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Chapman & Hall/CRC eBooks

Quantum Integrable Systems

Asesh Roy Chowdhury, Aninlya Ghose Choudhury

Published Jan 28, 2004• 11 citations
Publisher

Abstract

The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m

DOI
10.1201/9780203498019

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This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book reviews classical physical and quantum theories for nonspecialists, building on the basics to introduce recent advances. A definition of physical is included for specialists also to consider. The book analyzes quantum theory interpretations, revealing a developmental progression from the standard, many-worlds, decoherence/consistent histories, quantum probability, quantum information field, and transactional interpretations to neorealism. It outlines a new holistic interpretation of quantum theory; of major significance is the subtle concept of levels of spacetime. The book considers loop quantum gravity, string, inflationary big bang, and unified field theories. The diverse interpretations are in large part due to focusing on the observed as the only reality: the process of observing and the observer were practically ignored.

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Introduction

Christopher C. Gerry, P. L. Knight

Scope and aims of this book Quantum optics is one of the liveliest fields in physics at present. While it has been a dominant research field for at least two decades, with much graduate activity, in the past few years it has started to impact the undergraduate curriculum. This book developed from courses we have taught to final year undergraduates and beginning graduate students at Imperial College London and City University of New York. There are plenty of good research monographs in this field, but we felt that there was a genuine need for a straightforward account for senior undergraduates and beginning postgraduates, which stresses basic concepts. This is a field which attracts the brightest students at present, in part because of the extraordinary progress in the field (e.g. the implementation of teleportation, quantum cryptography, Schrödinger cat states, Bell violations of local realism and the like). We hope that this book provides an accessible introduction to this exciting subject. Our aim was to write an elementary book on the essentials of quantum optics directed to an audience of upper-level undergraduates, assumed to have suffered through a course in quantum mechanics, and for first-or second-year graduate students interested in eventually pursuing research in this area. The material we introduce is not simple, and will be a challenge for undergraduates and beginning graduate students, but we have tried to use the most straightforward approaches. Nevertheless, there are parts of the text that the reader will find more challenging than others.

Cambridge University Press eBooks•Oct 28, 2004•1 citation
The study of integrable systems has opened new horizons in classical physics over the past few decades, particularly in the subatomic world. Yet despite the field now having reached a level of maturity, very few books provide an introduction to the field accessible to specialists and nonspecialists alike, and none offer a systematic survey of the m
This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book reviews classical physical and quantum theories for nonspecialists, building on the basics to introduce recent advances. A definition of physical is included for specialists also to consider. The book analyzes quantum theory interpretations, revealing a developmental progression from the standard, many-worlds, decoherence/consistent histories, quantum probability, quantum information field, and transactional interpretations to neorealism. It outlines a new holistic interpretation of quantum theory; of major significance is the subtle concept of levels of spacetime. The book considers loop quantum gravity, string, inflationary big bang, and unified field theories. The diverse interpretations are in large part due to focusing on the observed as the only reality: the process of observing and the observer were practically ignored.
Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by researchers in fields ranging from condensed matter theory to machine learning. This book presents a pedagogical and comprehensive introduction to this field for the first time. After an introductory survey on the major advances in tensor network algorithms and their applications, it introduces step-by-step the tensor network representations of quantum states and the tensor-network renormalization group methods developed over the past three decades. Basic statistical and condensed matter physics models are used to demonstrate how the tensor network renormalization works. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.
Scope and aims of this book Quantum optics is one of the liveliest fields in physics at present. While it has been a dominant research field for at least two decades, with much graduate activity, in the past few years it has started to impact the undergraduate curriculum. This book developed from courses we have taught to final year undergraduates and beginning graduate students at Imperial College London and City University of New York. There are plenty of good research monographs in this field, but we felt that there was a genuine need for a straightforward account for senior undergraduates and beginning postgraduates, which stresses basic concepts. This is a field which attracts the brightest students at present, in part because of the extraordinary progress in the field (e.g. the implementation of teleportation, quantum cryptography, Schrödinger cat states, Bell violations of local realism and the like). We hope that this book provides an accessible introduction to this exciting subject. Our aim was to write an elementary book on the essentials of quantum optics directed to an audience of upper-level undergraduates, assumed to have suffered through a course in quantum mechanics, and for first-or second-year graduate students interested in eventually pursuing research in this area. The material we introduce is not simple, and will be a challenge for undergraduates and beginning graduate students, but we have tried to use the most straightforward approaches. Nevertheless, there are parts of the text that the reader will find more challenging than others.