Screen LibraryQuantum dissipative systems /
Major advances in the quantum theory of macroscopic systems, in combination with stunning experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. Today, working knowledge of dissipative quantum mechanics is an essential tool...
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
|
| Publisher Address: | Singapore ; Hackensack, N.J. : |
| Publication Dates: | 2008. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Third edition. |
| Series: |
Series in modern condensed matter physics ; v. 13 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/6738#t=toc |
| Summary: |
Major advances in the quantum theory of macroscopic systems, in combination with stunning experimental achievements, have brightened the field and brought it to the attention of the general community in natural sciences. Today, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book - originally published in 1990 and republished in 1999 as an enlarged second edition - delves much deeper than ever before into the fundamental concepts, methods, and applications of quantum dissipative systems, including the most recent developments. In this third edition, 26 chapters from the second edition contain additional material and several chapters are completely rewritten. It deals with the phenomena and theory of decoherence, relaxation, and dissipation in quantum mechanics that arise from the interaction with the environment. In so doing, a general path integral description of equilibrium thermodynamics and nonequilibrium dynamics is developed. |
| Carrier Form: | 1 online resource (xviii,507pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 483-501) and index. |
| ISBN: |
9812791795 (electronic bk.) 9789812791795 (electronic bk.) |
| CLC: | O413 |
| Contents: | I. General theory of open quantum systems. 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. The Spin-Boson model. 3.3. Microscopic models. 3.4. Charging and environmental effects in tunnel junctions. 3.5. Nonlinear quantum environments -- 4. Imaginary-time path integrals. 4.1. The density matrix: 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 dynamics. 5.1. Feynman-Vernon method for a product initial state. 5.2. Decoherence and friction. 5.3. General initial states and preparation function. 5.4. Complex-time path integral for the propagating function. 5.5. Real-time path integral for the propagating function. 5.6. Stochastic unraveling of influence functionals. 5.7. Brief summary and outlook -- II. Few simple applications. 6. Damped harmonic oscillator. 6.1. Fluctuation-dissipation theorem. 6.2. Stochastic modeling. 6.3. Susceptibility for Ohmic friction and Drude damping. 6.4. The position autocorrelation function. 6.5. Partition function, internal energy and density of states. 6.6. Mean square of position and momentum. 6.7. Equilibrium 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 damping. 7.4. Frequency-dependent damping. 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. Localized bath modes and universal decoherence -- III. Quantum statistical decay. 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. 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. 15. Thermally activated decay. 15.1. Rate formula above the crossover regime. 15.2. Quantum corrections in the preexponential factor. 15.3. The quantum Smoluchowski equation approach. 15.4. Multidimensional quantum transition state theory. 16. The crossover region. 16.1. Beyond steepest descent above T[symbol]. 16.2. Beyond steepest descent below T[symbol]. 16.3. The scaling region. 17. Dissipative quantum tunneling. 17.1. The quantum rate formula. 17.2. Thermal enhancement of macroscopic quantum tunneling. 17.3. Quantum decay in a cubic potential for Ohmic friction. 17.4. Quantum decay in a tilted cosine washboard potential. 17.5. Concluding remarks -- IV. The dissipative two-state system. 18. Introduction. 18.1. Truncation of the double-well to the two-state system. 18.2. Pair interaction in the charge picture. 19. Thermodynamics. 19.1. Partition function and specific heat. 19.2. Ohmic dissipation. 19.3. Non-Ohmic spectral densities. 19.4. Relation between the Ohmic TSS and the Kondo model. 19.5. Equivalence of the Ohmic TSS with the 1/r[symbol] Ising model. 20. Electron transfer and incoherent tunneling. 20.1. Electron transfer. 20.2. Incoherent tunneling in the nonadiabatic regime. 20.3. Single charge tunneling. 21. Two-state dynamics. 21.1. Initial preparation, expectation values, and correlations. 21.2. Exact formal expressions for the system dynamics. 21.3. The noninteracting-blip approximation (NIBA). 21.4. Weak-coupling theory beyond the NIBA for a biased system. 21.5. The interacting-blip chain approximation. 21.6. Ohmic dissipation with K at and near [symbol]: exact results. 21.7. Long-time behaviour at T = 0 for K < 1: general discussion. 21.8. From weak to strong tunneling: relaxation and decoherence. 21.9. Thermodynamics from dynamics. 22. The driven two-state system. 22.1. Time-dependent external fields. 22.2. Markovian regime. 22.3. High-frequency regime. 22.4. Quantum stochastic resonance. 22.5. Driving-induced symmetry breaking -- V. The dissipative multi-state system. 23. Quantum Brownian particle in a washboard potential. 23.1. Introduction. 23.2. Weak- and tight-binding representation. 24. Multi-state dynamics. 24.1. Quantum transport and quantum-statistical fluctuations. 24.2. Poissonian quantum transport. 24.3 |