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Dynamical Scaling Behavior In Non Equilibrium Quantum Phase Transitions
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Book Synopsis Dynamical Scaling Behavior in Non-equilibrium Quantum Phase Transitions by : Shusa Deng
Download or read book Dynamical Scaling Behavior in Non-equilibrium Quantum Phase Transitions written by Shusa Deng and published by . This book was released on 2011 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel
Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2008-11-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics by : Ricardo Puebla
Download or read book Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics written by Ricardo Puebla and published by Springer. This book was released on 2018-09-17 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel
Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer. This book was released on 2014-11-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The importance of knowledge consists not only in its direct practical utility but also in the fact the it promotes a widely contemplative habit of mind; on this ground, utility is to be found in much of the knowledge that is nowadays labelled ‘useless’. ” Bertrand Russel, In Praise of Idleness, London (1935) “Why are scientists in so many cases so deeply interested in their work ? Is it merely because it is useful ? It is only necessary to talk to such scientists to discover that the utilitarian possibilities of their work are generally of secondary interest to them. Something else is primary. ” David Bohm, On creativity, Abingdon (1996) In this volume, the dynamical critical behaviour of many-body systems far from equilibrium is discussed. Therefore, the intrinsic properties of the - namics itself, rather than those of the stationary state, are in the focus of 1 interest. Characteristically, far-from-equilibrium systems often display - namical scaling, even if the stationary state is very far from being critical. A 1 As an example of a non-equilibrium phase transition, with striking practical c- sequences, consider the allotropic change of metallic ?-tin to brittle ?-tin. At o equilibrium, the gray ?-Sn becomes more stable than the silvery ?-Sn at 13. 2 C. Kinetically, the transition between these two solid forms of tin is rather slow at higher temperatures. It starts from small islands of ?-Sn, the growth of which proceeds through an auto-catalytic reaction.
Book Synopsis Critical Dynamics by : Uwe C. Täuber
Download or read book Critical Dynamics written by Uwe C. Täuber and published by Cambridge University Press. This book was released on 2014-03-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and unified introduction to describing and understanding complex interacting systems.
Book Synopsis Universal Scaling Behavior of Non-equilibrium Phase Transitions by : Sven Lübeck
Download or read book Universal Scaling Behavior of Non-equilibrium Phase Transitions written by Sven Lübeck and published by . This book was released on 2004 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonequilibrium Phase Transitions and Dynamical Scaling Regimes by : Richard Alexander Blythe
Download or read book Nonequilibrium Phase Transitions and Dynamical Scaling Regimes written by Richard Alexander Blythe and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Phase Transitions in Transverse Field Spin Models by : Amit Dutta
Download or read book Quantum Phase Transitions in Transverse Field Spin Models written by Amit Dutta and published by Cambridge University Press. This book was released on 2015-01-28 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. From a generic introduction to in-depth discussions of the subtleties of the transverse field Ising and related models, it includes the essentials of quantum dynamics and quantum information. A wide range of relevant topics has also been provided: quantum phase transitions, various measures of quantum information, the effects of disorder and frustration, quenching dynamics and the Kibble–Zurek scaling relation, the Kitaev model, topological phases of quantum systems, and bosonisation. In addition, it also discusses the experimental studies of transverse field models (including the first experimental realisation of quantum annealing) and the recent realisation of the transverse field Ising model using tunable Josephson junctions. Further, it points to the obstacles still remaining to develop a successful quantum computer.
Book Synopsis Quantum Scaling in Many-Body Systems by : Mucio Continentino
Download or read book Quantum Scaling in Many-Body Systems written by Mucio Continentino and published by Cambridge University Press. This book was released on 2017-04-17 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on experimental results, this updated edition approaches the problem of quantum phase transitions from a new and unifying perspective.
Book Synopsis Nonequilibrium Phase Transitions and Dynamical Scaling Regimes by : Richard Alexander Blythe
Download or read book Nonequilibrium Phase Transitions and Dynamical Scaling Regimes written by Richard Alexander Blythe and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonequilibrium Phase Transitions in Driven Vortex Matter by : Shun Maegochi
Download or read book Nonequilibrium Phase Transitions in Driven Vortex Matter written by Shun Maegochi and published by Springer Nature. This book was released on with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Phase Transitions by : Subir Sachdev
Download or read book Quantum Phase Transitions written by Subir Sachdev and published by Cambridge University Press. This book was released on 2001-04-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics.
Book Synopsis Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems by : John Karkheck
Download or read book Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems written by John Karkheck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.
Book Synopsis Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems by : Taiki Haga
Download or read book Renormalization Group Analysis of Nonequilibrium Phase Transitions in Driven Disordered Systems written by Taiki Haga and published by Springer. This book was released on 2019-01-24 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.
Book Synopsis Phase Transitions, Nonequilibrium Dynamics, and Critical Behavior of Strongly Interacting Systems by :
Download or read book Phase Transitions, Nonequilibrium Dynamics, and Critical Behavior of Strongly Interacting Systems written by and published by . This book was released on 1998 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the final report of a three-year, Laboratory Directed Research and Development project at Los Alamos National Laboratory. In this effort, large-scale simulations of strongly interacting systems were performed and a variety of approaches to the nonequilibrium dynamics of phase transitions and critical behavior were investigated. Focus areas included (1) the finite-temperature quantum chromodynamics phase transition and nonequilibrium dynamics of a new phase of matter (the quark-gluon plasma) above the critical temperature, (2) nonequilibrium dynamics of a quantum fields using mean field theory, and (3) stochastic classical field theoretic models with applications to spinodal decomposition and structural phase transitions in a variety of systems, such as spin chains and shape memory alloys.
Book Synopsis Dynamical Gauge Effects and Holographic Scaling of Non-Equilibrium Motion in a Disordered and Dissipative Atomic Gas by : Jianshi Zhao
Download or read book Dynamical Gauge Effects and Holographic Scaling of Non-Equilibrium Motion in a Disordered and Dissipative Atomic Gas written by Jianshi Zhao and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we describe both an experimental implementation and a theoretical investigation of gauge field effects in cold atom systems. The experimental part focuses on the motion of atoms in a disordered potential with dissipation. The atomic system under consideration utilizes a generalization of a dark state cooling mechanism, known as Ramman sideband cooling. By coupling near-resonant laser modes, we create an open system which exhibits a non-equilibrium phase transition between two steady-state behaviors, and shows scale-invariant behavior near the transition. This behavior is loosely analogous to dynamical gauge effects in quantum chromodynamics, and can be mapped onto generalized open problems in theoretical understanding of quantized non-Abelian gauge theories. Additionally, the scaling behavior can be understood from the geometric structure of the gauge potential and linked to a measure of information in the local disordered potential, reflecting an underlying holographic principle.As an extension toward developing fractional quantum Hall (FQH) systems, we consider an experimental strategy of creating many FQH samples along a chain of lattice sites, and coupling them together via tunneling. We calculate a mean-field phase diagram and derive an effective field theory to describe this system and find that such a system support novel insulator and superfluid states. Close to the centrifugal limit with small tunneling strength, 1/2-Laughlin states with N atoms are localized on each lattice site, analogous to Mott-Insulator state. As the tunneling strength increases, the system transitions from the Laughlin-insulator states to superfluid states, whose order parameter reflects the insulator states through momentum and atom number conservation. The transport properties near the phase transition reveal the fractional 'charge' nature of the insulator states, in such that the effective mass of the tunneling quasi-particle is fractionalized. We demonstrate an experimentally feasible pathway to a state describable as a Mott-insulator of 1/2-Laughlin states, and also interrogate the coherence properties of the superfluid phase.
Book Synopsis Dynamics of First-Order Phase Transitions in Equilibrium and Nonequilibrium Systems by : S. W. Koch
Download or read book Dynamics of First-Order Phase Transitions in Equilibrium and Nonequilibrium Systems written by S. W. Koch and published by . This book was released on 2014-01-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: