English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Exact analytical solutions to the master equation of quantum Brownian motion for a general environment

Fleming, C. H., Roura, A., & Hu, B. L. (2011). Exact analytical solutions to the master equation of quantum Brownian motion for a general environment. Annals of Physics, 326(5), 1207-1258. doi:doi:10.1016/j.aop.2010.12.003.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-BC00-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-BC02-4
Genre: Journal Article

Files

show Files
hide Files
:
1004.1603 (Preprint), 4MB
Name:
1004.1603
Description:
File downloaded from arXiv at 2010-06-11 10:27
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
AoP326_1207.pdf (Any fulltext), 3MB
File Permalink:
-
Name:
AoP326_1207.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Fleming, C. H., Author
Roura, Albert1, Author              
Hu, B. L., Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

Content

show
hide
Free keywords: Quantum Physics, quant-ph
 Abstract: We revisit the model of a quantum Brownian oscillator linearly coupled to an environment of quantum oscillators at finite temperature. By introducing a compact and particularly well-suited formulation, we give a rather quick and direct derivation of the master equation and its solutions for general spectral functions and arbitrary temperatures. The flexibility of our approach allows for an immediate generalization to cases with an external force and with an arbitrary number of Brownian oscillators. More importantly, we point out an important mathematical subtlety concerning boundary-value problems for integro-differential equations which led to incorrect master equation coefficients and impacts on the description of nonlocal dissipation effects in all earlier derivations. Furthermore, we provide explicit, exact analytical results for the master equation coefficients and its solutions in a wide variety of cases, including ohmic, sub-ohmic and supra-ohmic environments with a finite cut-off.

Details

show
hide
Language(s):
 Dates: 2010-04-092011
 Publication Status: Published in print
 Pages: 83 pages, 14 figures; this paper is an evolution of
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1004.1603
URI: http://arxiv.org/abs/1004.1603
DOI: doi:10.1016/j.aop.2010.12.003
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Annals of Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Orlando, Fla. : Academic Press
Pages: - Volume / Issue: 326 (5) Sequence Number: - Start / End Page: 1207 - 1258 Identifier: ISSN: 0003-4916
CoNE: /journals/resource/954922644005