Diagrammatic Monte Carlo simulation of nonequilibrium systems

P Werner, T Oka, AJ Millis - Physical Review B—Condensed Matter and …, 2009 - APS
We generalize the recently developed diagrammatic Monte Carlo techniques for quantum
impurity models from an imaginary time to a Keldysh formalism suitable for real-time and …

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 …

Numerically exact long-time magnetization dynamics at the nonequilibrium Kondo crossover of the Anderson impurity model

G Cohen, E Gull, DR Reichman, AJ Millis… - Physical Review B …, 2013 - APS
We investigate the dynamical and steady-state spin response of the nonequilibrium
Anderson model to magnetic fields, bias voltage, and temperature using a numerically exact …

Comparative study of theoretical methods for non-equilibrium quantum transport

J Eckel, F Heidrich-Meisner, SG Jakobs… - New Journal of …, 2010 - iopscience.iop.org
We present a detailed comparison of three different methods designed to tackle non-
equilibrium quantum transport, namely the functional renormalization group (fRG), the time …

Real-time impurity solver using Grassmann time-evolving matrix product operators

R Chen, X Xu, C Guo - Physical Review B, 2024 - APS
An emergent and promising tensor-network-based impurity solver is to represent the
Feynman-Vernon influence functional as a matrix product state, where the bath is integrated …

Transport through an Anderson impurity: Current ringing, nonlinear magnetization, and a direct comparison of continuous-time quantum Monte Carlo and hierarchical …

R Haertle, G Cohen, DR Reichman, AJ Millis - Physical Review B, 2015 - APS
We give a detailed comparison of the hierarchical quantum master equation (HQME)
method to a continuous-time quantum Monte Carlo (CT-QMC) approach, assessing the …

Solving equilibrium quantum impurity problems on the L-shaped Kadanoff-Baym contour

R Chen, C Guo - Physical Review B, 2024 - APS
The path integral formalism is the building block of many powerful numerical methods for
quantum impurity problems. However, existing fermionic path integral-based numerical …

Efficient mapping for Anderson impurity problems with matrix product states

L Kohn, GE Santoro - Physical Review B, 2021 - APS
We propose an efficient algorithm to numerically solve Anderson impurity problems using
matrix product states. By introducing a modified chain mapping we obtain significantly lower …

Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems

C Guo, R Chen - Physical Review B, 2024 - APS
The Grassmann time-evolving matrix product operator (GTEMPO) method has proven to be
an accurate and efficient numerical method for the real-time dynamics of quantum impurity …

Influence of vibrational modes on quantum transport through a nanodevice

A Jovchev, FB Anders - Physical Review B—Condensed Matter and Materials …, 2013 - APS
We employ the recently proposed scattering states numerical renormalization group (SNRG)
approach to calculate I (V) and the differential conductance through a single molecular level …