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| Author | : Roderich Moessner |
| Publisher | : Cambridge University Press |
| Total Pages | : 393 |
| Release | : 2021-04-29 |
| Genre | : Mathematics |
| ISBN | : 1107105536 |
This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.
| Author | : Subir Sachdev |
| Publisher | : Cambridge University Press |
| Total Pages | : 521 |
| Release | : 2011-04-07 |
| Genre | : Science |
| ISBN | : 113950021X |
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.
| Author | : Bei Zeng |
| Publisher | : Springer |
| Total Pages | : 372 |
| Release | : 2019-03-28 |
| Genre | : Computers |
| ISBN | : 1493990845 |
This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.
| Author | : Sean A. Hartnoll |
| Publisher | : MIT Press |
| Total Pages | : 407 |
| Release | : 2018-03-16 |
| Genre | : Science |
| ISBN | : 0262348020 |
A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.
| Author | : Kaden Richard Alan Hazzard |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 239 |
| Release | : 2011-06-28 |
| Genre | : Science |
| ISBN | : 1441981799 |
The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.
| Author | : Lincoln Carr |
| Publisher | : CRC Press |
| Total Pages | : 754 |
| Release | : 2010-11-02 |
| Genre | : Science |
| ISBN | : 1439802610 |
Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
| Author | : Sei Suzuki |
| Publisher | : Springer |
| Total Pages | : 407 |
| Release | : 2012-12-14 |
| Genre | : Science |
| ISBN | : 3642330398 |
Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.
| Author | : David Gross |
| Publisher | : World Scientific |
| Total Pages | : 387 |
| Release | : 2013 |
| Genre | : Science |
| ISBN | : 9814440620 |
Ever since 1911, the Solvay Conferences have shaped modern physics. The 25th edition held in October 2011 in Brussels and chaired by David Gross continued this tradition and celebrated the first centennial of this illustrious series of conferences. The development and applications of quantum mechanics have always been the main threads in the history of the Solvay Conferences, hence the 25th Solvay conference gathered many of the leading figures working on a wide variety of profound problems in physics where quantum mechanical effects play a central role. The conference addressed some of the most pressing open questions in the field of physics.The proceedings contain the OC rapporteur talksOCO which give a broad overview with unique insights by distinguished and renowned scientists. These lectures cover the seven sessions: OC History and ReflectionsOCO, OC Foundations of Quantum Mechanics and Quantum ComputationOCO, OC Control of Quantum SystemsOCO, OC Quantum Condensed MatterOCO, OC Particles and FieldsOCO, OC Quantum Gravity and String TheoryOCO and it ended with a general discussion attempting to arrive at a synthesis.In the Solvay tradition, the proceedings also include the prepared comments to the rapporteur talks. The discussions among the participants OCo some of which quite lively and involving dramatically divergent points of view OCo have been carefully edited and are reproduced in full.
| Author | : Arno Bohm |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 447 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 3662103338 |
From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).
| Author | : Subir Sachdev |
| Publisher | : Cambridge University Press |
| Total Pages | : 530 |
| Release | : 2023-03-31 |
| Genre | : Science |
| ISBN | : 1009212680 |
This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts.
