Authors:
- Nominated as an outstanding Ph.D thesis by the University of Ulm, Ulm, Germany
- Reports on the existence of a quantum phase transition in the simple quantum Rabi model
- Opens promising new avenues for the understanding and further exploration of quantum critical phenomena
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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 inthe 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.
Keywords
- Quantum Phase Transitions
- Kibble-Zurek Mechanism
- Finite-component System Phase Transitions
- Quantum Rabi Model
- Nonequilibrium Dynamics Phase Transitions
- Nonequilibrium Finite-Size Scaling Functions
- Phase Transitions in Trapped Ions
- Phase Transition with a Single Trapped-ion
- Continuous Dynamical Decoupling
Authors and Affiliations
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Centre for Theoretical Atomic, Molecular and Optical Physics, Queen’s University Belfast, Belfast, UK
Ricardo Puebla
About the author
Bibliographic Information
Book Title: Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics
Authors: Ricardo Puebla
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-00653-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-00652-5Published: 28 September 2018
Softcover ISBN: 978-3-030-13138-8Published: 10 December 2019
eBook ISBN: 978-3-030-00653-2Published: 17 September 2018
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIX, 203
Number of Illustrations: 32 b/w illustrations, 12 illustrations in colour
Topics: Phase Transitions and Multiphase Systems, Quantum Physics, Statistical Physics and Dynamical Systems, Quantum Gases and Condensates