Dynamical Scaling Behavior in Non-equilibrium Quantum Phase Transitions PDF Download

Author: Shusa Deng
Publisher:
ISBN:
Category : Critical phenomena (Physics)
Languages : en
Pages : 246

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Author: Malte Henkel
Publisher: Springer Science & Business Media
ISBN: 1402087659
Category : Science
Languages : en
Pages : 385

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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.

Author: Ricardo Puebla
Publisher: Springer
ISBN: 3030006530
Category : Science
Languages : en
Pages : 216

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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.

Author: Malte Henkel
Publisher: Springer
ISBN: 9789401783729
Category : Science
Languages : en
Pages : 0

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“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.

Author: Uwe C. Täuber
Publisher: Cambridge University Press
ISBN: 0521842239
Category : Science
Languages : en
Pages : 529

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

Author: Richard Alexander Blythe
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Amit Dutta
Publisher: Cambridge University Press
ISBN: 1316395413
Category : Science
Languages : en
Pages : 358

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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.

Author: Sven Lübeck
Publisher:
ISBN:
Category :
Languages : en
Pages : 160

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Author: Mucio Continentino
Publisher: Cambridge University Press
ISBN: 1107150256
Category : Science
Languages : en
Pages : 249

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

Author: Richard Alexander Blythe
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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