Article thumbnail
Location of Repository

epl draft A Monte Carlo Method for Modeling Thermal Damping: Beyond the Brownian-Motion Master Equation

By Kurt Jacobs

Abstract

PACS 03.65.Yz – Decoherence; open systems; quantum statistical methods PACS 03.65.Ta – Foundations of quantum mechanics; measurement theory PACS 85.85.+j – Micro- and nano-electromechanical systems (MEMS/NEMS) and devices Abstract.- The “standard ” Brownian motion master equation, used to describe thermal damping, is not completely positive, and does not admit a Monte Carlo method, important in numerical simulations. To eliminate both these problems one must add a term that generates additional position diffusion. He we show that one can obtain a completely positive simple quantum Brownian motion, efficiently solvable, without any extra diffusion. This is achieved by using a stochastic Schrödinger equation (SSE), closely analogous to Langevin’s equation, that has no equivalent Markovian master equation. Considering a specific example, we show that this SSE is sensitive to nonlinearities in situations in which the master equation is not, and may therefore be a better model of damping for nonlinear systems. All mechanical oscillators experience frictional damping, in which they lose energy to their environment. This damping is accompanied by thermalization of the oscillator

OAI identifier: oai:CiteSeerX.psu:10.1.1.247.1235
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0807.4211... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.