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Phonon-Induced Decoherence in Electron Evolution

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Large-Scale Scientific Computing (LSSC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7116))

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Abstract

A Monte Carlo analysis of the evolution of an electron interacting with phonons is presented in terms of a Wigner function. The initial electron state is constructed by a superposition of two wave packets and a pronounced interference term. The results show that phonons effectively destroy the interference term. The initial coherence in wave vector distribution is pushed towards the equilibrium distribution. Phonons hinder the natural spread of the density with time and advance it towards a classical localization. The decoherence effect due to phonons, which brings about the transition from a quantum to a classical state, is demonstrated by the purity of the state, which decreases from its initial value of 1, with a rate depending on the lattice temperature.

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References

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Author information

Authors and Affiliations

  1. Institute for Microelectronics, TU Wien, Gußhausstraße 27-29/E360, A-1040, Vienna, Austria

    Philipp Schwaha, Mihail Nedjalkov & Siegfried Selberherr

  2. Shenteq s.r.o., Záhradnícka 7, 811 07, Bratislava, Slovak Republic

    Philipp Schwaha

  3. Institute of Information and Communication Technlogies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl25A, 1113, Sofia, Bulgaria

    Mihail Nedjalkov & Ivan Dimov

Authors
  1. Philipp Schwaha
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  2. Mihail Nedjalkov
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  3. Siegfried Selberherr
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  4. Ivan Dimov
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Block 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov  & Svetozar Margenov  & 

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads, Building 321,, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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© 2012 Springer-Verlag Berlin Heidelberg

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Schwaha, P., Nedjalkov, M., Selberherr, S., Dimov, I. (2012). Phonon-Induced Decoherence in Electron Evolution. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_53

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  • DOI: https://doi.org/10.1007/978-3-642-29843-1_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29842-4

  • Online ISBN: 978-3-642-29843-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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