A numerical method for generation of quantum noise and solution of generalized c-number quantum Langevin equation
Abstract
Based on a coherent state representation of noise operator and an ensemble averaging procedure we have recently developed [Phys. Rev. E {\bf 65}, 021109 (2002); {\it ibid.} 051106 (2002)] a scheme for quantum Brownian motion to derive the equations for time evolution of {\it true} probability distribution functions in -number phase space. We extend the treatment to develop a numerical method for generation of -number noise with arbitrary correlation and strength at any temperature, along with the solution of the associated generalized quantum Langevin equation. The method is illustrated with the help of a calculation of quantum mean first passage time in a cubic potential to demonstrate quantum Kramers turnover and quantum Arrhenius plot.
Keywords
Cite
@article{arxiv.cond-mat/0303059,
title = {A numerical method for generation of quantum noise and solution of generalized c-number quantum Langevin equation},
author = {Dhruba Banerjee and Bidhan Chandra Bag and Suman Kumar Banik and Deb Shankar Ray},
journal= {arXiv preprint arXiv:cond-mat/0303059},
year = {2007}
}
Comments
RevTex4, 13 pages, 4 figures