Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator

Daigo Honda*, Hiromichi Nakazato, Motoyuki Yoshida

*この研究の対応する著者

研究成果: Article査読

12 被引用数 (Scopus)

抄録

A Lindblad master equation for a harmonic oscillator, which describes the dynamics of an open system, is formally solved. The solution yields the spectral resolution of the Liouvillian, that is, all eigenvalues and eigenprojections are obtained. This spectral resolution is discussed in depth in the context of the biorthogonal system and the rigged Hilbert space, and the contribution of each eigenprojection to expectation values of physical quantities is revealed. We also construct the ladder operators of the Liouvillian, which clarify the structure of the spectral resolution.

本文言語English
論文番号025006JMP
ジャーナルJournal of Mathematical Physics
51
7
DOI
出版ステータスPublished - 2010 7

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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