Quantum dissipative systems /
"Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought...
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Singapore ; Hackensack, N.J. :
World Scientific,
[2012]
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| Edition: | 4th ed. |
| Series: | Series in modern condensed matter physics ;
v. 13. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1. Introduction
- 2. Diverse limited approaches: a brief survey. 2.1. Langevin equation for a damped classical system. 2.2. New schemes of quantization. 2.3. Traditional system-plus-reservoir methods. 2.4. Stochastic dynamics in Hilbert space
- 3. System-plus-reservoir models. 3.1. Harmonic oscillator bath with linear coupling. 3.2. Ergodicity. 3.3. The spin-boson model. 3.4. Microscopic models. 3.5. Charging and environmental effects in tunnel junctions. 3.6. Nonlinear quantum environments
- 4. Imaginary-time approach and equilibrium dynamics. 4.1. General concepts. 4.2. Effective action and equilibrium density matrix. 4.3. Partition function of the open system. 4.4. Quantum statistical expectation values in phase space
- 5. Real-time path integrals and nonequilibrium dynamics. 5.1. Statement of the problem and general concepts. 5.2. Feynman-Vernon method for a product initial state. 5.3. Decoherence and friction. 5.4. General initial states and preparation function. 5.5. Complex-time path integral for the propagating function. 5.6. Real-time path integral for the propagating function. 5.7. Closed time contour representation. 5.8. Semiclassical regime. 5.9. Stochastic unraveling of influence functionals. 5.10. Non-Markovian dissipative dynamics in the semiclassical limit. 5.11. Brief summary and outlook
- 6. Damped linear quantum mechanical oscillator. 6.1. Fluctuation-dissipation theorem. 6.2. Stochastic modeling. 6.3. Susceptibility. 6.4. The position autocorrelation function. 6.5. Partition function and implications. 6.6. Mean square of position and momentum. 6.7. Equilibrium density matrix. 6.8. Quantum master equations for the reduced density matrix
- 7. Quantum Brownian free motion. 7.1. Spectral density, damping function and mass renormalization. 7.2. Displacement correlation and response function. 7.3. Ohmic friction. 7.4. Frequency-dependent friction. 7.5. Partition function and thermodynamic properties
- 8. The thermodynamic variational approach. 8.1. Centroid and the effective classical potential. 8.2. Variational method
- 9. Suppression of quantum coherence. 9.1. Nondynamical versus dynamical environment. 9.2. Suppression of transversal and longitudinal interferences. 9.3. Decoherence in the semiclassical picture. 9.4. Decoherence of electrons
- 10. Introduction
- 11. Classical rate theory: a brief overview. 11.1. Classical transition state theory. 11.2. Moderate-to-strong-damping regime. 11.3. Strong damping regime. 11.4. Weak-damping regime
- 12. Quantum rate theory: basic methods. 12.1. Formal rate expressions in terms of flux operators. 12.2. Quantum transition state theory. 12.3. Semiclassical limit. 12.4. Quantum tunneling regime. 12.5. Free energy method. 12.6. Centroid method
- 13. Multidimensional quantum rate theory. 13.1. The global metastable potential. 13.2. Periodic orbit and bounce
- 14. Crossover from thermal to quantum decay. 14.1. Normal mode analysis at the barrier top. 14.2. Turnover theory for activated rate processes. 14.3. The crossover temperature.