Conical intersections in physics : an introduction to synthetic gauge theories /: an introduction to synthetic gauge theories. (2020)

• Record Type: Book
• Further Information: Note: Jonas Larson, Erik Sjöqvist, Patrik Öhberg.
• Other Names: Larson, Jonas; Sjöqvist, Erik; Öhberg, Patrik
• Contents: Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- References -- 2 Theory of Adiabatic Evolution -- 2.1 Introduction -- 2.2 Adiabatic Time-Evolution -- 2.2.1 Adiabatic Theorem -- 2.2.2 Adiabatic Approximation -- 2.2.3 The Marzlin-Sanders Paradox -- 2.2.4 The Importance of the Energy Gap: Local Adiabatic Quantum Search -- 2.3 Gauge Structure of Time-Dependent Adiabatic Systems -- 2.3.1 The Wilczek-Zee Holonomy -- 2.3.2 Adiabatic Evolution of a Tripod -- 2.3.3 Closing the Energy Gap: Abelian Magnetic Monopole in Adiabatic Evolution -- 2.4 Born-Oppenheimer Theory 2.4.1 Synthetic Gauge Structure of Born-OppenheimerTheory -- 2.4.2 Adiabatic Versus Diabatic Representations -- 2.4.3 Born-Oppenheimer Approximation -- 2.4.4 Synthetic Gauge Structure of an Atom in an Inhomogeneous Magnetic Field -- References -- 3 Conical Intersections in Molecular Physics -- 3.1 Introduction -- 3.2 Where Electronic Adiabatic Potential Surfaces Cross: Intersection Points -- 3.2.1 The Existence of Intersections -- 3.2.2 Topological Tests for Intersections -- 3.2.3 The Molecular Aharonov-Bohm Effect on the Nuclear Motion -- 3.3 The Jahn-Teller Effect 4.1.6.2 Chern and Winding Numbers -- 4.2 Spin-Orbit Couplings -- 4.2.1 Rashba and Dresselhaus Spin-Orbit Couplings -- 4.2.2 Intrinsic Spin Hall Effect -- 4.3 Superconductors -- 4.4 Graphene -- 4.4.1 Tight-Binding Band Spectrum -- 4.4.2 Relativity at Almost `Zero' -- 4.4.3 The Haldane Model -- 4.5 Weyl Semimetals -- References -- 5 Conical Intersections in Cold Atom Physics -- 5.1 Introduction -- 5.2 Light-Matter Interactions and Optical Forces -- 5.3 Adiabatic Dynamics and Synthetic Gauge Potentials -- 5.3.1 The Adiabatic Principle and Dressed States 5.3.2 A Pedagogical Example: The Two-Level System -- 5.4 Spin-Orbit Coupling and Non-Abelian Phenomena -- 5.4.1 Spectrum -- 5.4.2 A Quasi-Relativistic Example: The AtomicZitterbewegung -- 5.4.2.1 The Dirac Limit -- 5.4.2.2 Zitterbewegung -- 5.4.2.3 Dark State Dynamics -- 5.4.2.4 Exact Solutions in the Schrödinger Limit -- 5.5 Cold Atoms and the Bose-Einstein Condensate -- 5.5.1 The Description of a Condensate -- 5.5.2 Conical Intersections and the Gross-Pitaevskii Equation -- References -- 6 Conical Intersections in Other Physical Systems -- 6.1 Cavity Quantum Electrodynamics
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 530.14/35; Gauge fields (Physics); Gauge fields (Physics); Electronic books
• Languages: English
• ISBNs: 9783030348823; 3030348822
• Related ISBNs: 3030348814; 9783030348816
• Notes: Note: Includes bibliographical references and index.
• 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.