Damping Law of Classical Weyl Correspondence of Density Operator in Amplitude Dessipative Channel

作者：Wei, Xiangfei; Song, Jun; Liu, Xiangyuan; He, Rui^*; Fan, Hongyi

来源：International Journal of Theoretical Physics, 2017, 56(11): 3534-3542.

DOI：10.1007/s10773-017-3518-0

• Amplitude dessipative channel
• Weyl-Wigner quantization
• Wigner operator

For developing quantum mechanics theory in phase space, we expolre how does an initial density operator rho (0)'s classical Weyl correspondence function h(0) evolve into h(t) in a damping channel. We derive the following integration transformation that relating them @@@ h(t)(alpha, alpha*) = 2/T integral d(2)beta/pi h(0)(beta, beta*)exp[-2/T (alpha* - beta*e(-kappa t))(alpha - beta e(-kappa t))] @@@ this is the damping law of classical Weyl correspondence of density operator in amplitude dessipative channel. The integration method within Weyl ordered product of operators and Wigner operator's Wel ordering form Delta(alpha, alpha*) = 1/2 delta(alpha* - a(dagger)) (alpha - a) is essential to our derivation.

• 出版日期2017-11
• 单位皖西学院; 中国科学技术大学