Efficient low-temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model

X Dan, M Xu, JT Stockburger, J Ankerhold, Q Shi - Physical Review B, 2023 - APS
The hierarchical equations of motion (HEOM) approach is an accurate method to simulate
open system quantum dynamics, which allows for systematic convergence to numerically …

Generalized master equation for charge transport in a molecular junction: Exact memory kernels and their high order expansion

X Dan, M Xu, Y Yan, Q Shi - The Journal of Chemical Physics, 2022 - pubs.aip.org
We derive a set of generalized master equations (GMEs) to study charge transport dynamics
in molecular junctions using the Nakajima–Zwanzig–Mori projection operator approach. In …

Numerically exact full counting statistics of the energy current in the Kondo regime

M Ridley, M Galperin, E Gull, G Cohen - Physical Review B, 2019 - APS
We use the inchworm quantum Monte Carlo method to investigate the full counting statistics
of particle and energy currents in a strongly correlated quantum dot. Our method is used to …

Single-impurity Anderson model out of equilibrium: A two-particle semianalytic approach

J Yan, V Janiš - Physical Review B, 2022 - APS
We apply a two-particle semianalytic approach to a single Anderson impurity attached to two
biased metallic leads. The theory is based on reduced parquet equations justified in critical …

Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes

NW Talarico, S Maniscalco, NL Gullo - Physical Review B, 2020 - APS
We derive an expression for the rate of change of the energy of an interacting many-body
system connected to macroscopic leads. We show that the energy variation is the sum of …

[HTML][HTML] A complete quasiclassical map for the dynamics of interacting fermions

A Levy, W Dou, E Rabani, DT Limmer - The Journal of chemical …, 2019 - pubs.aip.org
We present a strategy for mapping the dynamics of a fermionic quantum system to a set of
classical dynamical variables. The approach is based on imposing the correspondence …

IV characteristics of the single quantum dot within impurity Anderson model: the role of correlation regime

MK Shamer, JM Al-Mukh - Indian Journal of Physics, 2024 - Springer
Charge current through a single quantum dot coupled to a source and drain with an applied
bias voltage is studied. The current–voltage characteristics are calculated using our …

[PDF][PDF] CORRELATED OPEN QUANTUM SYSTEMS

NW Talarico - core.ac.uk
Non-equilibrium in broad and simple terms relates to every individual physical system and
phenomena that are far from the so called equilibrium, from Latin aequi and libra, well …