The Tensor Network Theory Library

Abstract

In this technical paper we introduce the Tensor Network Theory (TNT) library -- an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. The objectives of this paper are (i) to give an overview of the structure of TNT library, and (ii) to help scientists decide whether to use the TNT library in their research. We show how to employ the TNT routines by giving examples of ground-state and dynamical calculations of one-dimensional bosonic lattice systems. We also discuss different options for gaining access to the software available at http://www.tensornetworktheory.org.

Updated to published version. 20 pages + 15 pages of appendices

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Quantum trajectories and open many-body quantum systems
• Electrodynamics of Correlated Electron Materials
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Nonlinear light-matter interaction at terahertz frequencies
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion

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• Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model
• Thermally Driven Polaron Transport in Conjugated Polymers
• Anomalous spin-charge separation in a driven Hubbard system
• Characterizing the phase diagram of finite-size dipolar Bose-Hubbard systems
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• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Controllable Finite-Momenta Dynamical Quasicondensation in the Periodically Driven One-Dimensional Fermi-Hubbard Model
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• Measuring Time-Dependent Induced Quantum Coherences via Two-Dimensional Coherence Spectroscopy
• The Software Landscape for the Density Matrix Renormalization Group
• Optimized Observable Readout from Single-shot Images of Ultracold Atoms via Machine Learning