Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

Author: Ricardo Puebla

Publisher: Springer

Published: 2018-09-17

Total Pages: 216

ISBN-13: 3030006530

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In this book, the equilibrium and nonequilibrium properties of continuous phase transitions are studied in various systems, with a special emphasis on understanding how well-established universal traits at equilibrium may be extended into the dynamic realm, going beyond the paradigmatic Kibble–Zurek mechanism of defect formation. This book reports on the existence of a quantum phase transition in a system comprising just a single spin and a bosonic mode (the quantum Rabi model). Though critical phenomena are inherent to many-body physics, the author demonstrates that this small and ostensibly simple system allows us to explore the rich phenomenology of phase transitions, both in- and out-of-equilibrium. Moreover, the universal traits of this quantum phase transition may be realized in a single trapped-ion experiment, thus avoiding the need to scale up the number of constituents. In this system, the phase transition takes place in a suitable limit of system parameters rather than in the conventional thermodynamic limit – a novel notion that the author and his collaborators have dubbed the finite-component system phase transition. As such, the results gathered in this book will open promising new avenues in our understanding and exploration of quantum critical phenomena.


Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions

Author: Yuriy M. Bunkov

Publisher: Springer Science & Business Media

Published: 2000-02-29

Total Pages: 70

ISBN-13: 9780792362050

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Topological defects formed at symmetry-breaking phase transitions play an important role in many different fields of physics. They appear in many condensed-matter systems at low temperature; examples include vortices in superfluid helium-4, a rich variety of defects in helium-3, quantized mag netic flux tubes in type-II superconductors, and disclination lines and other defects in liquid crystals. In cosmology, unified gauge theories of particle interactions suggest a sequence of phase transitions in the very early uni verse some of which may lead to defect formation. In astrophysics, defects play an important role in the dynamics of neutron stars. In 1997 the European Science Foundation started the scientific network "Topological defects" headed by Tom Kibble. This network has provided us with a unique opportunity of establishing a collaboration between the representatives of these very different branches of modern physics. The NATO-ASI (Advanced Study Institute), held in Les Houches in February 1999 thanks to the support of the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants from widely different fields, with diverse expertise and vocabulary, fostering the exchange of ideas. The lectures given by particle physicists, cosmologists and condensed matter physicists are the result of the fruitful collaborations established since 1997 between groups in several European countries and in the U.S.A.


Quantum Phase Transitions in Transverse Field Models

Quantum Phase Transitions in Transverse Field Models

Author: Amit Dutta

Publisher: Cambridge University Press

Published: 2015-01-28

Total Pages: 357

ISBN-13: 1107068797

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This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.


Equilibrium and Non-equilibrium Statistical Mechanics

Equilibrium and Non-equilibrium Statistical Mechanics

Author: Carolyn M. Van Vliet

Publisher: World Scientific

Published: 2008

Total Pages: 987

ISBN-13: 9812704779

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This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.


Nonequilibrium Quantum Field Theory

Nonequilibrium Quantum Field Theory

Author: Esteban A. Calzetta

Publisher: Cambridge University Press

Published: 2023-01-31

Total Pages: 553

ISBN-13: 1009289985

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This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.


Nonequilibrium Statistical Physics

Nonequilibrium Statistical Physics

Author: Roberto Livi

Publisher: Cambridge University Press

Published: 2017-10-05

Total Pages: 439

ISBN-13: 1107049547

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A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.


Critical Dynamics

Critical Dynamics

Author: Uwe C. Täuber

Publisher: Cambridge University Press

Published: 2014-03-06

Total Pages: 529

ISBN-13: 0521842239

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A comprehensive and unified introduction to describing and understanding complex interacting systems.


Non-Equilibrium Phase Transitions

Non-Equilibrium Phase Transitions

Author: Malte Henkel

Publisher: Springer Science & Business Media

Published: 2008-11-27

Total Pages: 385

ISBN-13: 1402087659

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This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.


Dissipative Phase Transitions

Dissipative Phase Transitions

Author: Pierluigi Colli

Publisher: World Scientific

Published: 2006-03-06

Total Pages: 321

ISBN-13: 9814478652

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Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity.The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area.This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects.


Quantum Phase Transitions

Quantum Phase Transitions

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.