1# Library to Find Best eBook for Read
Author : Dainius Kilda
Release : 2020
Genre : Quantum electrodynamics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Tensor Network Simulations of Open Quantum Systems by : Dainius Kilda
Download or read book Tensor Network Simulations of Open Quantum Systems written by Dainius Kilda. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shi-Ju Ran
Release : 2020-01-27
Genre : Science
Kind : eBook
Book Rating : 894/5 ( reviews)
Book Synopsis Tensor Network Contractions by : Shi-Ju Ran
Download or read book Tensor Network Contractions written by Shi-Ju Ran. This book was released on 2020-01-27. Available in PDF, EPUB and Kindle. Book excerpt: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.
Author : Aidan Strathearn
Release : 2020-08-31
Genre : Science
Kind : eBook
Book Rating : 755/5 ( reviews)
Book Synopsis Modelling Non-Markovian Quantum Systems Using Tensor Networks by : Aidan Strathearn
Download or read book Modelling Non-Markovian Quantum Systems Using Tensor Networks written by Aidan Strathearn. This book was released on 2020-08-31. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system. The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.
Author : Simone Montangero
Release : 2018-11-28
Genre : Science
Kind : eBook
Book Rating : 096/5 ( reviews)
Book Synopsis Introduction to Tensor Network Methods by : Simone Montangero
Download or read book Introduction to Tensor Network Methods written by Simone Montangero. This book was released on 2018-11-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter. The book can be used for a graduate computational physics course. After successfully completing such a course, a student should be able to write a tensor network program and can begin to explore the physics of many-body quantum systems. The book can also serve as a reference for researchers working or starting out in the field.
Author : Gernot Schaller
Release : 2014-01-07
Genre : Science
Kind : eBook
Book Rating : 77X/5 ( reviews)
Book Synopsis Open Quantum Systems Far from Equilibrium by : Gernot Schaller
Download or read book Open Quantum Systems Far from Equilibrium written by Gernot Schaller. This book was released on 2014-01-07. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides graduate students and also professional researchers aiming to understand the dynamics of open quantum systems with a valuable and self-contained toolbox. Special focus is laid on the link between microscopic models and the resulting open-system dynamics. This includes how to derive the celebrated Lindblad master equation without applying the rotating wave approximation. As typical representatives for non-equilibrium configurations it treats systems coupled to multiple reservoirs (including the description of quantum transport), driven systems and feedback-controlled quantum systems. Each method is illustrated with easy-to-follow examples from recent research. Exercises and short summaries at the end of every chapter enable the reader to approach the frontiers of current research quickly and make the book useful for quick reference.
