Coherent dynamics of complex quantum systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2006
|
| Schriftenreihe: | Texts and Monographs in Physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 471 S. Ill., graph. Darst. |
| ISBN: | 3540210520 9783540210528 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV019604389 | ||
| 003 | DE-604 | ||
| 005 | 20091109 | ||
| 007 | t | ||
| 008 | 041123s2006 gw ad|| |||| 00||| ger d | ||
| 016 | 7 | |a 970130023 |2 DE-101 | |
| 020 | |a 3540210520 |9 3-540-21052-0 | ||
| 020 | |a 9783540210528 |9 978-3-540-21052-8 | ||
| 035 | |a (OCoLC)56458590 | ||
| 035 | |a (DE-599)BVBBV019604389 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-91G |a DE-703 |a DE-634 |a DE-83 |a DE-11 |a DE-20 | ||
| 050 | 0 | |a QC174.4 | |
| 082 | 0 | |a 530.133 |2 22 | |
| 084 | |a UK 1200 |0 (DE-625)145792: |2 rvk | ||
| 084 | |a UK 2000 |0 (DE-625)145798: |2 rvk | ||
| 084 | |a 530 |2 sdnb | ||
| 084 | |a PHY 022f |2 stub | ||
| 100 | 1 | |a Akulin, Vladimir M. |d 1953- |e Verfasser |0 (DE-588)112945570 |4 aut | |
| 245 | 1 | 0 | |a Coherent dynamics of complex quantum systems |c Vladimir M. Akulin |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
| 300 | |a X, 471 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Texts and Monographs in Physics | |
| 650 | 4 | |a Dynamique différentiable | |
| 650 | 4 | |a Modèles multiniveaux (Statistique) | |
| 650 | 4 | |a Statistique quantique | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Multilevel models (Statistics) | |
| 650 | 4 | |a Quantum statistics | |
| 650 | 4 | |a Quantum theory | |
| 650 | 0 | 7 | |a Kohärenz |0 (DE-588)4139923-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Komplexes System |0 (DE-588)4114261-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |D s |
| 689 | 0 | 1 | |a Komplexes System |0 (DE-588)4114261-5 |D s |
| 689 | 0 | 2 | |a Kohärenz |0 (DE-588)4139923-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012934243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-012934243 | ||
Datensatz im Suchindex
| _version_ | 1804132961201684480 |
|---|---|
| adam_text | Contents
1 Complex Systems and Their Statistical Description 1
2 Examples of Complex Systems 17
2.1 Molecules and Atoms in Laser Fields 18
2.1.1 Laser Breaking of a Weakly Bonded Complex 18
2.1.2 Laser Induced Electronic Transitions in Molecules .... 21
2.1.3 Vibrational Excitation of Polyatomic Molecules 22
2.1.4 Transitions Among Levels with Fine Structure 24
2.1.5 Excitation of Rydberg States in Atoms 26
2.1.6 Competition of Multiphoton Processes of Different
Orders 27
2.2 Collisions and Reactions of Molecules 28
2.2.1 Collisional Redistribution of Energy 28
2.2.2 Chemical Reactions 32
2.2.3 Intermolecular Conversion and Photochemistry 35
2.3 Rydberg Molecules 38
2.3.1 Subthreshold Photoionization 38
2.3.2 Collisional Ionization 40
2.4 Atomic and Molecular Clusters 41
2.4.1 Ground Electronic State of Hot Metallic Clusters 43
2.4.2 Optical Properties of Clusters 46
2.5 Some Other Examples 48
2.5.1 Ion Traps 48
2.5.2 Disordered Solids and Surfaces 51
2.5.3 Nonlinear Optics 55
2.5.4 Cooperative Effect 56
2.5.5 Many Body Effects in Cold Rydberg Gas 58
3 Two Level and Level—Band Systems 61
3.1 Two Level System 62
3.2 Level band System 68
3.2.1 General Consideration 68
3.2.2 Continuous Band Model 70
3.2.3 Measurements and Relaxation as Processes in
Level Continuum Systems 83
VIII Contents
3.3 Long Time Behavior 88
3.3.1 General Consideration of the Long Time Limit 88
3.3.2 Quantum Recurrences 91
3.3.3 Quantum Revivals 95
3.3.4 Fractional Revivals 99
3.3.5 Revivals and the Classical Limit 104
3.4 Population of Inhomogeneous Bands 105
3.4.1 Statistically Independent Levels 106
3.4.2 Factorization of the Level Population and the
Ensemble Average 108
3.4.3 The Long Time Asymptotic Ill
4 Two Band System 123
4.1 General Consideration 124
4.1.1 Series and Diagrams for the Level Band Problem 124
4.1.2 Series and Diagrams for the Two Band Problem 128
4.1.3 The Renormalization 133
4.2 Non Degenerate Bands 139
4.2.1 General Remarks and the Main Questions 139
4.2.2 Renormalized Energies and the Population Distribution 140
4.2.3 Dynamics of the Total Populations of Bands 143
4.2.4 Different Bands 144
4.3 Two Degenerate Levels 145
4.3.1 Degenerate Levels as a Complex System 145
4.3.2 The Bands as an Ensemble of Two Level Systems .... 148
4.4 A Band Coupled to a Degenerate Level 151
4.4.1 Total Population of the Bands 151
4.4.2 Population Distribution over the Band 154
4.4.3 Role of the Interaction Rank 159
4.5 The Role of Correlations 161
4.5.1 Two levels and a band 161
4.5.2 Two Bands With a Correlated Coupling 169
4.5.3 Regime of Stabilization for the Correlated Coupling. . . 178
4.5.4 Correlation Between the Mean Squared Coupling and
the Energy Position 179
5 Soluble Time Dependent Systems 187
5.1 Algebraic Structure of Time Dependent Systems 188
5.2 Time Dependent Two Level Systems 194
5.2.1 Landau Zener Problem 194
5.2.2 Landau Zener Transition to a Decaying State 199
5.2.3 Landau Zener Transition in the Presence of
Transversal Relaxation 202
5.2.4 Excitation by a Pulse 208
5.2.5 Exponentially Rising Coupling 210
Contents IX
5.3 Semiclassical Analysis of Time Dependent Systems 213
5.3.1 Two Level Systems and the Dykhne Formula 213
5.3.2 Multilevel Systems 218
5.4 Time Dependent Level Band System 221
5.4.1 The Demkov Osherov Problem 222
5.4.2 The Landau Zener Transition at the Continuum Edge 227
6 Time Dependent Complex Systems 237
6.1 Degenerate Level Crosses an Infinite Band 238
6.2 Perturbation Proportional to a Random Matrix 244
6.2.1 Population Distribution 246
6.2.2 Response to Perturbation Proportional to a Random
Matrix 250
6.3 Harmonic Perturbation of Complex Systems 261
6.3.1 Population Distribution over a Uniform Spectrum .... 261
6.3.2 Response of the Uniform Spectrum to a Harmonic
Perturbation 265
6.4 Two Frequency Excitation of Complex Systems 270
6.4.1 Population Dynamics for Bi Harmonic Excitation .... 270
6.4.2 Response to Bi Harmonic Excitation 273
6.5 Two Band System in a Periodic Field 277
6.5.1 Dynamics of Total Band Populations 277
6.5.2 Population Distribution over the Bands 282
6.6 Control of Complex Quantum Systems 284
6.6.1 Control of Two Level Systems 286
6.6.2 Holonom and Non Holonom Systems 294
6.6.3 Control of Coherence Loss 302
7 The Dynamics of One Dimensional Relay Type Systems .. 309
7.1 Exactly Soluble Relays of Isolated Levels 309
7.1.1 Uniform Coupling and Linear Detuning 310
7.1.2 The Harmonic Oscillator in an Arbitrary
Time Dependent Field 311
7.1.3 Raman Pumping of a Harmonic Oscillator 313
7.1.4 The Harmonic Oscillator in the Simultaneous
Presence of Dipole and Raman Pumping 316
7.2 General Case of an Exactly Soluble Relay 317
7.2.1 Conditions for the Existence of a Polynomial Solution. 318
7.2.2 The Increasing Coupling Vn = y/a{n b)(n c). ... 322
7.2.3 Decreasing Coupling Vn = l/s/an + b 324
7.3 Smooth Variation of the Parameters 325
7.3.1 WKB approximation 326
7.3.2 Position and Width of the Erenfest Wavepacket 327
7.3.3 The Tunneling Probability 329
7.3.4 Applicability of the WKB Approximation 330
X Contents
7.4 Relay with disordered parameters 331
7.4.1 Ensemble Averaged Amplitudes and Corresponding
Populations 333
7.4.2 Ensemble Averaged Spectrum 335
7.4.3 Distribution of the Amplitude Ratios 335
7.4.4 Distribution of the Populations for Long Times 340
7.4.5 Dynamics of the Asymptotic Populations 342
7.5 Field Theory Method for Disordered Systems 344
7.5.1 Tunneling Transparency and Classical Bosonic Fields . 344
7.5.2 An Analogy With the Liouville Equation 352
7.5.3 Classical Fermionic Fields for the Population Dynamics 354
7.6 Population Dynamics in a Disordered Chain 360
7.6.1 Population Dynamics and Propagating Fictitious
Particles 360
7.6.2 Mapping over a Period and the Ensemble Average .... 364
7.6.3 Time Dependence of the Population Distribution 369
8 Composite Complex Quantum Systems 373
8.1 Relay of Multilevel Bands 373
8.1.1 Degenerate Bands With Random Coupling 376
8.1.2 Non Degenerate Bands With Random Coupling 380
8.1.3 Correlated Coupling 387
8.2 Random Walks and Coherent Behavior 392
8.2.1 Level Decay to a Band of Random Walks 392
8.2.2 Interference of Random Returns at Long Times.
General Consideration 397
8.2.3 Three Types of Random Walk and the Asymptotic
Decay 406
8.3 Manifestation of Quantum Complexity in the State Density . . 413
8.3.1 Spectrum Transformation Induced by Random
Perturbation 414
8.3.2 The Effect of Quantum Recurrences on the State
Density Profiles 422
8.3.3 The Density of Quantum States of Fractals 431
9 Bibliography and Problems 439
9.1 Bookshelf 440
9.2 Problems 449
References 459
Index 467
|
| any_adam_object | 1 |
| author | Akulin, Vladimir M. 1953- |
| author_GND | (DE-588)112945570 |
| author_facet | Akulin, Vladimir M. 1953- |
| author_role | aut |
| author_sort | Akulin, Vladimir M. 1953- |
| author_variant | v m a vm vma |
| building | Verbundindex |
| bvnumber | BV019604389 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.4 |
| callnumber-search | QC174.4 |
| callnumber-sort | QC 3174.4 |
| callnumber-subject | QC - Physics |
| classification_rvk | UK 1200 UK 2000 |
| classification_tum | PHY 022f |
| ctrlnum | (OCoLC)56458590 (DE-599)BVBBV019604389 |
| dewey-full | 530.133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.133 |
| dewey-search | 530.133 |
| dewey-sort | 3530.133 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02153nam a2200577 c 4500</leader><controlfield tag="001">BV019604389</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20091109 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">041123s2006 gw ad|| |||| 00||| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">970130023</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540210520</subfield><subfield code="9">3-540-21052-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540210528</subfield><subfield code="9">978-3-540-21052-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)56458590</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019604389</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC174.4</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.133</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 1200</subfield><subfield code="0">(DE-625)145792:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 2000</subfield><subfield code="0">(DE-625)145798:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">530</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 022f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Akulin, Vladimir M.</subfield><subfield code="d">1953-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)112945570</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Coherent dynamics of complex quantum systems</subfield><subfield code="c">Vladimir M. Akulin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 471 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Texts and Monographs in Physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamique différentiable</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modèles multiniveaux (Statistique)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistique quantique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie quantique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multilevel models (Statistics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Komplexes System</subfield><subfield code="0">(DE-588)4114261-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenmechanisches System</subfield><subfield code="0">(DE-588)4300046-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Komplexes System</subfield><subfield code="0">(DE-588)4114261-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012934243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-012934243</subfield></datafield></record></collection> |
| id | DE-604.BV019604389 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:01:08Z |
| institution | BVB |
| isbn | 3540210520 9783540210528 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012934243 |
| oclc_num | 56458590 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-703 DE-634 DE-83 DE-11 DE-20 |
| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-703 DE-634 DE-83 DE-11 DE-20 |
| physical | X, 471 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series2 | Texts and Monographs in Physics |
| spelling | Akulin, Vladimir M. 1953- Verfasser (DE-588)112945570 aut Coherent dynamics of complex quantum systems Vladimir M. Akulin Berlin [u.a.] Springer 2006 X, 471 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and Monographs in Physics Dynamique différentiable Modèles multiniveaux (Statistique) Statistique quantique Théorie quantique Quantentheorie Differentiable dynamical systems Multilevel models (Statistics) Quantum statistics Quantum theory Kohärenz (DE-588)4139923-7 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Komplexes System (DE-588)4114261-5 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Komplexes System (DE-588)4114261-5 s Kohärenz (DE-588)4139923-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012934243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Akulin, Vladimir M. 1953- Coherent dynamics of complex quantum systems Dynamique différentiable Modèles multiniveaux (Statistique) Statistique quantique Théorie quantique Quantentheorie Differentiable dynamical systems Multilevel models (Statistics) Quantum statistics Quantum theory Kohärenz (DE-588)4139923-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4139923-7 (DE-588)4300046-0 (DE-588)4114261-5 |
| title | Coherent dynamics of complex quantum systems |
| title_auth | Coherent dynamics of complex quantum systems |
| title_exact_search | Coherent dynamics of complex quantum systems |
| title_full | Coherent dynamics of complex quantum systems Vladimir M. Akulin |
| title_fullStr | Coherent dynamics of complex quantum systems Vladimir M. Akulin |
| title_full_unstemmed | Coherent dynamics of complex quantum systems Vladimir M. Akulin |
| title_short | Coherent dynamics of complex quantum systems |
| title_sort | coherent dynamics of complex quantum systems |
| topic | Dynamique différentiable Modèles multiniveaux (Statistique) Statistique quantique Théorie quantique Quantentheorie Differentiable dynamical systems Multilevel models (Statistics) Quantum statistics Quantum theory Kohärenz (DE-588)4139923-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Dynamique différentiable Modèles multiniveaux (Statistique) Statistique quantique Théorie quantique Quantentheorie Differentiable dynamical systems Multilevel models (Statistics) Quantum statistics Quantum theory Kohärenz Quantenmechanisches System Komplexes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012934243&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT akulinvladimirm coherentdynamicsofcomplexquantumsystems |