Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019‏ - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

R Orús - Annals of physics, 2014‏ - Elsevier
This is a partly non-technical introduction to selected topics on tensor network methods,
based on several lectures and introductory seminars given on the subject. It should be a …

OpenMolcas: From source code to insight

I Fdez. Galván, M Vacher, A Alavi… - Journal of chemical …, 2019‏ - ACS Publications
In this Article we describe the OpenMolcas environment and invite the computational
chemistry community to collaborate. The open-source project already includes a large …

Quantum trajectories and open many-body quantum systems

AJ Daley - Advances in Physics, 2014‏ - Taylor & Francis
The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011‏ - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

Variational optimization algorithms for uniform matrix product states

V Zauner-Stauber, L Vanderstraeten, MT Fishman… - Physical Review B, 2018‏ - APS
We combine the density matrix renormalization group (DMRG) with matrix product state
tangent space concepts to construct a variational algorithm for finding ground states of one …

Time-evolving a matrix product state with long-ranged interactions

MP Zaletel, RSK Mong, C Karrasch, JE Moore… - Physical Review B, 2015‏ - APS
We introduce a numerical algorithm to simulate the time evolution of a matrix product state
under a long-ranged Hamiltonian in moderately entangled systems. In the effectively one …

Spread of correlations in long-range interacting quantum systems

P Hauke, L Tagliacozzo - Physical review letters, 2013‏ - APS
The nonequilibrium response of a quantum many-body system defines its fundamental
transport properties and how initially localized quantum information spreads. However, for …

The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems

P Silvi, F Tschirsich, M Gerster, J Jünemann… - SciPost Physics Lecture …, 2019‏ - scipost.org
We present a compendium of numerical simulation techniques, based on tensor network
methods, aiming to address problems of many-body quantum mechanics on a classical …

[كتاب][B] Introduction to tensor network methods

S Montangero, E Montangero, Evenson - 2018‏ - Springer
In the last years, a number of theoretical and numerical tools have been developed by a
thriving community formed by people coming from different backgrounds—condensed …