Determinant diagrammatic Monte Carlo algorithm in the thermodynamic limit

R Rossi - Physical review letters, 2017 - APS
We present a simple trick that allows us to consider the sum of all connected Feynman
diagrams at fixed position of interaction vertices for general fermionic models, such that the …

Reconstructing nonequilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions

C Bertrand, S Florens, O Parcollet, X Waintal - Physical Review X, 2019 - APS
We propose a systematic approach to the nonequilibrium dynamics of strongly interacting
many-body quantum systems, building upon the standard perturbative expansion in the …

Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations

L Wang, YH Liu, M Iazzi, M Troyer, G Harcos - Physical review letters, 2015 - APS
We present a guiding principle for designing fermionic Hamiltonians and quantum Monte
Carlo (QMC) methods that are free from the infamous sign problem by exploiting the Lie …

Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions

R Rossi, T Ohgoe, K Van Houcke, F Werner - Physical Review Letters, 2018 - APS
We demonstrate that a summing up series of Feynman diagrams can yield unbiased
accurate results for strongly correlated fermions even when the convergence radius …

Exchange-correlation effect in the charge response of a warm dense electron gas

PC Hou, BZ Wang, K Haule, Y Deng, K Chen - Physical Review B, 2022 - APS
The study of warm dense matter, widely existing in nature and laboratories, is challenging
due to the interplay of quantum and classical fluctuations. We develop a variational …

Evaluating second-order phase transitions with diagrammatic Monte Carlo: Néel transition in the doped three-dimensional Hubbard model

C Lenihan, AJ Kim, F Šimkovic IV, E Kozik - Physical Review Letters, 2022 - APS
Diagrammatic Monte Carlo—the technique for the numerically exact summation of all
Feynman diagrams to high orders—offers a unique unbiased probe of continuous phase …

Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times

C Bertrand, O Parcollet, A Maillard, X Waintal - Physical Review B, 2019 - APS
We present a quantum Monte Carlo algorithm for computing the perturbative expansion in
power of the coupling constant U of the out-of-equilibrium Green's functions of interacting …

Diagrammatic Monte Carlo algorithm for the resonant Fermi gas

K Van Houcke, F Werner, T Ohgoe, NV Prokof'Ev… - Physical Review B, 2019 - APS
We provide a description of a diagrammatic Monte Carlo algorithm for the resonant Fermi
gas in the normal phase. Details are given on the diagrammatic framework, Monte Carlo …

Fulde-Ferrell-Larkin-Ovchinnikov pairing as leading instability on the square lattice

J Gukelberger, S Lienert, E Kozik, L Pollet, M Troyer - Physical Review B, 2016 - APS
We study attractively interacting spin-1 2 fermions on the square lattice subject to a spin
population imbalance. Using unbiased diagrammatic Monte Carlo simulations we find an …

Quantum Monte Carlo study of mass-imbalanced Hubbard models

YH Liu, L Wang - Physical Review B, 2015 - APS
Building on recent solutions of the fermion sign problem for specific models we present two
continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced …