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1 Quantum Stochastic Processes |
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1 | (42) |
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1.1 Isolated Quantum Systems |
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1 | (2) |
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1.2 System-Bath Theories and the Origin of Noise |
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3 | (5) |
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1.3 Equilibrium States of Open Quantum Systems |
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8 | (4) |
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1.4 Quantum Measurement Theory |
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12 | (5) |
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1.5 Operations, Interventions and Instruments |
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17 | (5) |
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1.6 Classical Stochastic Processes |
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22 | (3) |
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1.7 Quantum Stochastic Processes |
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25 | (8) |
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1.8 Quantum Markov Processes and Dynamical Maps |
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33 | (3) |
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1.9 Classical Quantum Stochastic Processes |
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36 | (7) |
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41 | (2) |
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2 Classical Stochastic Thermodynamics |
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43 | (61) |
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2.1 Phenomenological Non-Equilibrium Thermodynamics |
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43 | (4) |
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2.2 From Equilibrium Entropies to Landauer's Principle |
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47 | (7) |
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2.3 Classical Markov Processes and Local Detailed Balance |
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54 | (7) |
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2.4 Fluctuating Internal Energy, Heat, Work and Entropy |
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61 | (8) |
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2.5 Coarse-Graining and Time-Scale Separation |
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69 | (6) |
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2.6 Time-Reversed Trajectories and Fluctuation Theorems |
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75 | (6) |
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2.7 Work Fluctuation Theorems |
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81 | (8) |
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2.8 Strong Coupling Corrections |
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89 | (8) |
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2.9 Measuring Free Energies of Complex Molecules |
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97 | (7) |
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101 | (3) |
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3 Quantum Thermodynamics Without Measurements |
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104 | (71) |
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3.1 Mechanical Work in the Quantum Regime |
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104 | (4) |
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3.2 Quantum Master Equations in the Weak Coupling Regime |
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108 | (8) |
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3.3 Properties of the Born-Markov Secular Master Equation |
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116 | (3) |
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3.4 Thermodynamics in the Born-Markov Secular Approximation |
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119 | (5) |
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3.5 Work Extraction from Small Systems |
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124 | (6) |
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3.6 Correlations and the Zeroth Law of Thermodynamics |
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130 | (5) |
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3.7 Exact Dissipation Inequalities |
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135 | (5) |
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3.8 Nonequilibrium Entropy, Entropy Production and Finite Baths |
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140 | (9) |
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3.9 Non-Equilibrium Resources and Repeated Interactions |
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149 | (9) |
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3.10 Particle Transport and Thermoelectric Devices |
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158 | (17) |
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172 | (3) |
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4 Quantum Fluctuation Theorems |
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175 | (48) |
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4.1 Two-Point Measurement Scheme |
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175 | (4) |
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4.2 Work Fluctuation Theorems for Quantum Systems |
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179 | (4) |
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4.3 Exchange and Further Fluctuation Theorems |
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183 | (6) |
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4.4 Counting Field Methods for Quantum Master Equations |
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189 | (7) |
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4.5 Stochastic Quantum Jump Trajectories |
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196 | (10) |
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4.6 Thermodynamic Uncertainty Relations |
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206 | (6) |
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4.7 (Impossibility of) Carnot Efficiency at Finite Power |
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212 | (3) |
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4.8 Third Law of Thermodynamics |
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215 | (8) |
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221 | (2) |
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5 Operational Quantum Stochastic Thermodynamics |
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223 | (50) |
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5.1 Classicality of Quantum Fluctuation Theorems |
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223 | (2) |
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225 | (4) |
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5.3 Thermodynamics of Quantum Measurements |
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229 | (6) |
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5.4 Stochastic Thermodynamics of Quantum Markov Processes |
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235 | (10) |
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5.5 Maxwell's Demon and the Thermodynamics of Feedback Control |
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245 | (7) |
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5.6 Autonomous Approach and Strong Coupling Corrections |
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252 | (10) |
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5.7 Application to Photon Number Stabilization Experiments |
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262 | (11) |
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271 | (2) |
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273 | (4) |
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Appendix A Concepts from Information Theory |
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277 | (6) |
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277 | (4) |
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A.2 Advanced Inequalities |
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281 | (2) |
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282 | (1) |
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Appendix B Superoperators |
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283 | (9) |
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B.1 Numerically Convenient Superoperator Mapping |
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283 | (2) |
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B.2 The Choi-Jamiolkowski Isomorphism |
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285 | (2) |
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B.3 Matrix Representations of the Process Tensor |
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287 | (5) |
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291 | (1) |
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Appendix C Time-Reversal Symmetry |
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292 | (14) |
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C.1 Time-Reversal Symmetry in Classical Mechanics |
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293 | (4) |
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C.2 Time-Reversal Symmetry in Quantum Mechanics |
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297 | (5) |
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302 | (4) |
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305 | (1) |
References |
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306 | (10) |
Index |
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316 | |