Overview
- 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)
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
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.
Authors and Affiliations
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