General non-Markovian dynamics of open quantum systems

WM Zhang, PY Lo, HN **ong, MWY Tu, F Nori - Physical review letters, 2012 - APS
We present a general theory of non-Markovian dynamics for open systems of noninteracting
fermions (bosons) linearly coupled to thermal environments of noninteracting fermions …

Taming the dynamical sign problem in real-time evolution of quantum many-body problems

G Cohen, E Gull, DR Reichman, AJ Millis - Physical review letters, 2015 - APS
Current nonequilibrium Monte Carlo methods suffer from a dynamical sign problem that
makes simulating real-time dynamics for long times exponentially hard. We propose a new …

Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach

J **, X Zheng, YJ Yan - The Journal of chemical physics, 2008 - pubs.aip.org
A generalized quantum master equation theory that governs the exact, nonperturbative
quantum dissipation and quantum transport is formulated in terms of hierarchically coupled …

Quantum Monte Carlo method in the steady state

A Erpenbeck, E Gull, G Cohen - Physical Review Letters, 2023 - APS
We present a numerically exact steady-state inchworm Monte Carlo method for
nonequilibrium quantum impurity models. Rather than propagating an initial state to long …

Non-Markovian decoherence theory for a double-dot charge qubit

MWY Tu, WM Zhang - Physical Review B—Condensed Matter and Materials …, 2008 - APS
In this paper, we develop a nonperturbation theory for describing decoherence dynamics of
electron charges in a double quantum dot gated by electrodes. We extend the Feynman …

Molecular optoelectronics: the interaction of molecular conduction junctions with light

M Galperin, A Nitzan - Physical Chemistry Chemical Physics, 2012 - pubs.rsc.org
The interaction of light with molecular conduction junctions is attracting growing interest as a
challenging experimental and theoretical problem on one hand, and because of its potential …

Quantum master equation for electron transport through quantum dots and single molecules

U Harbola, M Esposito, S Mukamel - Physical Review B—Condensed Matter …, 2006 - APS
A quantum master equation (QME) is derived for the many-body density matrix of an open
current-carrying system weakly-coupled to two metal leads. The dynamics and the steady …

Steady-State Currents through Nanodevices: A Scattering-States Numerical<? format?> Renormalization-Group Approach to Open Quantum Systems

FB Anders - Physical review letters, 2008 - APS
We propose a numerical renormalization group (NRG) approach to steady-state currents
through nanodevices. A discretization of the scattering-states continuum ensures the correct …

Decoherence and lead-induced interdot coupling in nonequilibrium electron transport through interacting quantum dots: A hierarchical quantum master equation …

R Haertle, G Cohen, DR Reichman, AJ Millis - Physical Review B, 2013 - APS
The interplay between interference effects and electron-electron interactions in electron
transport through an interacting double quantum dot system is investigated using a …

Non-equilibrium quantum theory for nanodevices based on the Feynman–Vernon influence functional

J **, MWY Tu, WM Zhang, YJ Yan - New Journal of Physics, 2010 - iopscience.iop.org
In this paper, we present a non-equilibrium quantum theory for transient electron dynamics
in nanodevices based on the Feynman–Vernon influence functional. Applying the exact …