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Title: Relationship between population dynamics and the self-energy in driven non-equilibrium systems

Abstract

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. Furthermore, 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.

Authors:
 [1];  [2]
  1. North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
  2. Georgetown Univ., Washington, DC (United States). Dept. of Physics
Publication Date:
Research Org.:
Georgetown Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1287497
Grant/Contract Number:  
FG02-08ER46542; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Entropy
Additional Journal Information:
Journal Volume: 18; Journal Issue: 5; Journal ID: ISSN 1099-4300
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; population dynamics; non-equilibrium Keldysh; scattering integrals; field theory

Citation Formats

Kemper, Alexander F., and Freericks, James K. Relationship between population dynamics and the self-energy in driven non-equilibrium systems. United States: N. p., 2016. Web. doi:10.3390/e18050180.
Kemper, Alexander F., & Freericks, James K. Relationship between population dynamics and the self-energy in driven non-equilibrium systems. United States. doi:10.3390/e18050180.
Kemper, Alexander F., and Freericks, James K. Fri . "Relationship between population dynamics and the self-energy in driven non-equilibrium systems". United States. doi:10.3390/e18050180. https://www.osti.gov/servlets/purl/1287497.
@article{osti_1287497,
title = {Relationship between population dynamics and the self-energy in driven non-equilibrium systems},
author = {Kemper, Alexander F. and Freericks, James K.},
abstractNote = {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. Furthermore, 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.},
doi = {10.3390/e18050180},
journal = {Entropy},
number = 5,
volume = 18,
place = {United States},
year = {2016},
month = {5}
}

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Cited by: 4 works
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