Cold atoms and molecules: a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics]
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2009
|
| Schriftenreihe: | Physics textbook
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVIII, 382 S. Ill., graph. Darst. |
| ISBN: | 9783527407507 |
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Datensatz im Suchindex
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| adam_text |
Titel: Cold atoms and molecules
Autor: Weidemüller, Matthias
Jahr: 2009
Contents
Preface XIII
List of Contributors XVII
Part One Cold Atoms and Molecules 1
1 Cooling and Trapping of Atoms 3
Peter van der Straten and Harold Metcalf
1.1 Introduction 3
1.2 Phase-Space Density 6
1.3 Doppler Cooling 10
1.3.1 Two-Level Atom in a Light Field 10
1.3.2 Optical Bloch Equations 12
1.3.3 Steady State 13
1.3.4 Force on a Two-Level Atom 14
1.3.5 Atoms in Motion 16
1.4 Laser Slowing 17
1.4.1 Introduction 17
1.4.2 Slowing of an Atomic Beam 18
1.4.3 Zeeman-Compensated Slowing 20
1.4.4 Measurements and Results 21
1.5 Laser Cooling 24
1.5.1 Optical Molasses 24
1.5.2 Low-Intensity Theory for a Two-Level Atom in One Dimension 26
1.5.3 Experiments in Three-Dimensional Optical Molasses 27
1.6 Magneto-Optical Traps 29
1.6.1 Introduction 29
1.6.2 Cooling and Compressing Atoms in an MOT 31
1.6.3 Measurements and Results 32
1.7 Cooling Below the Doppler Limit 34
1.7.1 Introduction 34
1.7.2 Linear J_ Linear Polarization Gradient Cooling 35
Cold Atoms and Molecules. Edited by Matthias Weidemiiller and Claus Zimmermann
Copyright © 2009 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim
ISBN: 978-3-527-40750-7
VI Contents
1.7.3 Magnetically Induced Laser Cooling 37
1.7.4 Optical Molasses in Three Dimensions 39
1.8 Magnetic Trapping 41
1.9 Evaporative Cooling 45
1.9.1 Introduction 45
1.9.2 Basic Assumptions 47
1.9.3 The Simple Model 48
1.9.4 Speed and Limits of Evaporative Cooling 51
1.9.5 Experimental Results 53
1.10 Beyond Optical Molasses 54
1.10.1 Raman Sideband Cooling 54
1.10.2 Trapping Atoms with a CO2 Laser 56
1.11 Conclusions 57
References 57
Appendix: Cooling Limits 61
2 Quantum Collisions 63
John Weiner
2.1 General Introduction 63
2.2 Introduction to Cold Collision Theory 68
2.2.1 Basic Concepts of Scattering Theory 68
2.3 Quantum Properties as Energy Approaches Zero 74
2.3.1 Relations Between Phase Shift, Scattering Length, and Bound
States 80
2.3.2 Scattering Length in a Square-Well Potential 83
2.4 Collisions in a Light Field 86
2.5 Inelastic Exoergic Collisions in MOTS 89
2.6 Excited-State Trap-Loss Collisions 90
2.6.1 Early Quasistatic Models-The Gallagher-Pritchard Model 90
2.6.2 Excited-State Trap-Loss Measurements 93
2.7 Photoassociation at Ambient and Cold Temperatures 97
2.8 Associative and Photoassociative Ionization 100
2.9 Photoassociative Ionization in a MOT 105
2.9.1 Photoassociative Ionization in Atom Beams 105
2.10 Ground-State Collisions 109
2.11 Early Work 111
2.12 Bose-Einstein Condensation 112
2.12.1 Designer Condensates 120
2.13 Quantum-Information Collisions 124
References 125
3 Frozen Rydberg Cases 147
Thomas Amthor, Markus Reetz-Lamour, and Matthias Weidemuller
3.1 Introduction 147
3.2 Experimental Realizations 148
Contents VII
3.3 Rydberg Atoms and Their Interactions 149
3.3.1 Quantitative Description of Alkali Rydberg Atoms 151
3.3.1.1 Alkali Rydberg States 151
3.3.1.2 Rydberg Wavefunctions 153
3.3.1.3 Dipole Moments and Stark Shifts 154
3.3.2 Dipolar Interactions 256
3.3.2.1 Induced Dipoles - van der Waals Interaction 157
3.3.2.2 Resonant Dipoles - Forster Resonances 158
3.3.2.3 Permanent Dipoles 158
3.4 Ultralong-Range Forces and Exotic Molecules 358
3.4.1 Ionizing Collisions 159
3.4.2 Avalanches and Ultracold Plasmas 161
3.4.3 Molecules of Rydberg Atoms 163
3.4.4 Molecules of Rydberg and Ground-State Atoms 164
3.5 Resonant Energy Transfer 165
3.5.1 Resonance Broadening by Excitation Diffusion 166
3.5.2 Dynamics of Energy Transfer 167
3.6 Quantum-Information Processing and Dipole Blockade 169
3.6.1 Fast Quantum Gates with Rydberg Atoms 170
3.6.2 Excitation Suppression 171
3.6.3 Coherent Excitation 173
3.7 Conclusion 174
References 174
4 Cold Molecules 179
Eberhard Tiemann
4.1 Introduction and Motivation 179
4.2 From Atoms to Molecules 181
4.2.1 Atomic Basics 181
4.2.2 Atom Pairs and Asymptotic Coupling 183
4.2.3 Molecules 188
4.2.4 Born-Oppenheimer Approximation 190
4.2.5 Hund's Coupling Cases 192
4.3 Determination of Molecular Potentials 194
4.3.1 Determination of the Asymptotic Potential 195
4.3.1.1 The LeRoy-Bernstein Approach 195
4.3.1.2 The Accumulated Phase Method 196
4.3.2 Determination of the "Full" Potential 198
4.4 Transition Probabilities and Franck-Condon Principle 199
4.5 A Spectroscopic Example for Cold Collisions 202
4.6 Schemes for Generating Cold Molecules 204
4.6.1 Cooling in a Coolant Environment: Supersonic Expansion, Matrix
Isolation, Buffer Gas 206
4.6.2 Cold Molecules from Photoassociation 209
4.6.3 Cold Molecules Through Feshbach Resonances 215
VIII Contents
4.6.4 Deceleration of Polar Molecules by Inhomogeneous Electric
Fields 218
4.6.5 Cold Molecular Ions 220
4.7 Current Status and Future Aspects of Cold Molecules 221
Acknowledgment 224
References 225
Part Two Cool Interactions 231
5 Introduction to Bose-Einstein Condensation 233
Kai Bongs and Klaus Sengstock
5.1 Introduction 233
5.2 Theory 233
5.2.1 What is BEC? 234
5.2.1.1 Qualitative Answer 234
5.2.2 Quantum Statistics (Ideal Gas Case) 236
5.2.3 Statistics - Finite Systems 239
5.2.4 Statistics - Interactions 240
5.2.5 Condensate Wavefunction - Interactions 241
5.2.5.1 The Ideal Gas 242
5.2.5.2 Interacting Gas 243
5.2.6 The Gross-Pitaevskii Equation 243
5.2.7 Thomas-Fermi Approximation 245
5.2.8 Bogoliubov Approximation 246
5.2.9 Limits of the Gross-Pitaevskii Equation 248
5.2.10 A Few Relevant Scales 248
5.2.10.1 Length Scales 248
5.2.10.2 Energy Scales 249
5.3 Experimental Creation of BEC 250
5.4 Selected Examples of the Physics of BEC 252
5.4.1 Excitations 251
5.4.2 BEC Interference 252
5.4.2.1 Evidence of Interference 252
5.4.3 Nonlinear Effects 254
5.4.3.1 Four-Wave Mixing 254
5.4.3.2 Solitons 257
5.4.4 Superfluidity 259
5.4.5 Phase Fluctuations and Coherence Properties 262
5.4.6 Magnetism in Quantum Gases 265
5.4.7 Quantum Gas Mixtures 269
5.4.8 Creation of Ultracold Molecules from Ultracold Atoms 272
Acknowledgments 275
References 276
Contents IX
6 Ultracold Fermi Cases: Properties and Techniques 283
Selim Jochim
6.1 Introduction 283
6.2 Ultracold Fermions in a Trap 284
6.2.1 Ideal Fermi Gas 284
6.2.2 Finite Temperature 285
6.2.2.1 Chemical Potential 286
6.3 Preparing an Ultracold Fermi Gas 288
6.3.1 Several Spin States 289
6.3.2 Different Isotopes 290
6.3.3 Different Atoms 290
6.3.4 Very Low Temperatures: Overcome Pauli Blocking 291
6.3.5 Diagnostics: Temperature Measurements 292
6.4 Interactions 292
6.4.1 Collisions 293
6.4.2 Weakly Attractive Fermions, Superfluidity 293
6.4.3 Tunable Interactions: Feshbach Resonances 294
6.4.4 Feshbach Resonances 295
6.4.5 Weakly Bound Molecules 296
6.4.6 Enhancing Elastic Collision Rates 297
6.4.7 Strong Interactions 298
6.5 Feshbach Molecules and Molecular Condensates 299
6.5.1 Formation of Feshbach Molecules 299
6.5.2 Magnetic Field Ramps 300
6.5.3 Three-Body Recombination 301
6.5.4 Three-Body Recombination of a Spin Mixture of Fermions 301
6.5.5 Chemical Equilibrium 301
6.5.6 Detection of Feshbach Molecules 302
6.5.7 BEC of Molecules 303
6.5.8 A Molecular BEC Out of a Fermi Sea 304
6.5.9 A Molecular BEC by Direct Evaporation of Thermal Fermions 305
6.6 BEC-BCS Crossover 306
6.6.1 From Fermions to Bosons, a Continuous Crossover! 306
6.6.2 High-Tc-Superfluidity in a Fermi Gas of Atoms 307
6.7 Conclusion 309
References 309
7 Bose-Einstein Condensates in Optical Lattices 315
Immanuel Bloch, Markus Creiner, and Theodor W. Hansoh
7.1 Introduction 315
7.2 Periodic Potentials with Optical Lattices 316
7.2.1 Optical Lattices in Different Dimensions 316
7.2.1.1 ID Lattice Potential 316
7.2.1.2 2D Lattice Potential 317
7.2.1.3 3D Lattice Potential 317
X Contents
7.2.1.4 Bloch Bands 318
7.2.1.5 Wannier Functions 321
7.2.2 Ground State Wavefunction of a BEC in an Optical Lattice 322
7.2.2.1 Discretization 322
7.2.2.2 Ground State 324
7.3 Superfluid to Mott Insulator Transition 325
7.3.1 Experimental Setup 325
7.3.2 Bose-Hubbard Hamiltonian 326
7.3.3 Ground States of the Bose-Hubbard Hamiltonian 327
7.3.3.1 Double-Well Case 327
7.3.3.2 Multiple-Well Case 328
7.3.4 Superfluid to Mott Insulator Transition 329
7.4 Collapse and Revival of the Matter-Wave Field of a Bose-Einstein
Condensate 330
References 333
Part Three Bonus Chapter 335
8 Tutorial on Experimental Physics of Ultracold Cases 337
Allard Mosk
8.1 Introduction 337
8.1.1 Peace of Mind and Safety 338
8.1.2 Where to Find More Information 338
8.2 Ultrahigh Vacuum 339
8.2.1 Residual-Gas-Induced Decay Time 340
8.2.2 Vacuum Science is Residual Gas Science 340
8.2.2.1 Common Residual Gases 341
8.2.3 Patience and Cleanliness 342
8.2.4 Vacuum Seals 343
8.2.5 Optical Access in Vacuum Systems 344
8.2.5.1 Glass Cells 344
8.2.5.2 Viewports 345
8.2.6 Leaks 345
8.2.7 Pumping 346
8.2.8 Valves 347
8.2.9 Further Reading 347
8.3 Trapping of Neutral Particles 347
8.3.1 Magnetostatic Trapping 348
8.3.2 Scaling 349
8.3.3 Cooling of Coils 350
8.3.4 Switching of Magnetic Fields 351
8.4 Cryogenic Techniques 352
8.4.1 Superconducting Coils 353
8.4.2 Principles of Cryogenic Cooling 354
8.4.3 Dilution Refrigerators 354
Contents XI
8.4.4 Further Reading 355
8.5 Dealing with Noise 355
8.5.1 Know your Noise 356
8.5.2 The Spectrum Analyzer 358
8.5.3 Lowest Frequencies: Drifts 359
8.5.4 Low-Frequency Vibrations 359
8.5.5 Mechanical Vibrations 359
8.5.6 Electromagnetic Interference 360
8.5.6.1 Good and Clean Contacts 361
8.5.6.2 Line Hum 361
8.5.6.3 EMI and Computers 362
8.6 Photodetection 362
8.6.1 Vacuum Photodiodes and Photomultiplier Tubes 363
8.6.2 Semiconductor Photodiodes and Preamplifiers 363
8.6.3 Imaging Detectors 365
8.6.3.1 Electron Multiplying CCD 366
8.7 Control Loops 367
8.7.1 Applications of Feedback Loops 368
8.7.2 Common Problems with Servo Loops 368
8.7.3 Transfer Functions 369
8.7.4 Nonlinearity and Unlocking 371
8.7.5 Servo Nonlinearity and Limits 372
8.7.6 PID Controllers 372
8.7.7 Measurement of the Transfer Functions 374
Acknowledgments 375
Epilogue 375
References 375
Index 379 |
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| title | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] |
| title_auth | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] |
| title_exact_search | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] |
| title_full | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] edited by Matthias Weidemüller ... |
| title_fullStr | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] edited by Matthias Weidemüller ... |
| title_full_unstemmed | Cold atoms and molecules a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] edited by Matthias Weidemüller ... |
| title_short | Cold atoms and molecules |
| title_sort | cold atoms and molecules a testground for fundamental many particle physics concepts experiments and applications to fundamental physics |
| title_sub | a testground for fundamental many particle physics ; [concepts, experiments and applications to fundamental physics] |
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