A group-theoretical approach to quantum optics models of atom-field interactions

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Hauptverfasser: Klimov, Andrei B. (VerfasserIn), Chumakov, Sergei M. (VerfasserIn)
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Sprache:English
Veröffentlicht: Weinheim WILEY-VCH 2009
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adam_text CONTENTS PREFAECE IX 1 ATOMIC KINEMATICS 1 1.1 KINEMATICS OF AN ATOM WITHTWO ENERGY LEVELS 1 1.2 DICKE STATES 5 1.3 ATOMIC COHERENT STATES 7 1.4 SQUEEZED ATOMIC STATES 12 1.5 ATOMS WITH N 2 ENERGY LEVELS 17 1.5.1 SYSTEMS WITH N ENERGY LEVELS 17 1.5.2 SYSTEMS WITH THREE ENERGY LEVELS 20 1.6 PROBLEMS 21 2 ATOMIC DYNAMICS 23 2.1 SPIN IN A CONSTANT MAGNETIC FIELD 23 2.2 A TWO-LEVEL ATOM IN A LINEARLY POLARIZED FIELD 24 2.2.1 THE ROTATING WAVE APPROXIMATION 24 2.3 A TWO-LEVEL ATOM IN A CIRCULARLY POLARIZED FIELD 26 1A EVOLUTION OF THE BLOCH VECTOR 28 2.5 DYNAMICS OF THE TWO-LEVEL ATOM WITHOUT THE RWA 29 2.6 COLLECTIVE ATOMIC SYSTEMS 33 2.7 ATOMIC SYSTEM IN A FIELD OFA SINGLE PULSE 39 2.8 PROBLEMS 42 3 QUANTIZED ELECTROMAGNETIC FIELD 45 3.1 QUANTIZATION OF THE ELECTROMAGNETIC FIELD 45 3.2 COHERENT STATES 47 3. BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/988815125 DIGITALISIERT DURCH VI I CONTENTS 3.9 PHASE DISTRIBUTION 65 3.10 PROBLEMS 69 4 FIELD DYNAMICS 71 4.1 EVOLUTION OF A FIELD WITH CLASSICAL PUMPING 71 4.2 LINEAR PARAMETRIC AMPLIFIER 72 4.3 EVOLUTION IN THE KERR MEDIUM 75 4.4 SECOND HARMONIE GENERATION IN THE DISPERSIVE LIMIT 77 4.5 RAMAN DISPERSION 79 4.6 PROBLEMS 81 5 THE JAYNES-CUMMINGS MODEL 83 5.1 THE INTERACTION HAMILTONIAN 83 5.2 THE SPECTRUM AND WAVE FUNCTIONS 85 5.3 EVOLUTION OPERATOR 87 5.4 THE CLASSICAL FIELD LIMIT 90 5.5 COLLAPSES AND REVIVALS 92 5.5.1 THE DISPERSIVE LIMIT 93 5.5.2 EXACT RESONANCE 95 5.6 THE JCM WITH AN INITIAL THERMAL FIELD 97 5.7 TRAPPING STATES 99 5.8 FACTORIZATION OF THE WAVE FUNCTION 101 5.9 EVOLUTION IN FIELD PHASE SPACE 104 5.10 THE JCM WITHOUT RWA 105 5.10.1 DIAGONALIZATION OF THE HAMILTONIAN 106 5.10.2 ATOMIC INVERSION 109 CONTENTS VII 7 ATOMIC SYSTEMS IN A STRANG QUANTUM FIELD 143 7.1 DICKE MODEL IN A STRONG FIELD 143 7.2 FACTORIZATION OF THE WAVE FUNCTION 146 7.3 EVOLUTION IN PHASE SPACE 148 7.4 DICKE MODEL IN THE PRESENCE OF THE KERR MEDIUM 152 7.5 GENERATION OF THE FIELD SQUEEZED STATES 154 7.6 COHERENCE TRANSFER BETWEEN ATOMS AND FIELD 157 7.7 RESONANT FLUORESCENCE SPECTRUM 159 7.8 ATOMIC SYSTEMS WITH N ENERGY LEVELS 162 7.8.1 CASCADE CONFIGURATION 3 167 7.8.2 A-TYPE CONFIGURATION 168 7.8.3 V-TYPE CONFIGURATION 169 7.9 DICKE MODEL IN THE DISPERSIVE LIMIT 169 7.10 TWO-PHOTON DICKE MODEL 172 7.11 EFFECTIVE TRANSITIONS IN THREE-LEVEL ATOMS WITH A CONFIGURATION 180 7.12 N-LEVEL ATOMS OF CASCADE CONFIGURATION 183 7.13 PROBLEMS 186 8 QUANTUM SYSTEMS BEYOND THE ROTATING WAVE APPROXIMATION 189 8.1 KINEMATIC AND DYNAMIC RESONANCES IN QUANTUM SYSTEMS 189 8.2 KINEMATIC RESONANCES." GENERIC-ATOM FIELD INTERACTIONS 192 VIII CONTENTS 10 QUASI-DISTRIBUTIONS IN QUANTUM OPTICS 237 10.1 QUANTIZATION AND QUASI-DISTRIBUTIONS 237 10.1.1 WEYL QUANTIZATION METHOD 237 10.1.2 MOYAL-STRATONOVICH-WEYL QUANTIZATION 240 10.1.3 ORDERING PROBLEM IN L(H) 241 10.1.4 STAR PRODUCT 242 10.1.5 PHASE-SPACE REPRESENTATION AND QUANTUM-CLASSICAL CORRESPONDENCE 243 10.2 ATOMIC QUASI-DISTRIBUTIONS 245 10.2.1 P FUNCTION 246 10.2.2 Q FUNCTION 247 10.2.3 STRATONOVICH-WEYL DISTRIBUTION 250 10.2.4 S-ORDERED DISTRIBUTIONS 251 10.2.5 STAR PRODUCT 252 10.2.6 EVOLUTION EQUATIONS 255 10.2.7 LARGE REPRESENTATION DIMENSIONS (SEMIDASSICAL LIMIT) 256 10.3 FIELD QUASI-DISTRIBUTIONS 262 10.3.1 P FUNCTION 262 10.3.2 Q FUNCTION 264 10.3.3 WIGNER FUNCTION 265 10.3.4 S-ORDERED DISTRIBUTIONS 266 10.4 MISCELLANEOUS APPLICATIONS 269 10.4.1 KERR HAMILTONIAN 269 10.4.2 THE DICKE HAMILTONIAN 271 10.5 PROBLEMS 276 1
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author Klimov, Andrei B.
Chumakov, Sergei M.
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spelling Klimov, Andrei B. Verfasser (DE-588)137298285 aut
A group-theoretical approach to quantum optics models of atom-field interactions Andrei B. Klimov and Sergei M. Chumakov
Weinheim WILEY-VCH 2009
IX, 322 S. graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Atoomfysica gtt
Groepentheorie gtt
Kwantumoptica gtt
Mathematisches Modell
Quantum electrodynamics Mathematical models
Quantum optics Mathematical models
Gruppentheorie (DE-588)4072157-7 gnd rswk-swf
Quantenoptik (DE-588)4047990-0 gnd rswk-swf
Quantenoptik (DE-588)4047990-0 s
Gruppentheorie (DE-588)4072157-7 s
DE-604
Chumakov, Sergei M. Verfasser (DE-588)137298307 aut
text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3112768&prov=M&dok_var=1&dok_ext=htm Inhaltstext
DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017113889&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Klimov, Andrei B.
Chumakov, Sergei M.
A group-theoretical approach to quantum optics models of atom-field interactions
Atoomfysica gtt
Groepentheorie gtt
Kwantumoptica gtt
Mathematisches Modell
Quantum electrodynamics Mathematical models
Quantum optics Mathematical models
Gruppentheorie (DE-588)4072157-7 gnd
Quantenoptik (DE-588)4047990-0 gnd
subject_GND (DE-588)4072157-7
(DE-588)4047990-0
title A group-theoretical approach to quantum optics models of atom-field interactions
title_auth A group-theoretical approach to quantum optics models of atom-field interactions
title_exact_search A group-theoretical approach to quantum optics models of atom-field interactions
title_full A group-theoretical approach to quantum optics models of atom-field interactions Andrei B. Klimov and Sergei M. Chumakov
title_fullStr A group-theoretical approach to quantum optics models of atom-field interactions Andrei B. Klimov and Sergei M. Chumakov
title_full_unstemmed A group-theoretical approach to quantum optics models of atom-field interactions Andrei B. Klimov and Sergei M. Chumakov
title_short A group-theoretical approach to quantum optics
title_sort a group theoretical approach to quantum optics models of atom field interactions
title_sub models of atom-field interactions
topic Atoomfysica gtt
Groepentheorie gtt
Kwantumoptica gtt
Mathematisches Modell
Quantum electrodynamics Mathematical models
Quantum optics Mathematical models
Gruppentheorie (DE-588)4072157-7 gnd
Quantenoptik (DE-588)4047990-0 gnd
topic_facet Atoomfysica
Groepentheorie
Kwantumoptica
Mathematisches Modell
Quantum electrodynamics Mathematical models
Quantum optics Mathematical models
Gruppentheorie
Quantenoptik
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