| Description |
1 online resource (957 pages) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Introduction; PART A; 1: Quantum Mechanics with Dissipation: Influence Functional Theory; 1.1 Introduction; 1.2 Influence Functionals; 1.3 Influence Functional from a Harmonic Oscillator; 1.4 Caldeira-Leggett Model; 1.4.1 Influence Functional; 1.4.2 Quasiclassical Langevin Equation; 1.5 Perturbation Theory and Keldysh Diagram Technique; 1.5.1 Time-Dependent Perturbation Theory; 1.5.2 Influence Functional and Keldysh Diagrams; 1.6 Caldeira-Leggett Action in Imaginary Time |
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2: Dissipative Quantum Mechanics of Superconducting Junctions2.1 From Classical Dynamics to Quantum Mechanics: Phenomenology; 2.2 Effective Action for a Josephson Junction; 2.2.1 Hubbard-Stratonovich Transformation and Effective Hamiltonian; 2.2.2 Current Operator; 2.2.3 Effective Action; 2.2.4 Electric Current; 2.2.5 Adiabatic Limit; 2.2.6 Action for Normal Tunnel Junctions; 2.3 Langevin Equation; 2.4 Imaginary-Time Action for Josephson Junctions; 2.4.1 Adiabatic Limit; 2.4.2 Normal Metal Limit; 2.5 Beyond the Tunneling Limit; 2.5.1 Contacts with Arbitrary Transmissions |
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2.5.2 Normal Ohmic Shunt3: Quantum Particle in a Dissipative Environment; 3.1 Free Particle Interacting with a Bath of Oscillators; 3.1.1 Caldeira-Leggett Model: Exact Results; 3.1.2 Discussion; 3.2 Particle on a Ring; 3.2.1 Real-Time Dynamics; 3.2.2 Decoherence in the Ground State; 3.3 Damped Harmonic Oscillator; 4: Quantum Tunneling with Dissipation; 4.1 Quantum Decay of a Metastable State: Free Energy Approach; 4.2 Instanton Technique for Decay Rate; 4.3 Decay of Supercurrent in Josephson Weak Links; 4.3.1 Macroscopic Quantum Tunneling; 4.3.2 Thermally Assisted Decay |
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4.3.3 Tunneling through a Non-quasiclassical Potential4.3.4 MQT Experiments; 5: Macroscopic Quantum Coherence and Dissipation; 5.1 Thermodynamics of Double-Well Systems with Ohmic Dissipation; 5.1.1 Instanton Technique; 5.1.2 Effect of Linear Ohmic Dissipation, Localization Phase Transition; 5.1.3 Combined Effect of Dissipation and External Bias; 5.2 Real-Time Dynamics; 5.2.1 Incoherent Regime; 5.2.2 Quantum Coherence and Damping: Spin-Boson Model; 5.2.3 Non-interacting-Blip Approximation; 5.2.4 Coherent Oscillations and Decoherence |
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6: Quantum Dynamics of Phase and Charge in Josephson Junctions6.1 Quantum Correction to the Critical Current; 6.2 Incoherent Dynamics of the Phase; 6.3 Quantum Dissipative Phase Transition and Duality; 6.4 Phase and Charge Representations; 6.5 Quasicharge as a Quantum Variable; 6.6 Phase-Charge Duality and Quantum Tunneling of the Charge; 6.7 Real-Time Dynamics and Relation for Phase and Charge Mobilities; 6.8 Quantum Dynamics in the Weak Dissipation Regime; 6.8.1 Quantum Corrections to Resistance; 6.8.2 I-V Curve in the Weak Dissipation Limit; 6.9 I-V Curve at Stronger Dissipation |
| Notes |
6.9.1 Low-Temperature Limit |
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Print version record |
| Form |
Electronic book
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| Author |
Zaikin, Andrei D
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Golubev, Dmitry
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| ISBN |
9781000024203 |
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1000024202 |
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