Correlation Functions and Quasiparticle Interactions in Condensed Matter

Correlation Functions and Quasiparticle Interactions in Condensed Matter
Author: J.W. Halley
Publisher: Springer Science & Business Media
Total Pages: 658
Release: 2012-12-06
Genre: Science
ISBN: 1468433601

This volume contains the proceedings of a NATO Advanced Study Institute devoted to the study of dynamical correlation functions of the form (I) J~e-lwtA(O)B(O)A(t)B(t»dt where A and B are physical operations in the Heisenberg representa tion and -~ Tr(e ••• )

Analogies in Optics and Micro Electronics

Analogies in Optics and Micro Electronics
Author: W. van Haeringen
Publisher: Springer
Total Pages: 262
Release: 1990-03-31
Genre: Science
ISBN: 0792307089

This book gives an account of a number of recent developments in two different subfields of research, optics and micro--electronics. The leading principle in presenting them together in one book is the striking similarity between a variety of notions in these two research areas. We mention in this respect tunneling, quantum interference and localization, which are important concepts in quantummechanics and more specifically in condensed matter physics. Miniaturization in solid state engineering has led to new phenomena in which these concepts play their significant roles. As it is the wave character of electrons which is strongly emphasized in these phenomena one's attention is quite naturally directed to the field of optics in which the above quantum-mechanical notions all seem to have their direct classical wavemechanical counterparts. Both micro--electronics and optics have been and still are in a mode of intensifying activity. The possibilities to technically "translate" devices developed within one research field to similar devices in the other field are strongly increasing. This opens, among other things, a door leading to "quantummechanics" on a macroscopic scale with visible light under relatively easily accessible experimental conditions, or to "wave optics II in the domain of solid state physics. Thinking in terms of analogies is important anyhow, but it is especially the cross-fertilization between optics and micro--electronics which according to the editors will lead to deepened insights and a new type of technology.

Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter
Author: Ramamurti Shankar
Publisher: Cambridge University Press
Total Pages: 557
Release: 2017-08-31
Genre: Science
ISBN: 1108363989

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Quantum Correlations in Field Theory and Integrable Systems

Quantum Correlations in Field Theory and Integrable Systems
Author: Stefano Evangelisti
Publisher: Minkowski Institute Press
Total Pages: 213
Release: 2013-05-31
Genre: Science
ISBN: 1927763096

This doctoral thesis analytically and numerically examines some of the most important concepts in quantum correlations in low-dimensional physics: entanglement and out-of-equilibrium dynamics. As John Bell once said: "Entanglement expresses the spooky nonlocality inherent to quantum mechanics", and its study not only concerns the foundations of any quantum theory, but also has important applications in quantum information and condensed matter theory, amongst others. The first chapters are devoted to the study of "entanglement entropies", a popular measure of the "quantumness" of a physical system. The main focus of the analysis is the one-dimensional XYZ spin-1/2 chain in equilibrium, an interacting theory which in addition to being integrable also has interesting scaling limits, such as the sine-Gordon field theory. Moving away from equilibrium the subsequent chapters deal with the dynamics of quantum correlators after an instantaneous quantum quench. The emphasis is on two different models and techniques; the transverse field Ising chain is studied using the form-factor approach and the O(3) non-linear sigma model is studied by means of the semi-classical theory. In the final chapter the author highlights an important general result: in the absence of long-range interactions in the final Hamiltonian the dynamics of a quantum system are determined by the same statistical ensemble that describes static correlations.

Electron Correlation in Molecules and Condensed Phases

Electron Correlation in Molecules and Condensed Phases
Author: Norman H. March
Publisher: Springer Science & Business Media
Total Pages: 416
Release: 1996-10-31
Genre: Science
ISBN: 9780306448447

This reference describes the latest research on correlation effects in the multicenter problems of atoms, molecules, and solids. The author utilizes first- and second-order matrices, including the important observable electron density rho(r), and the Green function for discussing quantum computer simulations. With its focus on concepts and theories, this volume will benefit experimental physicists, materials scientists, and physical and inorganic chemists as well as graduate students.

AdS/CFT Correspondence in Condensed Matter

AdS/CFT Correspondence in Condensed Matter
Author: Antonio S.T. Pires
Publisher: Morgan & Claypool Publishers
Total Pages: 95
Release: 2014-06-01
Genre: Science
ISBN: 1627053093

The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space

Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory

Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory
Author: Alvaro Ferraz
Publisher: Springer Nature
Total Pages: 408
Release: 2020-02-29
Genre: Science
ISBN: 3030354733

This book presents a selection of advanced lectures from leading researchers, providing recent theoretical results on strongly coupled quantum field theories. It also analyzes their use for describing new quantum states, which are physically realizable in condensed matter, cold-atomic systems, as well as artificial materials. It particularly focuses on the engineering of these states in quantum devices and novel materials useful for quantum information processing. The book offers graduate students and young researchers in the field of modern condensed matter theory an updated review of the most relevant theoretical methods used in strongly coupled field theory and string theory. It also provides the tools for understanding their relevance in describing the emergence of new quantum states in a variety of physical settings. Specifically, this proceedings book summarizes new and previously unrelated developments in modern condensed matter physics, in particular: the interface of condensed matter theory and quantum information theory; the interface of condensed matter physics and the mathematics emerging from the classification of the topological phases of matter, such as topological insulators and topological superconductors; and the simulation of condensed matter systems with cold atoms in optical lattices.

Quantum Field Theory in Condensed Matter Physics

Quantum Field Theory in Condensed Matter Physics
Author: Alexei M. Tsvelik
Publisher: Cambridge University Press
Total Pages: 361
Release: 2007-01-18
Genre: Science
ISBN: 1139440500

This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.