Introduction to modern quantum optics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 562 S. graph. Darst. |
| ISBN: | 9810234481 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804130062102953984 |
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| adam_text | IMAGE 1
INTRODUCTION TO
MODERN QUANTUM OPTICS
JIN-SHENG PENG GAO-XIANG LI HUAZHONG NORMAL UNIVERSITY, CHINA
V FE WORLD SCIENTIFIC »* SINGAPORE* NEWJERSEYL SINGAPORE * NEW JERSEY*
LONDON* HONG KONG
IMAGE 2
IX
CONTENTS
P R E F A CE
P A RT I. T H E O RY OF T HE I N T E R A C T I ON B E T W E EN A T OM A
ND
R A D I A T I ON FIELD
C H A P T ER 1. T H R EE P I C T U R ES IN Q U A N T UM M E C H A N I CS
1.1. THE SCHROEDINGER PICTURE 3
1.2. THE HEISENBERG PICTURE 8
1.3. THE INTERACTION PICTURE 11
1.3.1. EQUATION OF MOTION IN THE INTERACTION PICTURE 11
1.3.2. A FORMAL SOLUTION OF THE STATE VECTOR | P J (T)) BY THE
PERTURBATION THEORY 13
1.4. THE DENSITY OPERATOR 15
1.4.1. DENSITY OPERATOR AND ITS GENERAL PROPERTIES 16
1.4.2. SOLUTION OF THE EQUATION OF MOTION FOR THE DENSITY OPERATOR 20
C H A P T ER 2. T W O - L E V EL A T OM A ND T HE O P T I C AL B L O CH
E Q U A T I ON
2.1. TWO-LEVEL ATOM 25
2.2. HAMILTONIAN OF A TWO-LEVEL ATOM INTERACTING WITH AN ELECTROMAGNETIC
FIELD 26
2.3. THE OPTICAL BLOCH EQUATION 28
2.4. DESCRIPTION OF T HE DYNAMICAL BEHAVIOR OF A TWO-LEVEL ATOM
INTERACTING WITH THE RADIATION FIELD BY THE DENSITY MATRIX 31
2.4.1. DENSITY MATRIX EQUATION DESCRIBING A TWO-LEVEL ATOM WITHOUT DECAY
32
IMAGE 3
X
* CONTENTS
2.4.2. DENSITY MATRIX EQUATION OF A TWO-LEVEL ATOM WITH DECAY 34
C H A P T ER 3. Q U A N T I Z ED D E S C R I P T I ON OF R A D I A T I
ON FIELD
3.1. CLASSICAL DESCRIPTION OF THE ELECTROMAGNETIC FIELD IN VACUUM 37
3.2. QUANTIZATION OF THE RADIATION FIELD 42
3.2.1. QUANTIZATION OF T HE ELECTROMAGNETIC FIELD 42
3.2.2. M O M E N T UM AND SPIN OF THE PHOTON 45
3.3. STATE FUNCTIONS DESCRIBING THE LIGHT FIELD 48
3.3.1. PHOTON-NUMBER STATES 48
3.3.2. THE COHERENT STATES OF LIGHT 52
3.3.3. THE PHASE OPERATORS AND THE PHASE STATES 60
3.3.4. CHAOTIC STATES OF LIGHT 72
C H A P T ER 4. D I C KE H A M I L T O N I AN A ND J A Y N E S - C U M M
I N GS M O D EL
4.1. DICKE HAMILTONIAN OF AN A T OM INTERACTING WITH THE RADIATION FIELD
77
4.2. SPONTANEOUS EMISSION OF AN EXCITED ATOM 82
4.3. THE JAYNES-CUMMINGS MODEL 87
C H A P T ER 5. Q U A N T UM T H E O RY OF A S M A LL S Y S T EM C O U P
L ED TO
A RESERVOIR
5.1. CLASSICAL LANGEVIN EQUATION AND FOKKER-PLANCK EQUATION 93
5.1.1. LANGEVIN EQUATION 94
5.1.2. FOKKER-PLANCK EQUATION 98
5.2. MASTER EQUATION FOR A Q U A N T UM HARMONIC OSCILLATOR AND A
TWO-LEVEL ATOM 107
5.2.1. MASTER EQUATION FOR A Q U A N T UM HARMONIC OSCILLATOR 108
5.2.2. MASTER EQUATION FOR A TWO-LEVEL ATOM COUPLED TO A B A TH FIELD
116
5.3. CHARACTERISTIC FUNCTION AND THE QUASI-PROBABILITY DISTRIBUTION FOR
THE Q U A N T UM HARMONIC OSCILLATOR 118
5.3.1. NORMAL ORDERING REPRESENTATION 119
5.3.2. ANTI-NORMAL ORDERING REPRESENTATION 122
5.3.3. SYMMETRIC ORDERING REPRESENTATION 125
IMAGE 4
* CONTENTS
XI
P A RT II. T HE Q U A N T UM P R O P E R T I ES OF LIGHT
C H A P T ER 6. C O H E R E N CE OF LIGHT
6.1. CLASSICAL COHERENCE OF LIGHT 135
6.1.1. TEMPORAL COHERENCE OF LIGHT 135
6.1.2. SPATIAL COHERENCE OF LIGHT 137
6.1.3. THE FIRST-ORDER CORRELATION FUNCTION 138
6.1.4. THE HIGHER-ORDER CORRELATION FUNCTION 142
6.2. Q U A N T UM THEORY OF T HE COHERENCE OF LIGHT 145
6.2.1. Q U A N T UM CORRELATION FUNCTIONS 145
6.2.2. BUNCHING AND ANTIBUNCHING EFFECTS OF LIGHT 149
6.2.3. INTERMODE CORRELATION PROPERTY FOR THE TWO-MODE FIELD 155
C H A P T ER 7. S Q U E E Z ED S T A T ES OF LIGHT
7.1. SQUEEZED STATES OF A SINGLE-MODE FIELD 160
7.1.1. SQUEEZED COHERENT STATES 160
7.1.2. SQUEEZED VACUUM FIELD 176
7.2. SQUEEZED STATES OF A TWO-MODE RADIATION FIELD 177
7.3. HIGHER-ORDER SQUEEZING OF A RADIATION FIELD AND THE AMPLITUDE
SQUARE SQUEEZING 185
7.3.1. HIGHER-ORDER SQUEEZING OF A RADIATION FIELD 185
7.3.2. AMPLITUDE SQUARE SQUEEZING 188
7.3.3. INDEPENDENCE OF THE DIFFERENT DEFINITIONS OF THE SQUEEZING FOR
THE RADIATION FIELD 189
7.4. SQUEEZING OF LIGHT IN THE JAYNES-CUMMINGS MODEL 190
C H A P T ER 8. R E S O N A N CE F L U O R E S C E N CE
8.1. RESONANCE FLUORESCENCE DISTRIBUTION OF A TWO-LEVEL ATOM 200
8.1.1. DRESSED CANONICAL TRANSFORMATION 200
8.1.2. SPECTRAL DISTRIBUTION OF THE RESONANCE FLUORESCENCE OF A
TWO-LEVEL ATOM 206
8.1.3. LINEWIDTH OF THE FLUORESCENCE SPECTRUM 209
8.1.4. INTENSITY DISTRIBUTION OF THE RESONANCE FLUORESCENCE SPECTRUM 214
IMAGE 5
XII * CONTENTS
8.2. RESONANCE FLUORESCENCE SPECTRA OF A THREE-LEVEL ATOM 222
8.2.1. HAMILTONIAN OF A THREE-LEVEL ATOM UNDER THE INTERACTION OF A
BIMODAL FIELD 222
8.2.2. RESONANCE FLUORESCENCE SPECTRUM OF A THREE-LEVEL ATOM INTERACTING
WITH A STRONG AND A WEAK MONOCHROMATIC LASER FIELD 224
8.2.3. RESONANCE FLUORESCENCE SPECTRAL DISTRIBUTION OF A THREE-LEVEL A T
OM DRIVEN BY TWO STRONG LASER FIELDS 230
8.3. SINGLE-ATOM RESONANCE FLUORESCENCE DESCRIBED BY THE DENSITY M A T R
IX THEORY 236
C H A P T ER 9. S U P E R F L U O R E S C E N CE
9.1. ELEMENTARY FEATURES OF SUPERFLUORESCENCE 247
9.2. QUASI-CLASSICAL DESCRIPTION OF SUPERFLUORESCENCE 251
9.3. Q U A N T UM THEORETICAL DESCRIPTION OF SUPERFLUORESCENCE 258
9.3.1. HEISENBERG EQUATION OF THE SYSTEM 258
9.3.2. DICKE MODEL FOR SUPERFLUORESCENCE 263
9.3.3. Q U A N T UM STATISTICAL PROPERTIES OF SUPERFLUORESCENCE 268
9.4. SUPERFLUORESCENT BEATS 276
9.4.1. BASIC CHARACTERISTICS OF THE SUPERFLUORESCENT BEATS 276
9.4.2. SUPERFLUORESCENT BEATS IN THE DICKE MODEL 278
C H A P T ER 10. O P T I C AL B I S T A B I L I TY
10.1. BASIC CHARACTERISTICS AND THE PRODUCTION MECHANISM OF OPTICAL
BISTABILITY 287
10.2. Q U A N T UM DESCRIPTION OF THE DISPERSIVE OPTICAL BISTABILITY 294
10.2.1. HAMILTONIAN DESCRIBING THE OPTICAL BISTABILITY SYSTEM 295
10.2.2. OPTICAL BISTABILITY PROPERTIES OF THE SYSTEM 297
C H A P T ER 1 1. EFFECTS OF V I R T U AL P H O T ON P R O C E S S ES
11.1. RELATION BETWEEN T HE LAMB SHIFT OF A HYDROGEN ATOM AND THE
VIRTUAL PHOTON FIELD 305
IMAGE 6
* CONTENTS
XIII
11.2. INFLUENCE OF THE VIRTUAL PHOTON FIELD ON THE PHASE FLUCTUATIONS OF
THE RADIATION FIELD 311
11.2.1. TIME EVOLUTION OF THE PHASE OPERATOR IN THE ATOM-FIELD COUPLING
SYSTEM WITH THE ROTATING-WAVE APPROXIMATION 311
11.2.2. TIME EVOLUTION OF THE PHASE OPERATOR WITHOUT T HE ROTATING-WAVE
APPROXIMATION 315
11.3. INFLUENCES OF THE VIRTUAL PHOTON PROCESSES ON THE SQUEEZING OF
LIGHT 319
11.3.1. SQUEEZING OF THE FIELD IN THE TWO-PHOTON JAYNES-CUMMINGS MODEL
WITH THE ROTATING-WAVE APPROXIMATION 320
11.3.2. INFLUENCES OF THE VIRTUAL PHOTON PROCESSES ON THE SQUEEZING OF
LIGHT 323
P A RT III. Q U A N T UM P R O P E R T I ES OF A T O M IC B E H A V I OR
U N D ER T HE
I N T E R A C T I ON OF A R A D I A T I ON FIELD
C H A P T ER 1 2. C O L L A P S ES A ND R E V I V A LS OF A T O M IC P O
P U L A T I O NS
12.1. TIME EVOLUTION OF THE ATOMIC OPERATOR OF A TWO-LEVEL ATOM UNDER
THE INTERACTION OF A CLASSICAL ELECTROMAGNETIC FIELD 333
12.2. PERIODIC COLLAPSES AND REVIVALS OF AN ATOM INTERACTING WITH A
QUANTIZED FIELD 336
12.2.1. TIME DEVELOPMENT OF ATOMIC OPERATORS UNDER THE INTERACTION OF
THE FIELD IN A NUMBER STATE M) 337
12.2.2. PERIODIC COLLAPSES AND REVIVALS OF T HE ATOM UNDER THE
INTERACTION OF A COHERENT FIELD 338
12.3. PERIODIC COLLAPSES AND REVIVALS OF T HE A T OM IN T HE TWO-PHOTON
JAYNES-CUMMINGS MODEL 347
12.4. TIME EVOLUTION OF THE ATOMIC OPERATORS FOR A THREE-LEVEL ATOM
INTERACTING WITH A SINGLE-MODE FIELD 351
12.4.1. TIME EVOLUTION OF THE STATE VECTOR OF THE SYSTEM 351
12.4.2. PERIODIC COLLAPSES AND REVIVALS OF THE ATOMIC POPULATIONS 354
C H A P T ER 1 3. S Q U E E Z I NG EFFECTS OF T HE A T O M IC O P E R A
T O RS
13.1. DEFINITION OF THE ATOMIC OPERATOR SQUEEZING 361
IMAGE 7
XIV
* CONTENTS
13.2. SQUEEZING OF ATOMIC OPERATORS IN THE TWO-PHOTON JAYNES-CUMMINGS
MODEL 365
13.2.1. SQUEEZING OF ATOMIC OPERATORS IN THE VACUUM FIELD 367
13.2.2. SQUEEZING OF ATOMIC OPERATORS IN THE SUPERPOSITION STATE FIELD
372
13.2.3. SQUEEZING OF ATOMIC OPERATORS IN THE COHERENT STATE FIELD 375
13.3. SQUEEZING OF ATOMIC OPERATORS IN THE RESONANCE FLUORESCENCE SYSTEM
377
C H A P T ER 1 4. C O H E R E NT T R A P P I NG OF T HE A T O M IC P O P
U L A T I ON
14.1. ATOMIC POPULATION COHERENT TRAPPING AND PHASE PROPERTIES IN THE
SYSTEM OF A V-CONFIGURATION THREE-LEVEL ATOM INTERACTING WITH A BIMODAL
FIELD 382
14.1.1. TIME EVOLUTION OF THE STATE VECTOR OF THE SYSTEM 383
14.1.2. TIME EVOLUTION OF THE PHASE OPERATOR IN THE ATOM-FIELD COUPLING
SYSTEM 385
14.1.3. COHERENT TRAPPING OF THE ATOMIC POPULATION 388
14.2. COHERENT TRAPPING OF T HE ATOMIC POPULATION FOR A V-CONFIGURATION
THREE-LEVEL ATOM DRIVEN BY A CLASSICAL FIELD IN A HEAT B A TH 392
14.2.1. TIME EVOLUTION OF THE REDUCED DENSITY MATRIX P OF THE ATOM 393
14.2.2. STEADY-STATE BEHAVIOR AND THE COHERENT TRAPPING OF THE ATOMIC
POPULATIONS 396
C H A P T ER 15. Q U A N T UM C H A R A C T E R I S T I CS OF A T W O -
A T OM S Y S T EM
U N D ER T HE I N T E R A C T I ON OF T HE R A D I A T I ON FIELD
15.1. HAMILTONIAN OF A TWO-ATOM SYSTEM WITH THE DIPOLE-DIPOLE
INTERACTION 401 15.1.1. HAMILTONIAN OF THE ELECTRIC DIPOLE-DIPOLE
INTERACTION BETWEEN TWO ATOMS 402
15.1.2. HAMILTONIAN OF A TWO-ATOM SYSTEM WITH THE DIPOLE-DIPOLE
INTERACTION INDUCED BY THE FLUCTUATIONS OF THE VACUUM FIELD 403 15.2. Q
U A N T UM CHARACTERISTICS OF T HE TWO-ATOM COUPLING SYSTEM UNDER THE
INTERACTION OF A WEAK FIELD 409
15.2.1. TIME EVOLUTION OF T HE ATOMIC POPULATION INVERSION OF A TWO-ATOM
SYSTEM 411
15.2.2. INFLUENCE OF T HE DIPOLE-DIPOLE INTERACTION ON THE SQUEEZING OF
ATOMIC OPERATORS 416
IMAGE 8
* CONTENTS
XV
15.3. PERIODIC COLLAPSES AND REVIVALS AND THE COHERENT POPULATION
TRAPPING IN THE TWO-ATOM SYSTEM UNDER THE INTERACTION OF A COHERENT
FIELD 420
15.3.1. PERIODIC COLLAPSES AND REVIVALS OF ATOMIC POPULATIONS IN THE
TWO-ATOM SYSTEM 424
15.3.2. ATOMIC POPULATION COHERENT TRAPPING IN THE TWO-ATOM COUPLING
SYSTEM 431
C H A P T ER 16. A U T O I O N I Z A T I ON OF T HE A T OM IN A LASER
FIELD
16.1. AUTOIONIZATION OF THE ATOM IN A WEAK LASER FIELD 440
16.2. AUTOIONIZATION OF THE ATOM UNDER THE INTERACTION OF A STRONG LASER
FIELD 450
16.3. ABOVE THRESHOLD IONIZATION OF THE ATOM IN A STRONG LASER FIELD 457
16.3.1. INFLUENCES OF THE SECOND-ORDER IONIZATION PROCESSES ON THE
LOW-ENERGY PHOTOELECTRON SPECTRUM 464
16.3.2. HIGHER-ENERGY PHOTOELECTRON SPECTRUM AND T HE PEAK SWITCHING
EFFECT 466
C H A P T ER 17. M O T I ON OF T HE A T OM IN A LASER FIELD
17.1. ATOMIC DIFFRACTION AND DEFLECTION IN A STANDING-WAVE FIELD 472
17.1.1. STATE FUNCTION OF THE SYSTEM OF AN ATOM INTERACTING WITH A
STANDING-WAVE FIELD 472
17.1.2. DIFFRACTION OF THE ATOM UNDER THE INTERACTION OF A LASER FIELD
479 17.1.3. DEFLECTION OF THE ATOM IN A STANDING WAVE FIELD 487
17.2. FORCE ON AN ATOM EXERTED BY THE RADIATION FIELD 490
17.2.1. QUASI-CLASSICAL DESCRIPTION OF THE RADIATION FORCE 492
17.2.2. DESCRIPTION OF THE RADIATIVE DIPOLE FORCE BY MEANS OF THE
DRESSED STATE METHOD 501
C H A P T ER 18. LASER C O O L I NG
18.1. DECELERATING THE MOTION OF ATOMS BY USE OF A LASER FIELD 521
18.2. Q U A N T UM THEORETICAL DESCRIPTION OF THE LASER COOLING 524
18.2.1. HAMILTONIAN DESCRIBING THE SYSTEM OF A POLARIZATION LASER FIELD
INTERACTING WITH A QUASI-TWO-LEVEL ATOM 524
IMAGE 9
XVI
* CONTENTS
18.2.2. TIME EVOLUTION OF THE DENSITY MATRIX ELEMENTS OF THE ATOMIC
INTERNAL STATES 529
18.2.3. RADIATION FORCE ACTING ON THE ATOM BY THE LASER FIELD 535
18.2.4. PHYSICAL MECHANISM OF THE LASER COOLING 540
18.3. LIMITED T E M P E R A T U RE OF THE LASER COOLING 544
18.3.1. ATOMIC M O M E N T UM DIFFUSION IN A LASER FIELD 544
18.3.2. EQUILIBRIUM T E M P E R A T U RE OF THE LASER COOLING 552
18.3.3. LASER COOLING BELOW THE ONE-PHOTON RECOIL ENERGY BY THE
VELOCITY-SELECTIVE COHERENT POPULATION TRAPPING 554
INDEX 559
|
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| author | Peng, Jin-Sheng Li, Gao-Xiang |
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| author_sort | Peng, Jin-Sheng |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:15:03Z |
| institution | BVB |
| isbn | 9810234481 |
| language | English |
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| spelling | Peng, Jin-Sheng Verfasser aut Introduction to modern quantum optics Jin-Sheng Peng ; Gao-Xiang Li Singapore [u.a.] World Scientific 1998 XVI, 562 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantum optics Quantenoptik (DE-588)4047990-0 gnd rswk-swf Quantenoptik (DE-588)4047990-0 s DE-604 Li, Gao-Xiang Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010372171&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peng, Jin-Sheng Li, Gao-Xiang Introduction to modern quantum optics Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4047990-0 |
| title | Introduction to modern quantum optics |
| title_auth | Introduction to modern quantum optics |
| title_exact_search | Introduction to modern quantum optics |
| title_full | Introduction to modern quantum optics Jin-Sheng Peng ; Gao-Xiang Li |
| title_fullStr | Introduction to modern quantum optics Jin-Sheng Peng ; Gao-Xiang Li |
| title_full_unstemmed | Introduction to modern quantum optics Jin-Sheng Peng ; Gao-Xiang Li |
| title_short | Introduction to modern quantum optics |
| title_sort | introduction to modern quantum optics |
| topic | Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Quantum optics Quantenoptik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010372171&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT pengjinsheng introductiontomodernquantumoptics AT ligaoxiang introductiontomodernquantumoptics |