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Nonlinear response theory on the Keldysh contour

Hansen, Thorsten LU and Pullerits, Tönu LU (2012) In Journal of Physics B: Atomic, Molecular and Optical Physics 45(15).
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics B: Atomic, Molecular and Optical Physics
volume
45
issue
15
publisher
IOP Publishing
external identifiers
  • wos:000307018400015
  • scopus:84864451643
ISSN
0953-4075
DOI
10.1088/0953-4075/45/15/154014
language
English
LU publication?
yes
id
51c2a557-0745-4baf-98ec-5e52dd85938d (old id 3073576)
date added to LUP
2012-09-25 14:59:44
date last changed
2017-03-05 03:50:37
@article{51c2a557-0745-4baf-98ec-5e52dd85938d,
  abstract     = {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.},
  articleno    = {154014},
  author       = {Hansen, Thorsten and Pullerits, Tönu},
  issn         = {0953-4075},
  language     = {eng},
  number       = {15},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics B: Atomic, Molecular and Optical Physics},
  title        = {Nonlinear response theory on the Keldysh contour},
  url          = {http://dx.doi.org/10.1088/0953-4075/45/15/154014},
  volume       = {45},
  year         = {2012},
}