论文标题
HU-PAZ-ZHANG主方程的系数的分析评估:欧姆光谱密度,零温度和一致性检查
Analytical evaluation of the coefficients of the Hu-Paz-Zhang master equation: Ohmic spectral density, zero temperature, and consistency check
论文作者
论文摘要
我们以Lorentz-drude型欧米光谱密度在零温度下研究了HU,PAZ和Zhang的确切主方程,以使用量子谐波振荡器。该主方程在量子布朗运动和各种应用中起着重要作用。在本文中,我们对没有lindblad形式的非马克维亚主方程的系数进行了分析评估,这使我们能够研究溶液的一致性,固定密度算子的积极性以及模型参数的边界。
We investigate the exact master equation of Hu, Paz, and Zhang for a quantum harmonic oscillator at zero temperature with a Lorentz-Drude type Ohmic spectral density. This master equation plays an important role in the study of quantum Brownian motion and in various applications. In this paper, we give an analytical evaluation of the coefficients of this non-Markovian master equation without Lindblad form, which allows us to investigate consistencies of the solutions, the positivity of the stationary density operator, and the boundaries of the model's parameters.