Equilibrium and nonequilibrium aspects of phase transitions in quantum physics. ([2018])

• Record Type: Book
• Further Information: Note: Ricardo Puebla.
• Authors: Puebla, Ricardo
• Contents: Intro; Supervisor's Foreword; Abstract; List of PublicationsParts of this thesis are based on or have been taken from material first published in the following peer-reviewed journals or as preprint (arXiv) versions:Fokker-Planck formalism approach to Kibble-Zurek scaling laws and nonequilibrium dynamics R. Puebla, R. Nigmatullin, T. E. Mehlstäubler, and M. B. Plenio Phys. Rev. B 95, 134104 (2017) arXiv:1702.02099Probing the dynamics of a superradiant quantum phase transition with a single trapped ion R. Puebla, M.-J. Hwang, J. Casanov; Acknowledgements; Cooperations and Funding; Contents 1 Introduction1.1 Continuous Phase Transitions; 1.1.1 Critical Exponents; 1.1.2 Finite-Size Scaling Hypothesis; 1.1.3 Universality; 1.2 Ising Model; 1.2.1 Mean-Field Theory; 1.2.2 Exact Solutions: Outline; 1.2.3 Transverse-Field Quantum Ising Model; 1.3 Nonequilibrium Dynamics and the Kibble-Zurek Mechanism; 1.4 Structure and Contents; References; 2 Structural Phase Transitions; 2.1 Ginzburg-Landau Theory; 2.1.1 Nonequilibrium Dynamics; 2.1.2 Overdamped Regime: Smoluchowski Equation; 2.1.3 General and Underdamped Regime: Kramers Equation; 2.2 Coulomb Crystal in Ion Traps 2.2.1 Ginzburg-Landau Map2.2.2 Defect Formation and Kibble-Zurek Scaling; 2.3 Conclusion and Outlook; References; 3 Quantum Rabi Model: Equilibrium; 3.1 Quantum Rabi Model; 3.2 Superradiant Quantum Phase Transition; 3.2.1 Low-Energy Effective Hamiltonians; 3.2.2 Signatures of the Quantum Phase Transition; 3.2.3 Finite-Frequency Scaling; 3.2.4 Universality Class; 3.3 Excited-State Quantum Phase Transition; 3.3.1 Semiclassical Approach; 3.3.2 Signatures of the ESQPT; 3.4 Conclusion and Outlook; References; 4 Quantum Rabi Model: Nonequilibrium 4.1 Nonequilibrium Dynamics and Kibble-Zurek Scaling Laws4.1.1 Infinite Limit: Kibble-Zurek Physics; 4.1.2 Nonlinear Protocols; 4.1.3 Thermal States; 4.1.4 Sudden Quenches; 4.2 Finite-Frequency Case: Breakdown of KZ Scaling; 4.2.1 Nonequilibrium Finite-Frequency Scaling Functions; 4.2.2 Universality Class; 4.3 Conclusion and Outlook; References; 5 Superradiant QPT with a Single Trapped Ion; 5.1 Proposed Trapped-Ion Experiment; 5.1.1 Trapped-Ion Platform and QRM; 5.1.2 Protocol and Trapped-Ion Simulations; 5.1.3 Standing-Wave Configuration; 5.1.4 Effects of Noise 5.2 Continuous Dynamical Decoupling5.2.1 Basic Operating Principle; 5.2.2 Trapped-Ion Setup and Continuous Dynamical Decoupling; 5.2.3 Concatenated Continuous Dynamical Decoupling; 5.3 Conclusion and Outlook; References; 6 Quantum Kibble-Zurek Mechanism; 6.1 Long-Range Transverse Field Ising Model; 6.1.1 Experimental Realization; 6.1.2 Ground-State Properties; 6.1.3 Nonequilibrium Dynamics and Scaling Laws; 6.2 Conclusion and Outlook; References; 7 Concluding Remarks and Outlook; References; Appendix A Survey on Stochastic Processes; A.1 Brownian Motion and Langevin Equation
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 530.474; Physics; Phase transformations (Statistical physics); Equilibrium; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Science -- Quantum Theory; Science -- Mathematical Physics; Quantum physics (quantum mechanics & quantum field theory); Statistical physics; Atomic & molecular physics; Quantum theory; Statistical physics; Science -- Solid State Physics; Condensed matter physics (liquid state & solid state physics); Electronic books
• Languages: English
• ISBNs: 9783030006532; 3030006530
• Related ISBNs: 9783030006525
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed September 21, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.