Strongly Coupled Field Theories For Condensed Matter And Quantum Information Theory


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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

language: en

Publisher: Springer Nature

Release Date: 2020-02-29


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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.

Field Theories of Condensed Matter Physics


Field Theories of Condensed Matter Physics

Author: Eduardo Fradkin

language: en

Publisher: Cambridge University Press

Release Date: 2013-02-28


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Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Quantum Theory for Math Enthusiasts


Quantum Theory for Math Enthusiasts

Author: Sanjay Nair

language: en

Publisher: Educohack Press

Release Date: 2025-02-20


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"Quantum Theory for Math Enthusiasts" is tailored for undergraduate students with a strong mathematical background who wish to explore the profound connections between mathematics and quantum mechanics. We offer a comprehensive yet accessible introduction to the mathematical foundations of quantum mechanics. Starting with fundamental concepts from linear algebra, functional analysis, and probability theory, we gradually build the mathematical toolkit necessary to understand quantum theory. Through clear explanations, illustrative examples, and exercises, students will develop a solid understanding of Hilbert spaces, operators, eigenvalues, and other key mathematical structures underpinning quantum mechanics. We also explore advanced topics such as symmetry groups, Lie algebras, and representation theory, shedding light on the profound mathematical structures inherent in quantum theory. Whether you're a mathematics major interested in theoretical physics or a physics student looking to deepen your mathematical understanding, our book provides the foundation to appreciate the beauty and elegance of quantum theory from a mathematical perspective.