• DocumentCode
    2900064
  • Title

    Bohmian formulation of Full Counting Statistics in mesoscopic systems

  • Author

    Albareda, G. ; Traversa, F.L. ; Oriols, X.

  • Author_Institution
    Dept. d´´Eng. Electron., Univ. Autonoma de Barcelona, Barcelona, Spain
  • fYear
    2011
  • fDate
    12-16 June 2011
  • Firstpage
    246
  • Lastpage
    249
  • Abstract
    Predicting time-dependent current correlations in mesoscopic systems represents a challenge to theorists because it requires the ability to reproduce sequential measurements, i.e. unitary (Schrödinger-like) and non-unitary (collapse-like) evolutions of the quantum systems. On the contrary, Bohmian formulation of quantum theory, in terms of quantum trajectories guided by waves, by construction, exactly reproduces all quantum phenomena (even correlations) without needing to invoke the role of the operators in the system´s measurement. Here, by simply highlighting the operatorless character of Bohmian mechanics, we show that the conceptual difficulties associated to sequential measurements, when electron transport is formulated within the orthodox quantum mechanics, can be substituted by a practical difficulty in the reduction of the degrees of freedom associated to open mesoscopic systems, when the problem is formulated within Bohmian mechanics.
  • Keywords
    Schrodinger equation; mesoscopic systems; quantum theory; statistics; Bohmian formulation; Bohmian mechanics; Schrodinger-like evolutions; degrees of freedom; electron transport; full counting statistics; mesoscopic systems; nonunitary evolutions; orthodox quantum mechanics; quantum systems; quantum theory; quantum trajectories; Correlation; Current measurement; Mechanical variables measurement; Noise; Quantum mechanics; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Noise and Fluctuations (ICNF), 2011 21st International Conference on
  • Conference_Location
    Toronto, ON
  • Print_ISBN
    978-1-4577-0189-4
  • Type

    conf

  • DOI
    10.1109/ICNF.2011.5994313
  • Filename
    5994313