Semiclassical formulation of non-Markovian quantum Brownian motion

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• 作者：Werner Koch ; Frank Groß ; mann ; Joachim Ankerhold ; Jü ; rgen T. Stockburger
• 关键词：Dissipative quantum systems ; Stochastic Schrodinger equation ; Semiclassical approximation ; Non-Markovian dynamics
• 刊名：Physica E
• 出版年：2010
• 出版时间：January 2010
• 年：2010
• 卷：42
• 期：3
• 页码：388-393
• 全文大小：525 K

文摘

Recently it was shown [W. Koch, F. Grossmann, J.T. Stockburger, J. Ankerhold, Phys. Rev. Lett. 100 (2008) 230402] that a combination of an exact stochastic decomposition of non-Markovian dissipative quantum dynamics with the time-dependent semiclassical initial value formalism offers a powerful tool to describe quantum Brownian motion in domains of parameter space where other approaches fail. In particular, low temperatures, stronger friction, a wide range of spectral bath densities, and continuous nonlinear systems can be treated. Details of this formulation including its numerical implementation and the impact of non-Markovian phenomena are discussed for the exactly solvable case of a harmonic oscillator.