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 …
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
We propose a systematic approach to the nonequilibrium dynamics of strongly interacting
many-body quantum systems, building upon the standard perturbative expansion in the …
many-body quantum systems, building upon the standard perturbative expansion in the …
Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
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 …
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
We demonstrate that a summing up series of Feynman diagrams can yield unbiased
accurate results for strongly correlated fermions even when the convergence radius …
accurate results for strongly correlated fermions even when the convergence radius …
Exchange-correlation effect in the charge response of a warm dense electron gas
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 …
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
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 …
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
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 …
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 …
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
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 …
population imbalance. Using unbiased diagrammatic Monte Carlo simulations we find an …
Quantum Monte Carlo study of mass-imbalanced Hubbard models
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 …
continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced …