Nonlinear response theory on the Keldysh contour

Thorsten Hansen; Tönu Pullerits

doi:10.1088/0953-4075/45/15/154014

Nonlinear response theory on the Keldysh contour

Thorsten Hansen, Tönu Pullerits

Chemical Physics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	154014
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	45
Issue number	15
DOIs	https://doi.org/10.1088/0953-4075/45/15/154014
Publication status	Published - 2012

Bibliographical note

The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Chemical Physics (S) (011001060)

Subject classification (UKÄ)

Atom and Molecular Physics and Optics

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10.1088/0953-4075/45/15/154014

Cite this

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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.",

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N2 - 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.

AB - 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.

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DO - 10.1088/0953-4075/45/15/154014

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JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

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ER -

Nonlinear response theory on the Keldysh contour

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