Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

  • Ricardo Puebla

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Ricardo Puebla
    Pages 1-24
  3. Ricardo Puebla
    Pages 25-53
  4. Ricardo Puebla
    Pages 55-96
  5. Ricardo Puebla
    Pages 97-122
  6. Ricardo Puebla
    Pages 123-147
  7. Ricardo Puebla
    Pages 149-164
  8. Ricardo Puebla
    Pages 165-172
  9. Back Matter
    Pages 173-203

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 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.


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

  • Ricardo Puebla
    • 1
  1. 1.Centre for Theoretical Atomic, Molecular and Optical PhysicsQueen’s University BelfastBelfastUK

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-00652-5
  • Online ISBN 978-3-030-00653-2
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site