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Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime
Matthieu Jeannin, Yuriel Núñez-Fernández, Thomas Kloss +2
We present a general-purpose algorithm to extrapolate a low rank function of two variables from a small domain to a larger one. It is based on the cross-interpolation formula. We a…
Tensorized orbitals for computational chemistry
Nicolas Jolly, Yuriel Núñez Fernández, Xavier Waintal
Choosing a basis set is the first step of a quantum chemistry calculation and it sets its maximum accuracy. This choice of orbitals is limited by strong technical constraints as on…
A Tensor Train Continuous Time Solver for Quantum Impurity Models
A. Erpenbeck, W. -T. Lin, T. Blommel +8
The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the…
Learning Feynman Diagrams with Tensor Trains
Yuriel Nunez-Fernandez, Matthieu Jeannin, Philipp T. Dumitrescu +4
We use tensor network techniques to obtain high order perturbative diagrammatic expansions for the quantum many-body problem at very high precision. The approach is based on a tens…
Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times
Corentin Bertrand, Daniel Bauernfeind, Philipp T. Dumitrescu +3
We extend the recently developed Quantum Quasi-Monte Carlo (QQMC) approach to obtain the full frequency dependence of Green functions in a single calculation. QQMC is a general app…
Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions
Marjan Maček, Philipp T. Dumitrescu, Corentin Bertrand +3
High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods…