A numerical method for generation of quantum noise and solution of generalized c-number quantum Langevin equation

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dc.creatorBanerjee, Dhruba
dc.creatorBag, Bidhan Chandra
dc.creatorBanik, Suman Kumar
dc.creatorRay, Deb Shankar
dc.date2003-03-04
dc.date.accessioned2026-07-07T02:49:59Z
dc.date.available2026-07-07T02:49:59Z
dc.descriptionBased 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 $c$-number phase space. We extend the treatment to develop a numerical method for generation of $c$-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.
dc.descriptionRevTex4, 13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0303059
dc.identifierhttp://arxiv.org/abs/cond-mat/0303059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20970
dc.subjectStatistical Mechanics
dc.subjectChemical Physics
dc.subjectQuantum Physics
dc.titleA numerical method for generation of quantum noise and solution of generalized c-number quantum Langevin equation
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