Equilibrium and nonequilibrium aspects of phase transitions in quantum physics

Author(s)

    • Puebla, Ricardo

Bibliographic Information

Equilibrium and nonequilibrium aspects of phase transitions in quantum physics

Ricardo Puebla

(Springer theses : recognizing outstanding Ph. D. research)

Springer, c2018

Available at  / 2 libraries

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Note

Doctoral thesis accepted by the Universität Ulm

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

Introduction.- Structural Phase Transitions.- Quantum Rabi Model: Equilibrium.- Quantum Rabi Model: Nonequilibrium.- Superradiant QPT with a Single Trapped Ion.- Quantum Kibble-Zurek Mechanism.- Concluding Remarks and Outlook.

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