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Entropy 2016, 18(5), 180;

Relationship between Population Dynamics and the Self-Energy in Driven Non-Equilibrium Systems

Department of Physics, North Carolina State University, Raleigh, NC 27695, USA
Department of Physics, Georgetown University, Washington, DC 20057, USA
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Martin Eckstein
Received: 4 April 2016 / Revised: 4 May 2016 / Accepted: 9 May 2016 / Published: 13 May 2016
(This article belongs to the Special Issue Quantum Nonequilibrium Dynamics)
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We compare the decay rates of excited populations directly calculated within a Keldysh formalism to the equation of motion of the population itself for a Hubbard-Holstein model in two dimensions. While it is true that these two approaches must give the same answer, it is common to make a number of simplifying assumptions, within the differential equation for the populations, that allows one to interpret the decay in terms of hot electrons interacting with a phonon bath. Here, we show how care must be taken to ensure an accurate treatment of the equation of motion for the populations due to the fact that there are identities that require cancellations of terms that naively look like they contribute to the decay rates. In particular, the average time dependence of the Green’s functions and self-energies plays a pivotal role in determining these decay rates. View Full-Text
Keywords: population dynamics; non-equilibrium Keldysh; scattering integrals population dynamics; non-equilibrium Keldysh; scattering integrals

Figure 1

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Kemper, A.F.; Freericks, J.K. Relationship between Population Dynamics and the Self-Energy in Driven Non-Equilibrium Systems. Entropy 2016, 18, 180.

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