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Portrait of Tönu Pullerits; Photo: Kennet Ruona

Tönu Pullerits

Professor

Portrait of Tönu Pullerits; Photo: Kennet Ruona

Adiabatic elimination and subspace evolution of open quantum systems

Author

  • Daniel Finkelstein-Shapiro
  • David Viennot
  • Ibrahim Saideh
  • Thorsten Hansen
  • Tõnu Pullerits
  • Arne Keller

Summary, in English

Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non-trace-preserving character of the evolution. We illustrate our results with two different systems, one where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we show that the two models converge for very large dissipation and at coherent population trapping points. Our results also provide an intuitive picture of the correction to the trace of the density matrix as a detailed balance equation.

Department/s

  • NanoLund: Center for Nanoscience
  • Chemical Physics
  • eSSENCE: The e-Science Collaboration

Publishing year

2020-04-01

Language

English

Publication/Series

Physical Review A

Volume

101

Issue

4

Document type

Journal article

Publisher

American Physical Society

Topic

  • Computational Mathematics
  • Control Engineering
  • Atom and Molecular Physics and Optics

Status

Published

ISBN/ISSN/Other

  • ISSN: 2469-9926