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  Nonequilibrium fluctuation-dissipation inequality and nonequilibrium uncertainty principle

Fleming, C. H., Hu, B. L., & Roura, A. (2013). Nonequilibrium fluctuation-dissipation inequality and nonequilibrium uncertainty principle. Physical Review E, 88(1): 012102. doi:10.1103/PhysRevE.88.012102.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D1B4-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-14AA-1
Genre: Journal Article
Other : Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle

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1012.0681 (Preprint), 279KB
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 Creators:
Fleming, C. H., Author
Hu, B. L., Author
Roura, Albert1, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Quantum Physics, quant-ph
 Abstract: The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for an open quantum system interacting with a non-equilibrium environment, where temperature is no longer a valid notion, a fluctuation-dissipation inequality exists. Clearly stated, quantum fluctuations are bounded below by quantum dissipation, whereas classically the fluctuations can be made to vanish. The lower bound of this inequality is exactly satisfied by (zero-temperature) quantum noise and is in accord with the Heisenberg uncertainty principle, both in its microscopic origins and its influence upon systems. Moreover, it is shown that the non-equilibrium fluctuation-dissipation relation determines the non-equilibrium uncertainty relation in the weak-damping limit.

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 Dates: 2010-12-032013
 Publication Status: Published in print
 Pages: 6 pages, no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1012.0681
DOI: 10.1103/PhysRevE.88.012102
 Degree: -

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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 88 (1) Sequence Number: 012102 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: /journals/resource/954925225012