摘要
Based on the density operator's operator-sum representation recently obtained by Fan and Hu for a laser process (Opt. Commun., 2008, 281: 5571; Opt. Commun., 2009, 282: 932; Phys. Lett. B, 2008, 22: 2435), we derive the evolution law of Wigner operator, the law is concisely expressed in T exp[-2T(ate-(k-g)t - a.)(ae-(k-g)t a)]; where g the normally ordered form A(a,a*,t) = -T/π., and a are the cavity gain and the loss, respectively, and T - (a - g)(g-t-g - 2ge-2(k-g)t)-1. When 1 exp[-2(at a*)(a a)] which is the initial Wigner operator. Using this t = O, A(a,a*,t) →1/π , formalism the evolution law of Wigner functions in laser process can be directly obtained.
Based on the density operator's operator-sum representation recently obtained by Fan and Hu for a laser process (Opt. Commun., 2008, 281: 5571; Opt. Commun., 2009, 282: 932; Phys. Lett. B, 2008, 22: 2435), we derive the evolution law of Wigner operator, the law is concisely expressed in T exp[-2T(ate-(k-g)t - a.)(ae-(k-g)t a)]; where g the normally ordered form A(a,a*,t) = -T/π., and a are the cavity gain and the loss, respectively, and T - (a - g)(g-t-g - 2ge-2(k-g)t)-1. When 1 exp[-2(at a*)(a a)] which is the initial Wigner operator. Using this t = O, A(a,a*,t) →1/π , formalism the evolution law of Wigner functions in laser process can be directly obtained.