skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Entropy
DOI:https://doi.org/10.3390/e18050180· OSTI ID:1287497
 [1];  [2]
  1. North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
  2. Georgetown Univ., Washington, DC (United States). Dept. of Physics
+ Show Author Affiliations

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.

Research Organization:
Georgetown Univ., Washington, DC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-08ER46542; AC02-05CH11231
OSTI ID:
1287497
Journal Information:
Entropy, Vol. 18, Issue 5; ISSN 1099-4300
Publisher:
MDPICopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

References (18)

Nonequilibrium Dynamical Mean-Field Theory journal December 2006
Nonequilibrium dynamical mean-field theory and its applications journal June 2014
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
Examining Electron-Boson Coupling Using Time-Resolved Spectroscopy journal December 2013
Ultrafast Separation of Photodoped Carriers in Mott Antiferromagnets journal August 2014
Role of impact ionization in the thermalization of photoexcited Mott insulators journal December 2014
Ultra-fast photo-carrier relaxation in Mott insulators with short-range spin correlations journal February 2016
Long and short time quantum dynamics: I. Between Green's functions and transport equations journal October 2005
Long and short time quantum dynamics: II. Kinetic regime journal October 2005
Long and short time quantum dynamics: III. Transients journal October 2005
Mapping of unoccupied states and relevant bosonic modes via the time-dependent momentum distribution journal June 2013
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
Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation journal January 2015
Photoinduced changes in the cuprate electronic structure revealed by femtosecond time- and angle-resolved photoemission journal March 2014
Quasi-particles ultrafastly releasing kink bosons to form Fermi arcs in a cuprate superconductor journal January 2016
Effect of dynamical spectral weight redistribution on effective interactions in time-resolved spectroscopy journal August 2014
Dynamics of screening in photodoped Mott insulators journal November 2015
Theoretical Description of Time-Resolved Photoemission Spectroscopy: Application to Pump-Probe Experiments journal March 2009

Cited By (4)

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
Theory of out-of-equilibrium ultrafast relaxation dynamics in metals journal November 2017
Nonequilibrium electron dynamics in pump-probe spectroscopy: Role of excited phonon populations journal December 2018
Nonequilibrium electron and lattice dynamics of strongly correlated Bi 2 Sr 2 CaCu 2 O 8+δ single crystals journal April 2018

Similar Records

Surface hopping with a manifold of electronic states. II. Application to the many-body Anderson-Holstein model
Journal Article · Sat Feb 28 00:00:00 EST 2015 · Journal of Chemical Physics · OSTI ID:1287497
Nonequilibrium electron dynamics in pump-probe spectroscopy: Role of excited phonon populations
Journal Article · Fri Dec 07 00:00:00 EST 2018 · Physical Review B · OSTI ID:1287497
+3 more
Self-consistent Maxwell-Bloch theory of quantum-dot-population switching in photonic crystals
Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A · OSTI ID:1287497

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
population dynamics
non-equilibrium Keldysh
scattering integrals
field theory