Self-consistent projection operator theory for quantum many-body systems

Peter Degenfeld-Schonburg, Michael J. Hartmann

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)
92 Downloads (Pure)


We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient analytical and numerical approach. Besides its practical use it provides an interpretation and systematic extension of mean-field approaches and an adaption of open quantum systems theory to settings where a dynamically evolving environment has to be taken into account. We show its high accuracy for two significant classes of complex quantum many-body dynamics, unitary evolutions of nonequilibrium states in closed and stationary states in driven-dissipative systems.

Original languageEnglish
Article number245108
JournalPhysical Review B: Condensed Matter and Materials Physics
Issue number24
Publication statusPublished - 9 Jun 2014

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials


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