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WavePacket is an open-source program package for the numerical simulation of quantum-mechanical dynamics. It can be used to solve time-independent or time-dependent linear Schr\"odinger and Liouville-von Neumann-equations in one or more…

Quantum Physics · Physics 2023-02-09 Burkhard Schmidt , Ulf Lorenz

We present the Python Tree Tensor Network package (pyTTN) for the evaluation of dynamical properties of closed and open quantum systems that makes use of Tree Tensor Network (TTN), or equivalently the multi-layer multiconfiguration…

Quantum Physics · Physics 2025-03-20 Lachlan P Lindoy , Daniel Rodrigo-Albert , Yannic Rath , Ivan Rungger

WavePacket is an open-source program package for numeric simulations in quantum dynamics. It can solve time-independent or time-dependent linear Schr\"odinger and Liouville-von Neumann-equations in one or more dimensions. Also coupled…

Quantum Physics · Physics 2023-02-09 Burkhard Schmidt , Carsten Hartmann

Numerical simulations of Einstein's field equations provide unique insights into the physics of compact objects moving at relativistic speeds, and which are driven by strong gravitational interactions. Numerical relativity has played a key…

General Relativity and Quantum Cosmology · Physics 2018-07-09 Daniel Johnson , E. A. Huerta , Roland Haas

Kwant is a Python package for numerical quantum transport calculations. It aims to be an user-friendly, universal, and high-performance toolbox for the simulation of physical systems of any dimensionality and geometry that can be described…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Christoph W. Groth , Michael Wimmer , Anton R. Akhmerov , Xavier Waintal

We present trainsum, a versatile Python package for doing computations with multidimensional quantics tensor trains: https://github.com/fh-igd-iet/trainsum. Using the Array API standard together with opt_einsum, trainsum allows the…

Mathematical Software · Computer Science 2026-02-25 Paul Haubenwallner , Matthias Heller

Tkwant is a Python package for the simulation of quantum nanoelectronics devices to which external time-dependent perturbations are applied. Tkwant is an extension of the Kwant package (https://kwant-project.org/) and can handle the same…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 Thomas Kloss , Joseph Weston , Benoit Gaury , Benoit Rossignol , Christoph Groth , Xavier Waintal

We introduce SeeMPS, a Python library dedicated to implementing tensor network algorithms based on the well-known Matrix Product States (MPS) and Quantized Tensor Train (QTT) formalisms. SeeMPS is implemented as a complete finite precision…

We investigate tensor-train approaches to the solution of the time-dependent Schr\"{o}dinger equation for chain-like quantum systems with on-site and nearest-neighbor interactions only. Using efficient low-rank tensor train representations,…

Quantum Physics · Physics 2025-01-17 Patrick Gelß , Sebastian Matera , Rupert Klein , Burkhard Schmidt

TensorCircuit is an open source quantum circuit simulator based on tensor network contraction, designed for speed, flexibility and code efficiency. Written purely in Python, and built on top of industry-standard machine learning frameworks,…

WavePacket is an open-source program package for numerical simulations in quantum dynamics. Building on the previous Part I [Comp. Phys. Comm. 213, 223-234 (2017)] and Part II [Comp. Phys. Comm. 228, 229-244 (2018)] which dealt with quantum…

Computational Physics · Physics 2023-02-09 Burkhard Schmidt , Rupert Klein , Leonardo Cancissu Araujo

QwaveMPS is an open-source Python library for simulating one-dimensional quantum many-body waveguide systems using matrix product states (MPS). It provides a user-friendly interface for constructing, evolving, and analyzing quantum states…

Quantum Physics · Physics 2026-02-26 Sofia Arranz Regidor , Matthew Kozma , Stephen Hughes

Quantized tensor trains (QTTs) are a multiscale computational framework that can potentially reduce the computational cost of solving partial differential equations and initial value problems by making low-rank approximations. However, its…

Computational Physics · Physics 2026-05-14 Erika Ye

As a machine-learned potential, the neuroevolution potential (NEP) method features exceptional computational efficiency and has been successfully applied in materials science. Constructing high-quality training datasets is crucial for…

Machine Learning · Computer Science 2025-06-03 Chengbing Chen , Yutong Li , Rui Zhao , Zhoulin Liu , Zheyong Fan , Gang Tang , Zhiyong Wang

We propose a multilevel tensor-train (TT) framework for solving nonlinear partial differential equations (PDEs) in a global space-time formulation. While space-time TT solvers have demonstrated significant potential for compressed…

Numerical Analysis · Mathematics 2026-02-10 N. R. Rapaka , R. Peddinti , E. Tiunov , N. J. Faraj , A. N. Alkhooori , L. Aolita , Y. Addad , M. K. Riahi

Tensor network techniques, known for their low-rank approximation ability that breaks the curse of dimensionality, are emerging as a foundation of new mathematical methods for ultra-fast numerical solutions of high-dimensional Partial…

We present a quantum-inspired solver for the one-dimensional Gross-Pitaevskii equation in the Quantics Tensor-Train (QTT) representation. By evolving the system entirely within a low-rank tensor manifold, the method sidesteps the memory and…

We present an open-source Python package, SpinWaveToolkit (SWT), for (semi-)analytical modeling of spin-wave dynamics in thin ferromagnetic films and exchange-coupled magnetic bilayers. SWT combines analytical models based on the…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Jan Klíma , Ondřej Wojewoda , Jakub Krčma , Martin Hrtoň , Dominik Pavelka , Jakub Holobrádek , Michal Urbánek

Simulation and analysis of multidimensional dynamics of a quantum non-Hmeritian system is a challenging problem. Gaussian wavepacket dynamics has proven to be an intuitive semiclassical approach to approximately solving the dynamics of…

Quantum Physics · Physics 2024-01-31 Amartya Bose

Low-rank tensor approximation approaches have become an important tool in the scientific computing community. The aim is to enable the simulation and analysis of high-dimensional problems which cannot be solved using conventional methods…

Numerical Analysis · Mathematics 2019-02-26 Patrick Gelß , Stefan Klus , Sebastian Matera , Christof Schütte
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