A C++ library for implementing a tensor product wavefunction method to simulate many-body electron systems. This library provides a useful environment for simple definition of tensors in programs, and supports functions of linear algebras and quantum number conservation needed in a tensor network method. This library keeps excellent flexibility and efficiency in maintenance, and can easily make a solver of one-dimensional electron systems such as density-matrix renormalization group (DMRG).
An open-source application for obtaining optimized many-body wavefunctions expressed by matrix product states (MPS). By using a second-generation density matrix renormalization group (DMRG) algorithm, many-body wave functions can be efficiently optimized. The quantum-chemical operators are represented by matrix product operators (MPOs), which provides flexibility to accommodate various symmetries and relativistic effects.
A program package for numerically solving effective lattice models using matrix product states (MPS). The ground state of a one-dimensional quantum system and its time evolution can be numerically evaluated by using an infinite system algorithm based on MPS. Useful tutorials and examples of calculations are also provided.
A MATLAB function for the contraction process of a tensor network. It takes as input a tensor network and a contraction sequence describing how to contract the network to a single tensor or number. It returns a single tensor or number as output. This function can be obtained by downloading the preprint source.
An open-source application for simulation of one-dimensional interacting electron models based on a tensor product wavefunction method. This application supports not only electronic models but also spin and bosonic models, and can evaluate various physical quantities for ground states and low-lying excited states. This application also supports time evolution, and can treat models with long-range interactions.
DDMRG (DynamicalDMRG) is a program for analyzing the dynamical properties of one-dimensional electron systems by using the density matrix renormalization group method. It simulates excited or photo-induced quantum phenomena in Mott insulators, spin-Peierls materials, organic materials, etc. Parallel computational procedures for linear and non-linear responses in low dimensional electron systems and analyzing routines for relaxation processes of excited states induced by photo-irradiation are available.