
Decoherence
and the Quantum-To-Classical Transition
By: Maximilian A. Schlosshauer
Hardcover | 30 July 2007
At a Glance
436 Pages
23.5 x 15.88 x 2.54
Hardcover
$149.75
or 4 interest-free payments of $37.44 with
orShips in 5 to 7 business days
Industry Reviews
From the reviews:
"A thorough and readable representation of today's understanding of the topic ... An excellent overview of the various theoretical approaches to the physics that leads to decoherence. A particular strength is that it includes accounts of several experiments demonstrating the decoherence mechanism in detail ... An important resource for anyone interested in decoherence. It is very well written and it will contribute to further conceptual and theoretical development and to new experiments."
Review by Anton Zeilinger, published in Nature 451, 18 (2008)
"An excellent monograph about what the best current thoughts are on the link between quantum and classical physics. ... rewarding reading for physicists who do not have the time or the mathematical preparation to delve into all the details. For such readers, the book includes interesting and accessible discussions of recent experiments ... . a welcome contribution. The index is well organized to help readers find their way around. And the more than 500 up-to-date references are a bonus for the more interested, persistent reader." (Eugen Merzbacher, Physics Today, September, 2008)
"A very fine tour of the decoherence program in all its facets. ... Schlosshauer's book is highly recommended. ... [He] has written an excellent survey of a field that is of the greatest possible interest for the foundations of quantum physics." (N. P. Landsman, Studies in History and Philosophy of Modern Physics, Vol. 40, 2009)
| Introducing Decoherence | p. 1 |
| The Basic Formalism and Interpretation of Decoherence | p. 13 |
| The Concept and Interpretation of Quantum States | p. 14 |
| Classical Versus Quantum States | p. 14 |
| The Probabilistic Nature of Quantum States | p. 16 |
| The Ontological Status of Quantum States | p. 18 |
| The Superposition Principle | p. 20 |
| The Interpretation of Superpositions | p. 20 |
| Experimental Verification of Superpositions | p. 21 |
| The Scope of the Superposition Principle | p. 26 |
| Quantum Entanglement | p. 28 |
| Quantum Versus Classical Correlations | p. 30 |
| Quantification of Entanglement and Distinguishability | p. 32 |
| The Concept and Interpretation of Density Matrices | p. 33 |
| Pure-State Density Matrices and the Trace Operation | p. 34 |
| Mixed-State Density Matrices | p. 36 |
| Quantifying the Degree of "Mixedness" | p. 39 |
| The Basis Ambiguity of Mixed-State Density Matrices | p. 41 |
| Mixed-State Density Matrices Versus Physical Ensembles | p. 43 |
| Reduced Density Matrices | p. 44 |
| The Measurement Problem and the Quantum-to-Classical Transition | p. 49 |
| The Von Neumann Scheme for Ideal Quantum Measurement | p. 50 |
| The Problem of the Preferred Basis | p. 53 |
| The Problem of the Nonobservability of Interference | p. 55 |
| The Problem of Outcomes | p. 57 |
| Which-Path Information and Environmental Monitoring | p. 60 |
| The Double-Slit Experiment, Which-Path Information, and Complementarity | p. 60 |
| The Description of the Double-Slit Experiment in Terms of Entanglement | p. 63 |
| The Environment as a Which-Path Monitor | p. 65 |
| Decoherence and the Local Damping of Interference | p. 68 |
| Environment-Induced Superselection | p. 71 |
| Pointer States in the Quantum-Measurement Limit | p. 76 |
| Pointer States in the Quantum-Limit of Decoherence | p. 81 |
| General Methods for Determining the Pointer States | p. 81 |
| Selection of Quasiclassical Properties | p. 83 |
| Redundant Encoding of Information in the Environment and "Quantum Darwinism" | p. 85 |
| A Simple Model for Decoherence | p. 88 |
| Decoherence Versus Dissipation | p. 93 |
| Decoherence Versus Classical Noise | p. 95 |
| Virtual Decoherence and Quantum "Erasure" | p. 98 |
| Resolution into Subsystems | p. 101 |
| Formal Tools and Their Interpretation | p. 103 |
| The Schmidt Decomposition | p. 104 |
| The Wigner Representation | p. 106 |
| "Purifying" the Environment | p. 109 |
| The Operator-Sum Formalism | p. 110 |
| Summary | p. 112 |
| Decoherence Is Everywhere: Localization Due to Environmental Scattering | p. 115 |
| The Scattering Model | p. 119 |
| Calculating the Decoherence Factor | p. 122 |
| Full Versus Partial Which-Path Resolution | p. 128 |
| The Short-Wavelength Limit | p. 128 |
| The Long-Wavelength Limit | p. 130 |
| Decoherence Due to Scattering of Thermal Photons and Air Molecules | p. 132 |
| Photon Scattering | p. 132 |
| Scattering of Air Molecules | p. 136 |
| Comparison with Experiments | p. 138 |
| Illustrating the Dynamics of Decoherence | p. 139 |
| Summary | p. 150 |
| Master-Equation Formulations of Decoherence | p. 153 |
| General Formalism | p. 154 |
| The Born-Markov Master Equation | p. 155 |
| Structure of the Born-Markov Master Equation | p. 156 |
| Derivation of the Born-Markov Master Equation | p. 158 |
| Master Equations in the Lindblad Form | p. 165 |
| Non-Markovian Dynamics | p. 169 |
| A World of Spins and Oscillators: Canonical Models for Decoherence | p. 171 |
| Mapping onto Canonical Models | p. 173 |
| Mapping of the Central System | p. 173 |
| Mapping of the Environment | p. 174 |
| Quantum Brownian Motion | p. 178 |
| Derivation of the Born-Markov Master Equation | p. 178 |
| Harmonic Oscillator as the Central System | p. 182 |
| Ohmic Decoherence and Dissipation | p. 188 |
| The Caldeira-Leggett Master Equation | p. 191 |
| Dynamics of Quantum Brownian Motion | p. 194 |
| Limitations of the Quantum Brownian Motion and Caldeira-Leggett Models | p. 203 |
| Exact Master Equation | p. 206 |
| The Spin-Boson Model | p. 207 |
| Simplified Spin-Boson Model Without Tunneling | p. 208 |
| Born-Markov Master Equation for the Spin-Boson Model | p. 218 |
| Spin-Environment Models | p. 222 |
| A Simple Dynamical Spin-Spin Model | p. 223 |
| Spin-Environment Models in the Weak-Coupling Limit: Mapping to Oscillator Environments | p. 228 |
| Beyond Markov: Solving General Spin-Environment Models | p. 237 |
| Summary | p. 237 |
| Of Buckey Balls and SQUIDs: Observing Decoherence in Action | p. 243 |
| The First Milestone: Atoms in a Cavity | p. 244 |
| Atom-Field Interactions and Rabi Oscillations | p. 246 |
| Creating the Cat State | p. 247 |
| Observing the Gradual Action of Decoherence | p. 251 |
| Bringing Schrödinger Cats Back to Life | p. 255 |
| Interferometry with C70 Molecules | p. 258 |
| The Double-Slit Experiment with Electrons | p. 258 |
| Experimental Setup | p. 259 |
| Confirming the Wave Nature of Massive Molecules | p. 262 |
| Which-Path Information and Decoherence | p. 263 |
| Decoherence Due to Emission of Thermal Radiation | p. 265 |
| Beyond Buckey Balls | p. 267 |
| Squids and Other Superconducting Qubits | p. 270 |
| Superconductivity and Supercurrents | p. 271 |
| Basic Phsics of Squids | p. 272 |
| Superposition States and Coherent Oscillations in Squids | p. 275 |
| Observing and Quantifying Decoherence | p. 279 |
| Other Experimental Domains | p. 282 |
| Decoherence in Bose-Einstein Condensates | p. 282 |
| Decoherence in Quantum-Electromechanical Systems | p. 284 |
| Outlook | p. 289 |
| Decoherence and Quantum Computing | p. 293 |
| A Brief Overview of Quantum Computing | p. 294 |
| The Power of Quantum Computing | p. 294 |
| Reading Out a Quantum Computer | p. 297 |
| Simulating Physical Systems | p. 298 |
| Examples of Famous Quantum Algorithms | p. 300 |
| Physical Realizations of Quantum Computers | p. 300 |
| Decoherence Versus Controllability in Quantum Computers | p. 301 |
| Decoherence Versus Classical Fluctuations | p. 302 |
| Quantum Error Correction | p. 304 |
| Classical Versus Quantum Error Correction | p. 305 |
| Representing the Influence of Decoherence by Discrete Errors | p. 307 |
| "Undoing" Decoherence in a Quantum Computer | p. 311 |
| When Does an Error-Correcting Code Exist? | p. 314 |
| Importance of Redundant Encoding and the Three-Bit Code for Phase Errors | p. 315 |
| Apparatus-Induced Decoherence and Fault Tolerance | p. 320 |
| Quantum Computation on Decoherence-Free Subspaces | p. 321 |
| What Does a Decoherence-Free Subspace Look Like? | p. 322 |
| Experimental Realizations of Decoherence-Free Subspaces | p. 325 |
| Environment Engineering and Dynamical Decoupling | p. 326 |
| Summary and Outlook | p. 327 |
| The Role of Decoherence in Interpretations of Quantum Mechanics | p. 329 |
| The Standard and Copenhagen Interpretations | p. 330 |
| The Problem of Outcomes | p. 331 |
| Observables, Measurements, and Environment-Induced Superselection | p. 333 |
| The Concept of Classicality in the Copenhagen Interpretation | p. 335 |
| Relative-State Interpretations | p. 336 |
| Everett Branches and the Preferred-Basis Problem | p. 337 |
| Probabilities in Relative-State Interpretations | p. 339 |
| The "Existential Interpretation" | p. 343 |
| Modal Interpretations | p. 344 |
| Property Assignment Based on Environment-Induced Superselection | p. 345 |
| Property Assignment Based on Instantaneous Schmidt Decompositions | p. 345 |
| Property Assignment Based on Decompositions of the Decohered Density Matrix | p. 346 |
| Physical Collapse Theories | p. 347 |
| The Preferred-Basis Problem | p. 349 |
| Simultaneous Presence of Decoherence and Spontaneous Localization | p. 350 |
| The Tails Problem | p. 351 |
| Connecting Decoherence and Collapse Models | p. 352 |
| Experimental Tests of Collapse Models | p. 353 |
| Bohmian Mechanics | p. 354 |
| Particles as Fundamental Entities | p. 355 |
| Bohmian Trajectories and Decoherence | p. 356 |
| Summary | p. 357 |
| Observations, the Quantum Brain, and Decoherence | p. 359 |
| The Role of the Observer in Quantum Mechanics | p. 359 |
| Quantum Observers and the Von Neumann Chain | p. 361 |
| Decoherence in the Brain: The Brain as a Quantum Computer? | p. 365 |
| Decoherence Timescales for Superposition States in Neurons | p. 368 |
| Decoherence Timescales for Superposition States in Microtubules | p. 371 |
| "Subjective" Resolutions of the Measurement Problem | p. 375 |
| Appendix: The Interaction Picture | p. 379 |
| References | p. 383 |
| Index | p. 409 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9783540357735
ISBN-10: 3540357734
Series: The Frontiers Collection
Published: 30th July 2007
Format: Hardcover
Language: English
Number of Pages: 436
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: DE
Dimensions (cm): 23.5 x 15.88 x 2.54
Weight (kg): 0.89
Shipping
| Standard Shipping | Express Shipping | |
|---|---|---|
| Metro postcodes: | $9.99 | $14.95 |
| Regional postcodes: | $9.99 | $14.95 |
| Rural postcodes: | $9.99 | $14.95 |
Orders over $79.00 qualify for free shipping.
How to return your order
At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.
Additional postage charges may be applicable.
Defective items
If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.
For more info please visit our Help Centre.
























