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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/76813
Title: 
Non-Markovian expansion in quantum Brownian motion
Author(s): 
Institution: 
  • Universidade Federal do Rio de Janeiro (UFRJ)
  • Universidade Estadual Paulista (UNESP)
  • Universidade do Estado do Rio de Janeiro (UERJ)
ISSN: 
0378-4371
Abstract: 
We consider the non-Markovian Langevin evolution of a dissipative dynamical system in quantum mechanics in the path integral formalism. After discussing the role of the frequency cutoff for the interaction of the system with the heat bath and the kernel and noise correlator that follow from the most common choices, we derive an analytic expansion for the exact non-Markovian dissipation kernel and the corresponding colored noise in the general case that is consistent with the fluctuation-dissipation theorem and incorporates systematically non-local corrections. We illustrate the modifications to results obtained using the traditional (Markovian) Langevin approach in the case of the exponential kernel and analyze the case of the non-Markovian Brownian motion. We present detailed results for the free and the quadratic cases, which can be compared to exact solutions to test the convergence of the method, and discuss potentials of a general nonlinear form. © 2013 Elsevier B.V. All rights reserved.
Issue Date: 
9-Oct-2013
Citation: 
Physica A: Statistical Mechanics and its Applications.
Keywords: 
  • Brownian motion
  • Langevin dynamics
  • Non-Markovian processes
Source: 
http://dx.doi.org/10.1016/j.physa.2013.09.018
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/76813
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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