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Numerical Renormalization Group Based Simulations Of Quantum Impurity Systems
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Book Synopsis Quantum Impurity Problems in the Framework of Natural Orbitals by : Maxime Debertolis
Download or read book Quantum Impurity Problems in the Framework of Natural Orbitals written by Maxime Debertolis and published by Springer Nature. This book was released on 2024-01-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete study of natural orbitals in quantum impurity problems, revealing a certain simplicity in these interacting many-body problems. These systems consist of a few localized degrees of freedom that undergo strong interactions and hybridize with a larger system of free particles; they are central in the study of strongly correlated systems. In a first step, the standard non-perturbative numerical renormalization group method is employed to demonstrate the hierarchical structure of correlations unveiled by natural orbitals. This simplification brought new insights for simulating quantum impurity problems, and a new algorithm is developed to generate an optimized subset of natural orbitals independently of existing methods, going beyond their usual limitations. This algorithm is presented in detail in the book, and a careful benchmark on known results is carried out to guarantee the validity of the method. It is then used to study spatial entanglement structures under various conditions that were not accessible with previous methods, such as representing the electron bath by a realistic 2D square lattice or taking account of static disorder in the metallic host. In the last chapter, the non-interacting problem in the presence of disorder is studied through random matrix theory, reproducing some of the results presented in the previous chapters. The main original result of this chapter lies in the analytical calculation of the joint distribution of one-particle orbitals energies and amplitudes of the impurity, which makes it possible to calculate any disordered averaged local correlation functions. Starting from this result, calculations in the large-N limit are compared with numerical simulations.
Book Synopsis Green Chemistry and Computational Chemistry by : Liliana L. Mammino
Download or read book Green Chemistry and Computational Chemistry written by Liliana L. Mammino and published by Elsevier. This book was released on 2021-11-17 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green chemistry already draws on many techniques and approaches developed by theoretical chemists, whilst simultaneously revealing a whole range of interesting new challenges for theoretical chemists to explore. Highlighting how work at the intersection of these fields has already produced beneficial results, Green Chemistry and Computational Chemistry: Shared Lessons in Sustainability is a practical, informative guide to combining green and theoretical chemistry principles and approaches in the development of more sustainable practices.Beginning with an introduction to both theoretical chemistry and green chemistry, the book goes on to explore current approaches being taken by theoretical chemists to address green and sustainable chemistry issues, before moving on to highlight ways in which green chemists are employing the knowledge and techniques of theoretical chemistry to help in developing greener processes. The future possibilities for theoretical chemistry in addressing sustainability issues are discussed, before a selection of case studies provides good insight into how these interactions and approaches have been successfully used in practice. - Highlights the benefits of green and theoretical chemistry groups working together to tackle sustainability issues across both academia and industry - Supports readers in easily selecting the most appropriate path through the book for their own needs - Presents a range of examples examining the practical implications and outcomes of interdisciplinary approaches
Book Synopsis Computational Many-Particle Physics by : Holger Fehske
Download or read book Computational Many-Particle Physics written by Holger Fehske and published by Springer Science & Business Media. This book was released on 2007-12-07 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.
Book Synopsis Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by : Yuto Ashida
Download or read book Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.
Book Synopsis High Performance Computing in Science and Engineering ' 07 by : Wolfgang E. Nagel
Download or read book High Performance Computing in Science and Engineering ' 07 written by Wolfgang E. Nagel and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the Stuttgart High Performance Computing Center in 2007. The reports cover all fields of computational science and engineering, with emphasis on industrially relevant applications. Presenting results for both vector-based and microprocessor-based systems, the book allows comparison between performance levels and usability of various architectures.
Book Synopsis Condensed Matter Theories, Volume 22 - Proceedings Of The International Workshop by : Gerd Ropke
Download or read book Condensed Matter Theories, Volume 22 - Proceedings Of The International Workshop written by Gerd Ropke and published by World Scientific. This book was released on 2007-09-05 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume.
Book Synopsis Correlated Electrons: from Models to Materials by : Eva Pavarini
Download or read book Correlated Electrons: from Models to Materials written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2012 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quench Dynamics in Interacting and Superconducting Nanojunctions by : Rubén Seoane Souto
Download or read book Quench Dynamics in Interacting and Superconducting Nanojunctions written by Rubén Seoane Souto and published by Springer Nature. This book was released on 2020-02-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effects of many-body interactions and superconducting correlations have become central questions in the quantum transport community. While most previous works investigating current fluctuations in nanodevices have been restricted to the stationary regime, Seoane's thesis extends these studies to the time domain. It provides relevant information about the time onset of electronic correlations mediated by interactions and superconductivity. This knowledge is essential for the development of fast electronic devices, as well as novel applications requiring fast manipulations, such as quantum information processing. In addition, the thesis establishes contact with issues of broad current interest such as non-equilibrium quantum phase transitions.
Book Synopsis Condensed Matter Theories by : Heidi Reinholz
Download or read book Condensed Matter Theories written by Heidi Reinholz and published by World Scientific. This book was released on 2007 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This series on Condensed Matter Theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists applying many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. The book is a comprehensive collection of many significant topics in the field of condensed matter theories. Each individual contribution is preceded by an extended introduction to the topic treated. Details not normally presented in journal articles can be found in this volume.
Book Synopsis Tensor Network Contractions by : Shi-Ju Ran
Download or read book Tensor Network Contractions written by Shi-Ju Ran and published by Springer Nature. This book was released on 2020-01-27 with total page 160 pages. 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.
Book Synopsis High Performance Computing in Science and Engineering ’02 by : Egon Krause
Download or read book High Performance Computing in Science and Engineering ’02 written by Egon Krause and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in modeling and simulation on supercomputers. Leading German research groups present their results achieved on high-end systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2002. Reports cover all fields of supercomputing simulation ranging from computational fluid dynamics to computer science. Special emphasis is given to industrially relevant applications. Moreover, by presenting results for both vector sytems and micro-processor based systems the book allows to compare performance levels and usability of a variety of supercomputer architectures. It therefore becomes an indispensable guidebook to assess the impact of the Japanese Earth Simulator project on supercomputing in the years to come.
Book Synopsis Quantum Theory of Condensed Matter by : Bertrand I. Halperin
Download or read book Quantum Theory of Condensed Matter written by Bertrand I. Halperin and published by World Scientific. This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since 1911, the Solvay Conferences have shaped modern physics. The 24th edition chaired by Bertrand Halperin did not break the tradition. Held in October 2008, it gathered in Brussels most of the leading figures working on the ?quantum theory of condensed matter?, addressing some of the most profound open problems in the field. The proceedings contain the ?rapporteur talks? giving a broad overview with unique insights by distinguished renowned scientists. These lectures cover the five sessions treating: mesoscopic and disordered systems; exotic phases and quantum phase transitions in model systems; experimentally realized correlated-electron materials; quantum Hall systems, and one-dimensional systems; systems of ultra-cold atoms, and advanced computational methods. In the Solvay tradition, the proceedings include also the prepared comments to the rapporteur talks. The discussions among the participants ? some of which are quite lively and involving dramatically divergent points of view ? have been carefully edited and reproduced in full.
Book Synopsis Computer Simulation Studies in Condensed-Matter Physics VII by : David P. Landau
Download or read book Computer Simulation Studies in Condensed-Matter Physics VII written by David P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Simulation Studies in Condensed-Matter Physics VII provides a broad overview of recent developments. Presented at the recent workshop, it contains the invited and contributed papers which describe new physical results, simulational techniques and ways of interpreting simulational data. Both classical and quantum systems are discussed.
Book Synopsis Quantum Monte Carlo Methods In Condensed Matter Physics by : Masuo Suzuki
Download or read book Quantum Monte Carlo Methods In Condensed Matter Physics written by Masuo Suzuki and published by World Scientific. This book was released on 1993-12-30 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-Tc superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.
Book Synopsis 30th International Workshop on Condensed Matter Theories by : Heidi Reinholz
Download or read book 30th International Workshop on Condensed Matter Theories written by Heidi Reinholz and published by . This book was released on 2007 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of the Physical Society of Japan by :
Download or read book Journal of the Physical Society of Japan written by and published by . This book was released on 2013 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chemical Abstracts written by and published by . This book was released on 2002 with total page 2616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
