∝exp(−γt) . The parameters are K1 = 5, m = 0.01, ℏ = 10−4, ε = 20ℏ, λ = 10, and L = π.