Nonlinear response theory on the Keldysh contour

TY - JOUR

T1 - Nonlinear response theory on the Keldysh contour

AU - Hansen, Thorsten

AU - Pullerits, Tõnu

PY - 2012/8/14

Y1 - 2012/8/14

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.

UR - http://www.scopus.com/inward/record.url?scp=84864451643&partnerID=8YFLogxK

U2 - 10.1088/0953-4075/45/15/154014

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

M3 - Journal article

AN - SCOPUS:84864451643

SN - 0953-4075

VL - 45

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

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

IS - 15

M1 - 154014

ER -