Emerging quantum computing algorithms for quantum chemistry
Digital quantum computers provide a computational framework for solving the Schrödinger
equation for a variety of many‐particle systems. Quantum computing algorithms for the …
equation for a variety of many‐particle systems. Quantum computing algorithms for the …
Pseudo-fermion functional renormalization group for spin models
For decades, frustrated quantum magnets have been a seed for scientific progress and
innovation in condensed matter. As much as the numerical tools for low-dimensional …
innovation in condensed matter. As much as the numerical tools for low-dimensional …
Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …
Towards the solution of the many-electron problem in real materials: Equation of state of the hydrogen chain with state-of-the-art many-body methods
We present numerical results for the equation of state of an infinite chain of hydrogen atoms.
A variety of modern many-body methods are employed, with exhaustive cross-checks and …
A variety of modern many-body methods are employed, with exhaustive cross-checks and …
Nonexistence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
The Luttinger-Ward functional Φ [G], which expresses the thermodynamic grand potential in
terms of the interacting single-particle Green's function G, is found to be ill defined for …
terms of the interacting single-particle Green's function G, is found to be ill defined for …
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 …
Exponential thermal tensor network approach for quantum lattice models
We speed up thermal simulations of quantum many-body systems in both one-(1D) and two-
dimensional (2D) models in an exponential way by iteratively projecting the thermal density …
dimensional (2D) models in an exponential way by iteratively projecting the thermal density …
Two-dimensional Hubbard model at finite temperature: Weak, strong, and long correlation regimes
We investigate the momentum-resolved spin and charge susceptibilities, as well as the
chemical potential and double occupancy in the two-dimensional Hubbard model as …
chemical potential and double occupancy in the two-dimensional Hubbard model as …
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 …
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 …