Neutron interferometry: lessons in experimental quantum mechanics, wave-particle duality, and entanglement
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2015
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [409] - 441 |
| Beschreibung: | XII, 447 S. Ill., graph. Darst. |
| ISBN: | 9780198712510 |
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Datensatz im Suchindex
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| adam_text | Many gedanken experiments of quantum mechanics have become real due to neutron interferometry, and
are vividly displayed in the wide assembly of neutron interferometry experiments which have been carried
out since the first demonstration of a perfect silicon crystal interferometer in 1974. Since the neutron
experiences all four fundamental forces of nature (strong, weak, electromagnetic, and gravitational),
interferometry with neutrons provides a fertile testing ground for theory and precision measurements.
The quantum physics ideas of entanglement, non-locality and contextuality, the topological Aharonov-
Bohm phenomena, the Berry geometric phases, and Bell’s inequalities are beautifully displayed by the 40
neutron interferometry experiments described and explained in this book.
New to this edition:
• New chapter on quantum contextuality and related topics
• New section on decoherence
• More attention to Larmor interferometry
• Further discussions about epistemological questions
The book is written in a style that will be suitable at the senior undergraduate and beginning of graduate
level. It will interest and excite many students and researchers in neutron, nuclear, quantum, gravitational,
optical, and atomic physics. Lecturers teaching courses in modern physics and quantum mechanics will
find a number of interesting and historic experiments they may want to include in their lectures.
HELMUT RAUCH is Professor Emeritus at the Vienna University of Technology.
SAMUEL A. WERNER is Curators’ Professor Emeritus at the University of Missouri,
and Guest Researcher in the Neutron Physics Group, NIST.
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Cover image: The cover picture shows a schematic view of a perfect crystal neutron
interferometer. An Inddept neutron matter wave is split coherently by Bragg diffraction and
shows particle and wave features predicted by quantum physics (courtesy Juergen Kiepp).
Contents
1 Introduction 1
1.1 Neutron Optics and the Analogy with Light Optics 1
1.2 The Quantum Phase Shift of Matter Waves 11
1.3 Basic Neutron Diffraction Phenomena 19
2 Neutron Interferometers and Apparatus 24
2Л The Perfect Si-Crystal Interferometer 24
2.2 Perfect Crystal Interferometer Setups 35
2.2.1 The ILL Setup 35
2.2.2 The MURR Setup 37
2.2.3 The NIST Setup 38
2.3 Interferometers Based upon Cold and Ultra-Cold Neutrons 39
2.4 Larmor and Ramsey Interferometers 46
3 Neutron Interactions and the Coherent Scattering Lengths 56
3.1 Nuclear Interaction 56
3.1.1 General Relations 5 6
3.1.2 Experimental Results 62
3.2 Electromagnetic Interaction 78
3.2.1 Magnetic Terms 79
3.2.2 Electrostatic Interactions 83
3.2.3 Electrostatic Terms 85
3.2.4 Electrical Polarizability Term 89
3.3 Parity Violating Interactions 90
3.4 External Influences 91
3.4.1 Atmospheric Effects 91
3.4.2 Temperature Effect 92
3.4.3 Magnetic Field Effects of Paramagnetic Substances 94
3.4.4 Local Field and Holography Effects 95
4 Coherence and Decoherence 98
4.1 Basic Relations 99
4.1.1 Mach-Zehnder Interferometer in Second Quantization 99
4.1.2 Coherence Function 101
4.2 Coherence Measurements 106
4.2.1 Longitudinal Coherence, ^-Direction 108
4.2.2 Transverse Coherence, y-Direction 111
4.2.3 Vertical Coherence, ^-Direction 113
4.2.4 Phase-Echo and Spin-Echo Experiments 115
X
Contents
4.2.5 Non-dispersive and Non-defocusing Phase Shifters 118
4.2.6 Neutronie Coherence Features 120
4.3 Partial Beam Path Detection 122
4.3.1 Stochastic and Deterministic Beam Attenuation 122
4.3.2 Quantum Limit of Stochastic and Deterministic Absorption 126
4.3.3 Unsharp Wave-Particle Behavior 131
4.4 Counting Statistics 134
4.4.1 General Relations 134
4.4.2 Analysis of the Neutron Counting Statistics in Interferometry 136
4.4.3 Particle Number-Phase Uncertainty Relation 138
4.4.4 Intensity Correlation Experiments 143
4.5 Post-selection Measurements 146
4.5.1 Post-selection in Ordinary Space 148
4.5.2 Post-selection in Momentum Space 148
4.5.3 The Wigner Function 154
4.5.4 Post-selection in the Time Domain 159
4.5.5 Time-of-Flight Post-selection 161
4.5.6 Interferometric Post-selection—Multiplate Interferometers 166
4.6 Decoherence and Dephasing 170
4.6.1 Basic Relations 171
4.6.2 Dephasing and Decoherence Experiments 173
5 Spinor Symmetry and Spin Superposition 180
5.1 Spinor Symmetry 180
5.2 Spin Superposition 185
5.3 Time-Dependent Spinor Superposition 189
5.4 Double-Coil Experiments and the Magnetic Josephson Effect 192
5.5 Multiphoton Exchange Experiments 199
6 Topological and Geometric Phases 204
6.1 Aharonov-Casher Topological Phase 204
6.2 Scalar Aharonov-Bohm Effects 209
6.3 Geometric Phases: Theoretical Background 214
6.4 Interferometric Measurement of the Berry Phase 217
6.5 Non֊cyclic Berry Phases 225
6.6 Polarization Rotation Experiments 228
6.7 Spin-Echo Version of the Geometric Phase 229
6.8 Absorption Analog 231
6.9 Confinement-Induced Topological Quantum Phase 234
7 Contextuality and Kochen-Specker Phenomena 238
7.1 Quantum Contextuality 238
7.2 Quantum Cheshire Cat 244
8 Gravitational, Inertial, and Motional Effects 246
8.1 Gravitationally Induced Quantum Interference 246
8.1.1 Geometry of the COW Experiment 247
8.1.2 Formal Derivations of the COW and Sagnac Phase Shifts 249
Contents xi
8.1.3 The Total Phase Shift Including Bending 252
8.1.4 Neutron-X-Ray Difference Experiments 253
8.1.5 Neutron Two-Wavelength Difference Experiment 256
8.2 Sagnac Effect 265
8.2.1 Earth’s Rotation 265
8.2.2 Turnable Rotation 266
8.2.3 Effective Mass and the Coriolis Force 267
8.3 Acceleration-Induced Interference 271
8.4 Connections with Photons 272
8.5 Neutron Fizeau Effects 274
8.5.1 Rotating Quartz Rod Experiment 275
8.5.2 Theoretical Origin of the Neutron Fizeau Phase Shift 276
8.5.3 Null Fizeau Effect Experiment 284
8.5.4 Rotating Aluminum Propeller Experiment 286
8.5.5 Rotating Samarium Disk Experiment 287
8.5.6 Proper Time and General Relativity Considerations 289
9 Solid State Physics Applications 292
9.1 Contrast Reduction due to Inhomogeneities 292
9.2 Phase Imaging Topography and Phase Tomography 296
9.2.1 Double-Crystal Method 298
9.2.2 Pinhole Method 298
9.2.3 Grating Method 299
9.2.4 Interferometer Method 301
9.3 Observation of the Goos-Hänchen Effect 305
10 Forthcoming, Proposed, and More Speculative Experiments 307
10.1 Non-linearity of the Schrödinger Equation 307
10.2 Aharonov-Bohm Analog 308
10.3 Quaternions in Quantum Mechanics 309
10.4 Non-ergodic Effects 310
10.5 Wheeler Delayed-Choice Experiments 310
10.6 Neutron-Antineutron Oscillations 312
10.7 Non-Newtonian Gravity Effects 312
10.8 Spin-Rotation Coupling 314
10.9 Hanbury-Brown and Twiss Analog 314
10.10 Search for Nuclear Entanglement 317
10.11 Confinement-Gravity Coupled Quantum Phase 318
10.12 The Anandan Acceleration 319
10.13 Search for Basic Dissipative Terms 326
10.14 Proper Time Effects in Gravity Experiments 326
10.15 Neutron Fourier Spectroscopy 327
10.16 Time-Dependent Fizeau Phase Shift 334
10.17 Search for Chameleon Fields 335
10.18 Quantum Zeno Tomography 336
10.19 Complementarity and Equivalence Tests with Unstable Particles 336
xii
Contents
11 Perfect Crystal Neutron Optics 337
11.1 Transition from the Kinematical to Dynamical Diffraction 337
11.2 Dynamical Diffraction for the Symmetric Laue Case 339
11.3 Anomalous transmission? Angle Amplification? and High Collimation Effects 346
11.4 Pendellôsung Interference Effects 353
11.5 Primary Extinction and the Width of a Bragg Reflection 357
11.6 The Takagi-Taupin Equations 359
11.7 Theory of the Perfect Silicon Crystal Neutron Interferometer 365
11.7.1 Plane Wave Theory of the LLL Interferometer 366
11.7.2 Beam Profiles and Ray Tracing through the Interferometer 370
11.7.3 The Defocused Interferometer 387
12 Interpretational Questions and Conclusions 389
12.1 Interpretations and Approaches 397
12.1.1 Copenhagen-Göttingen interpretation 397
12.1.2 The Ensemble or Statistical Interpretation 399
12.1.3 The Spontaneous Localization Approach 400
12.1.4 The Decoherence Approach 400
12.1.5 The Consistent History Approach 401
12.1.6 The Transactional Interpretation 401
12.1.7 The Guide or Pilot Wave Interpretation 402
12.1.8 The Information Interpretation 402
12.1.9 Many-World Interpretation 403
12.1.10 Bohm’s Quantum Potential 403
12.1.11 Event-Based Models 406
12.1.12 No-Problem Approach 407
12.2 Conclusions 407
References 409
Index 443
|
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| author | Rauch, Helmut 1939-2019 Werner, Samuel A. 1937- |
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| edition | 2. ed. |
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| spelling | Rauch, Helmut 1939-2019 Verfasser (DE-588)138786895 aut Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement Helmut Rauch and Samuel A. Werner 2. ed. Oxford [u.a.] Oxford Univ. Press 2015 XII, 447 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [409] - 441 Neutroneninterferometrie Interferometry, Neutron Neutroneninterferometrie (DE-588)4171645-0 gnd rswk-swf Neutroneninterferometrie (DE-588)4171645-0 s DE-604 Werner, Samuel A. 1937- Verfasser (DE-588)1067883258 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027798679&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027798679&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rauch, Helmut 1939-2019 Werner, Samuel A. 1937- Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement Neutroneninterferometrie Interferometry, Neutron Neutroneninterferometrie (DE-588)4171645-0 gnd |
| subject_GND | (DE-588)4171645-0 |
| title | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement |
| title_auth | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement |
| title_exact_search | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement |
| title_full | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement Helmut Rauch and Samuel A. Werner |
| title_fullStr | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement Helmut Rauch and Samuel A. Werner |
| title_full_unstemmed | Neutron interferometry lessons in experimental quantum mechanics, wave-particle duality, and entanglement Helmut Rauch and Samuel A. Werner |
| title_short | Neutron interferometry |
| title_sort | neutron interferometry lessons in experimental quantum mechanics wave particle duality and entanglement |
| title_sub | lessons in experimental quantum mechanics, wave-particle duality, and entanglement |
| topic | Neutroneninterferometrie Interferometry, Neutron Neutroneninterferometrie (DE-588)4171645-0 gnd |
| topic_facet | Neutroneninterferometrie Interferometry, Neutron |
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