Modelling of quantum electromechanical systems

Antti Pekka Jauho*, Tomáš Novotný, Andrea Donarini, Christian Flindt

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

We discuss methods for numerically solving the generalized Master equation GME which governs the time-evolution of the reduced density matrix ρ of a mechanically movable mesoscopic device in a dissipative environment. As a specific example, we consider the quantum shuttle - a generic quantum nanoelectromechanical system (NEMS). When expressed in the oscillator basis, the stationary limit of the GME becomes a large linear non-sparse matrix problem (characteristic size larger than 10 4 × 10 4) which however, as we show, can be treated using the Arnoldi iteration scheme. The numerical results are interpreted with the help of Wigner functions, and we compute the current and the noise in a few representative cases.

Original languageEnglish
Pages (from-to)367-371
Number of pages5
JournalJOURNAL OF COMPUTATIONAL ELECTRONICS
Volume3
Issue number3-4
DOIs
Publication statusPublished - Oct 2004
MoE publication typeA1 Journal article-refereed

Keywords

  • Coulomb blockade
  • Nanoelectromechanics
  • Noise
  • SET

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