Initial correlated states for the Generalized Kadanoff--Baym Ansatz without adiabatic switching-on of interactions in closed systems

Abstract

We reconsider the Generalized Kadanoff--Baym Ansatz (GKBA) approximation for non-equilibrium Green's functions and extend it to self-consistently define an equilibrium correlated (within GKBA) state in closed systems. The advantage of the proposed prescription is to avoid the preparation of the initial equilibrium correlated state via adiabatic switching-on of the correlations. A simple model system, namely a Hubbard-dimer, is used to illustrate aspects of the computational implementation and performance of the new scheme.

arXiv comment9 pages, 2 figures, contribution to the volume "Non-equilibrium dynamics," proceedings of the FQMT'17 conference, to appear in EPJST

References in corpus (16)

• Conserving approximations in time-dependent quantum transport: Initial correlations and memory effects
• Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters
• Charge dynamics in molecular junctions: Nonequilibrium Green's Function approach made fast
• Hubbard nanoclusters far from equilibrium
• Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A comparison of the nonequilibrium Green functions approach and the density matrix renormalization group method
• Ab initio transport results for strongly correlated fermions
• Nonequilibrium Green's functions approach to strongly correlated few-electron quantum dots
• Slow Dynamics in a Two-Dimensional Anderson-Hubbard Model
• Time-dependent many-body treatment of electron-boson dynamics: application to plasmon-accompanied photoemission
• Charge separation in donor-C60 complexes with real-time Green's functions: The importance of nonlocal correlations
• Non-equilibrium Green's function approach to inhomogeneous quantum many-body systems using the Generalized Kadanoff Baym Ansatz
• The Generalized Kadanoff-Baym Ansatz with Initial Correlations
• Molecular junctions and molecular motors: Including Coulomb repulsion in electronic friction using nonequilibrium Green's functions
• Spectral properties from Matsubara Green's function approach - application to molecules
• Merging Features from Green's Functions and Time Dependent Density Functional Theory: A Route to the Description of Correlated Materials out of Equilibrium?
• Comment on "On the unphysical solutions of the Kadanoff--Baym equations in linear response: Correlation-induced homogeneous density-distribution and attractors"

Cited by in corpus (12)

• Achieving the Ultimate Scaling Limit for Nonequilibrium Green Functions Simulations
• Fast Green's function method for ultrafast electron-boson dynamics
• The G1--G2 Scheme: Dramatic Acceleration of Nonequilibrium Green Functions Simulations Within the Hartree--Fock-GKBA
• Green's function methods for single molecule junctions
• Ultrafast Dynamics of Strongly Correlated Fermions -- Nonequilibrium Green Functions and Selfenergy Approximations
• Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Electronic transport in molecular junctions: The generalized Kadanoff-Baym ansatz with initial contact and correlations
• Accelerating Nonequilibrium Green functions simulations: the G1-G2 scheme and beyond
• Efficient computation of the second-Born self-energy using tensor-contraction operations
• Interacting electrons in a flat-band system within the Generalized Kadanoff-Baym Ansatz
• Discrete-time construction of nonequilibrium path integrals on the Kostantinov-Perel' time contour