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Weak-coupling tensor cross interpolation impurity solver for nonequilibrium dynamical mean-field theory
Shuta Matsuura, Hiroshi Shinaoka, Philipp Werner +1
Simulating nonequilibrium quantum many-body systems remains a major challenge due to the exponential growth of the computational complexity with real time. Here we implement a none…
Nonequilibrium electron-phonon dynamics with high momentum resolution: Thermalization bottlenecks and the effects of phonon dispersion
Maksymilian Środa, Philipp Werner
The nonequilibrium interplay of electrons and phonons plays an important role in the thermalization of solids, yet the microscopic picture of transient states and relaxation pathwa…
Predictor-corrector method based on dynamic mode decomposition for tensor-train nonequilibrium Green's function calculations
Maksymilian Środa, Ken Inayoshi, Michael Schüler +2
The nonequilibrium Green's function (NEGF) formalism is a powerful tool to study the nonequilibrium dynamics of correlated lattice systems, but its applicability to realistic syste…
A causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains
Ken Inayoshi, Maksymilian Środa, Anna Kauch +2
We propose a causality-based divide-and-conquer algorithm for nonequilibrium Green's function calculations with quantics tensor trains. This algorithm enables stable and efficient…
Tensor cross interpolation approach for quantum impurity problems based on the weak-coupling expansion
Shuta Matsuura, Hiroshi Shinaoka, Philipp Werner +1
We apply the tensor cross interpolation (TCI) algorithm to solve equilibrium quantum impurity problems with high precision based on the weak-coupling expansion. The TCI algorithm,…
Memory-Efficient Nonequilibrium Green's Function Framework Built On Quantics Tensor Trains
Maksymilian Środa, Ken Inayoshi, Hiroshi Shinaoka +1
One of the challenges in diagrammatic simulations of nonequilibrium phenomena in lattice models is the large memory demand for storing momentum-dependent two-time correlation funct…