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Portrait of Tönu Pullerits; Photo: Kennet Ruona

Tönu Pullerits

Professor

Portrait of Tönu Pullerits; Photo: Kennet Ruona

Nonlinear response theory on the Keldysh contour

Author

  • Thorsten Hansen
  • Tönu Pullerits

Summary, in English

Following the work of Schwinger (1961 J. Math. Phys 2 407), we present a general method for deriving quantum response functions on a closed-loop contour in the complex time plane. We focus on optical response functions of linear to third order and demonstrate by projecting contour time onto the real axis how they connect to Liouville space pathways. This work highlights the close connection between the Keldysh contour and the double-sided Feynman diagrams used in nonlinear optical spectroscopy. In addition, we give a Keldysh contour derivation of the Marcus equation for electron transfer.

Department/s

  • Chemical Physics

Publishing year

2012

Language

English

Publication/Series

Journal of Physics B: Atomic, Molecular and Optical Physics

Volume

45

Issue

15

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Atom and Molecular Physics and Optics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0953-4075