The uniform electron gas at warm dense matter conditions

T Dornheim, S Groth, M Bonitz - Physics Reports, 2018 - Elsevier
Motivated by the current high interest in the field of warm dense matter research, in this
article we review the uniform electron gas (UEG) at finite temperature and over a broad …

Continuous-time Monte Carlo methods for quantum impurity models

E Gull, AJ Millis, AI Lichtenstein, AN Rubtsov… - Reviews of Modern …, 2011 - APS
Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

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 …

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 …

Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations

M Eckstein, P Werner - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We solve the impurity problem which arises within nonequilibrium dynamical mean-field
theory for the Hubbard model by means of a self-consistent perturbation expansion around …

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 …

Dynamic properties of the warm dense electron gas based on path integral Monte Carlo simulations

P Hamann, T Dornheim, J Vorberger, ZA Moldabekov… - Physical Review B, 2020 - APS
There is growing interest in warm dense matter (WDM), an exotic state on the border
between condensed matter and plasmas. Due to the simultaneous importance of quantum …

Diagrammatic Monte Carlo for dissipative quantum impurity models

M Vanhoecke, M Schirò - Physical Review B, 2024 - APS
We develop a diagrammatic Monte Carlo method for the real-time dynamics of dissipative
quantum impurity models. These are small open quantum systems with interaction and local …

[HTML][HTML] Green's function methods for single molecule junctions

G Cohen, M Galperin - The Journal of chemical physics, 2020 - pubs.aip.org
We present a brief pedagogical review of theoretical Green's function methods applicable to
open quantum systems out of equilibrium, in general, and single molecule junctions, in …

[HTML][HTML] Efficient fully-coherent quantum signal processing algorithms for real-time dynamics simulation

JM Martyn, Y Liu, ZE Chin, IL Chuang - The Journal of Chemical …, 2023 - pubs.aip.org
Simulating the unitary dynamics of a quantum system is a fundamental problem of quantum
mechanics, in which quantum computers are believed to have significant advantage over …