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:
-
- North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
- 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)
- 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. https://doi.org/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. https://doi.org/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 = {Fri May 13 00:00:00 EDT 2016},
month = {Fri May 13 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Nonequilibrium Dynamical Mean-Field Theory
journal, December 2006
- Freericks, J. K.; Turkowski, V. M.; Zlatić, V.
- Physical Review Letters, Vol. 97, Issue 26
Nonequilibrium dynamical mean-field theory and its applications
journal, June 2014
- Aoki, Hideo; Tsuji, Naoto; Eckstein, Martin
- Reviews of Modern Physics, Vol. 86, Issue 2
Electron-Mediated Relaxation Following Ultrafast Pumping of Strongly Correlated Materials: Model Evidence of a Correlation-Tuned Crossover between Thermal and Nonthermal States
journal, August 2013
- Moritz, B.; Kemper, A. F.; Sentef, M.
- Physical Review Letters, Vol. 111, Issue 7
Examining Electron-Boson Coupling Using Time-Resolved Spectroscopy
journal, December 2013
- Sentef, Michael; Kemper, Alexander F.; Moritz, Brian
- Physical Review X, Vol. 3, Issue 4
Ultrafast Separation of Photodoped Carriers in Mott Antiferromagnets
journal, August 2014
- Eckstein, Martin; Werner, Philipp
- Physical Review Letters, Vol. 113, Issue 7
Role of impact ionization in the thermalization of photoexcited Mott insulators
journal, December 2014
- Werner, Philipp; Held, Karsten; Eckstein, Martin
- Physical Review B, Vol. 90, Issue 23
Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations
journal, February 2016
- Eckstein, Martin; Werner, Philipp
- Scientific Reports, Vol. 6, Issue 1
Long and short time quantum dynamics: I. Between Green's functions and transport equations
journal, October 2005
- Špička, Václav; Velický, Bedřich; Kalvová, Anděla
- Physica E: Low-dimensional Systems and Nanostructures, Vol. 29, Issue 1-2
Long and short time quantum dynamics: II. Kinetic regime
journal, October 2005
- Špička, Václav; Velický, Bedřich; Kalvová, Anděla
- Physica E: Low-dimensional Systems and Nanostructures, Vol. 29, Issue 1-2
Long and short time quantum dynamics: III. Transients
journal, October 2005
- Špička, Václav; Velický, Bedřich; Kalvová, Anděla
- Physica E: Low-dimensional Systems and Nanostructures, Vol. 29, Issue 1-2
Mapping of unoccupied states and relevant bosonic modes via the time-dependent momentum distribution
journal, June 2013
- Kemper, A. F.; Sentef, M.; Moritz, B.
- Physical Review B, Vol. 87, Issue 23
Competition between the electronic and phonon–mediated scattering channels in the out–of–equilibrium carrier dynamics of semiconductors: an ab-initio approach
journal, March 2013
- Marini, Andrea
- Journal of Physics: Conference Series, Vol. 427
Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
journal, January 2015
- Murakami, Yuta; Werner, Philipp; Tsuji, Naoto
- Physical Review B, Vol. 91, Issue 4
Photoinduced changes in the cuprate electronic structure revealed by femtosecond time- and angle-resolved photoemission
journal, March 2014
- Rameau, J. D.; Freutel, S.; Rettig, L.
- Physical Review B, Vol. 89, Issue 11
Quasi-particles ultrafastly releasing kink bosons to form Fermi arcs in a cuprate superconductor
journal, January 2016
- Ishida, Y.; Saitoh, T.; Mochiku, T.
- Scientific Reports, Vol. 6, Issue 1
Long and short time quantum dynamics: III. Transients
journal, October 2005
- Špička, Václav; Velický, Bedřich; Kalvová, Anděla
- Physica E: Low-dimensional Systems and Nanostructures, Vol. 29, Issue 1-2
Effect of dynamical spectral weight redistribution on effective interactions in time-resolved spectroscopy
journal, August 2014
- Kemper, A. F.; Sentef, M. A.; Moritz, B.
- Physical Review B, Vol. 90, Issue 7
Dynamics of screening in photodoped Mott insulators
journal, November 2015
- Golež, Denis; Eckstein, Martin; Werner, Philipp
- Physical Review B, Vol. 92, Issue 19
Theoretical Description of Time-Resolved Photoemission Spectroscopy: Application to Pump-Probe Experiments
journal, March 2009
- Freericks, J. K.; Krishnamurthy, H. R.; Pruschke, Th.
- Physical Review Letters, Vol. 102, Issue 13
Works referencing / citing this record:
Review of the Theoretical Description of Time-Resolved Angle-Resolved Photoemission Spectroscopy in Electron-Phonon Mediated Superconductors: Review of the theoretical description of time-resolved angle-resolved photoemission spectroscopy ⋅⋅⋅
journal, July 2017
- Kemper, A. F.; Sentef, M. A.; Moritz, B.
- Annalen der Physik, Vol. 529, Issue 9
Theory of out-of-equilibrium ultrafast relaxation dynamics in metals
journal, November 2017
- Maldonado, Pablo; Carva, Karel; Flammer, Martina
- Physical Review B, Vol. 96, Issue 17
Nonequilibrium electron dynamics in pump-probe spectroscopy: Role of excited phonon populations
journal, December 2018
- Abdurazakov, O.; Nevola, D.; Rustagi, A.
- Physical Review B, Vol. 98, Issue 24
Nonequilibrium electron and lattice dynamics of strongly correlated Bi 2 Sr 2 CaCu 2 O 8+δ single crystals
journal, April 2018
- Konstantinova, Tatiana; Rameau, Jonathan D.; Reid, Alexander H.
- Science Advances, Vol. 4, Issue 4