Quantum position diffusion and its implications for the quantum linear Boltzmann equation

Kamleitner, I; Cresser, J

doi:10.1103/PHYSREVA.81.012107

Title: Quantum position diffusion and its implications for the quantum linear Boltzmann equation

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Abstract

We derive a quantum linear Boltzmann equation from first principles to describe collisional friction, diffusion, and decoherence in a unified framework. In doing so, we discover that the previously celebrated quantum contribution to position diffusion is not a true physical process, but rather an artifact of the use of a coarse-grained time scale necessary to derive Markovian dynamics.

Authors:

Kamleitner, I; Cresser, J ^[1]

Centre for Quantum Computer Technology, Physics Department, Macquarie University, Sydney, New South Wales 2109 (Australia)

Publication Date:: Fri Jan 15 00:00:00 EST 2010

OSTI Identifier:: 21408144

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.81.012107; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN EQUATION; DIFFUSION; FRICTION; MARKOV PROCESS; QUANTUM MECHANICS; DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; STOCHASTIC PROCESSES

Citation Formats


                    Kamleitner, I, and Cresser, J. Quantum position diffusion and its implications for the quantum linear Boltzmann equation.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.012107.

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                    Kamleitner, I, & Cresser, J. Quantum position diffusion and its implications for the quantum linear Boltzmann equation.  United States.  https://doi.org/10.1103/PHYSREVA.81.012107

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                    Kamleitner, I, and Cresser, J. 2010.  
        "Quantum position diffusion and its implications for the quantum linear Boltzmann equation".  United States.  https://doi.org/10.1103/PHYSREVA.81.012107.

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@article{osti_21408144,

  title        = {Quantum position diffusion and its implications for the quantum linear Boltzmann equation},

  author       = {Kamleitner, I and Cresser, J},

  abstractNote = {We derive a quantum linear Boltzmann equation from first principles to describe collisional friction, diffusion, and decoherence in a unified framework. In doing so, we discover that the previously celebrated quantum contribution to position diffusion is not a true physical process, but rather an artifact of the use of a coarse-grained time scale necessary to derive Markovian dynamics.},

  doi          = {10.1103/PHYSREVA.81.012107},

  url          = {https://www.osti.gov/biblio/21408144},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 1,

  volume       = 81,

  place        = {United States},

  year         = {Fri Jan 15 00:00:00 EST 2010},

  month        = {Fri Jan 15 00:00:00 EST 2010}

}

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https://doi.org/10.1103/PHYSREVA.81.012107

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