Quantum Phase Transitions

Quantum Phase Transitions PDF

Author: Subir Sachdev

Publisher: Cambridge University Press

Published: 2011-04-07

Total Pages: 521

ISBN-13: 113950021X

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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.

Understanding Quantum Phase Transitions

Understanding Quantum Phase Transitions PDF

Author: Lincoln Carr

Publisher: CRC Press

Published: 2010-11-02

Total Pages: 756

ISBN-13: 1439802610

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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

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids PDF

Author: Kaden Richard Alan Hazzard

Publisher: Springer Science & Business Media

Published: 2011-06-28

Total Pages: 239

ISBN-13: 1441981799

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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.

Quantum Analogues: From Phase Transitions to Black Holes and Cosmology

Quantum Analogues: From Phase Transitions to Black Holes and Cosmology PDF

Author: William Unruh

Publisher: Springer

Published: 2007-04-14

Total Pages: 306

ISBN-13: 3540708596

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Recently, analogies between laboratory physics (e.g. quantum optics and condensed matter) and gravitational/cosmological phenomena such as black holes have attracted an increasing interest. This book contains a series of selected lectures devoted to this new and rapidly developing field. Various analogies connecting (apparently) different areas in physics are presented in order to bridge the gap between them and to provide an alternative point of view.

Quantum Ising Phases and Transitions in Transverse Ising Models

Quantum Ising Phases and Transitions in Transverse Ising Models PDF

Author: Sei Suzuki

Publisher: Springer

Published: 2012-12-14

Total Pages: 407

ISBN-13: 3642330398

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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.

Conductor Insulator Quantum Phase Transitions

Conductor Insulator Quantum Phase Transitions PDF

Author: Vladimir Dobrosavljevic

Publisher: Oxford University Press

Published: 2012-06

Total Pages: 583

ISBN-13: 0199592594

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When many particles come together how do they organize themselves? And what destroys this organization? Combining experiments and theory, this book describes intriguing quantum phases - metals, superconductors and insulators - and transitions between them. It captures the excitement and the controversies on topics at the forefront of research.

Phase Transitions in Materials

Phase Transitions in Materials PDF

Author: Brent Fultz

Publisher: Cambridge University Press

Published: 2014-08-14

Total Pages: 589

ISBN-13: 1107067243

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A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.

Phase Transition Dynamics

Phase Transition Dynamics PDF

Author: Tian Ma

Publisher: Springer Science & Business Media

Published: 2013-11-09

Total Pages: 575

ISBN-13: 1461489636

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This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Quantum Scaling in Many-Body Systems

Quantum Scaling in Many-Body Systems PDF

Author: Mucio Continentino

Publisher: Cambridge University Press

Published: 2017-04-17

Total Pages: 249

ISBN-13: 1107150256

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Focusing on experimental results, this updated edition approaches the problem of quantum phase transitions from a new and unifying perspective.