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20232026
most citedNonequilibrium diagrammatic many-body simulations with quantics tensor trains

15 citations · 40 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.str-el2026

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…

cond-mat.str-el2026

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…

cond-mat.str-el2025★ 1 cited

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…

cond-mat.str-el2025★ 1 cited

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…

cond-mat.str-el2025★ 3 cited

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,…

cond-mat.str-el2024★ 7 cited

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…

cond-mat.str-el2024★ 13 cited

Strong coupling impurity solver based on quantics tensor cross interpolation

Aaram J. Kim, Philipp Werner

Numerical methods capable of handling nonequilibrium impurity models are essential for the study of transport problems and the solution of the nonequilibrium dynamical mean field t…

cond-mat.str-el2023★ 15 cited

Nonequilibrium diagrammatic many-body simulations with quantics tensor trains

Matthias Murray, Hiroshi Shinaoka, Philipp Werner

The nonequilibrium Green's function formalism provides a versatile and powerful framework for numerical studies of nonequilibrium phenomena in correlated many-body systems. For cal…