Quantum optics: including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Series: | Advanced texts in physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 341 - 354 |
| Physical Description: | XVII, 361 S. Ill., graph. Darst. |
| ISBN: | 3540650083 |
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MARC
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| 245 | 1 | 0 | |a Quantum optics |b including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions |c Miguel Orszag |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a XVII, 361 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advanced texts in physics | |
| 500 | |a Literaturverz. S. 341 - 354 | ||
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Record in the Search Index
| _version_ | 1807953400024793088 |
|---|---|
| adam_text |
MIGUEL ORSZA
G
QUANTU
M OPTICS
INCLUDIN
G NOISE REDUCTION
,
TRAPPED IONS
, QUANTU
M TRAJECTORIES,
AN
D DECOHERENCE
WITH 75 FIGURES
AN
D 79 PROBLEMS WITH HINTS FOR SOLUTIONS
SPRINGER
CONTENTS
1. EINSTEIN'
S THEOR
Y OF ATOM-RADIATION INTERACTIO
N
1
1.1 THE
A
AND
B
COEFFICIENTS 1
1.2 THERMAL EQUILIBRIUM 3
1.3 PHOTON DISTRIBUTION AND FLUCTUATIONS 3
1.4 LIGHT BEAM INCIDENT ON ATOMS 4
1.5 ELEMENTARY LASER THEORY 5
1.5.1 THRESHOLD AND POPULATION INVERSION 6
1.5.2 STEADY STAT
E 6
1.5.3 LINEAR STABILITY ANALYSIS 7
PROBLEMS 9
2
. ATOM-FIELD INTERACTION
: SEMICLASSICA
L APPROAC
H
11
2.1 BROAD-BAND RADIATION SPECTRUM 14
2.2 RABI OSCILLATIONS 15
2.3 BLOCH'S EQUATIONS 16
2.4 DECAY TO AN UNOBSERVED LEVEL 17
2.5 DECAY BETWEEN LEVELS 18
2.6 OPTICAL NUTATION 18
PROBLEMS 19
3
. QUANTIZATIO
N OF TH
E ELECTROMAGNETI
C FIEL
D
21
3.1 FOCK STATES 24
3.2 DENSITY OF MODES 25
3.3 COMMUTATION RELATIONS 26
PROBLEMS
27
4
. STATE
S OF TH
E ELECTROMAGNETI
C FIEL
D I
' 29
4.1 FURTHER PROPERTIES 30
4.1.1 COHERENT STATES ARE MINIMUM UNCERTAINTY STATES .
. 30
4.1.2 COHERENT STATES ARE NOT ORTHOGONAL 30
4.1.3 COHERENT STATES ARE OVERCOMPLETE 31
4.1.4 THE DISPLACEMENT OPERATOR 31
4.1.5 PHOTON STATISTICS 32
4.1.6 COORDINATE REPRESENTATION 33
XII CONTENTS
4.2 MIXED STATE
. THERMA
L RADIATIO
N 33
PROBLEM
S 35
5
. STATE
S O
F TH
E ELECTROMAGNETI
C FIEL
D I
I
39
5.1 SQUEEZED STATES
. GENERA
L PROPERTIE
S AN
D DETECTIO
N 39
5.1.1 TH
E SQUEEZE OPERATO
R AN
D TH
E SQUEEZED STAT
E 41
5.1.2 TH
E SQUEEZED STAT
E IS A
N EIGENSTAT
E OF
A
42
5.1.3 CALCULATIO
N OF MOMENT
S WIT
H SQUEEZED STATE
S 42
5.1.4 QUADRATUR
E FLUCTUATION
S 43
5.1.5 PHOTO
N STATISTIC
S 44
5.2 MULTIMOD
E SQUEEZED STATE
S 44
5.3 DETECTIO
N OF SQUEEZED STATE
S 45
5.3.1 ORDINAR
Y HOMODYN
E DETECTIO
N 46
5.3.2 BALANCE
D HOMODYN
E DETECTIO
N 47
5.3.3 HETERODYN
E DETECTIO
N 48
PROBLEM
S 48
6
. QUANTU
M THEOR
Y O
F COHERENC
E
51
6.1 ONE-ATO
M DETECTO
R 52
6.2 TH
E N-ATO
M DETECTO
R 55
6.3 GENERA
L PROPERTIE
S OF TH
E CORRELATIO
N FUNCTION
S 56
6.4 YOUNG'
S INTERFERENCE AN
D FIRST-ORDE
R CORRELATIO
N 58
6.5 SECOND-ORDE
R CORRELATIONS
. PHOTO
N BUNCHIN
G
AN
D ANTIBUNCHIN
G 60
6.5.1 CLASSICAL SECOND-ORDE
R COHERENC
E 60
6.5.2 QUANTU
M THEOR
Y OF SECOND-ORDE
R COHERENC
E 62
6.6 PHOTO
N COUNTIN
G 65
6.6.1 SOME SIMPLE EXAMPLE
S 68
6.6.2 QUANTU
M MECHANICAL PHOTO
N COUN
T DISTRIBUTIO
N 68
6.6.3 PARTICULA
R EXAMPLE
S 69
PROBLEM
S 70
7. PHAS
E SPAC
E DESCRIPTIO
N
71
7.1
Q-
REPRESENTATION. ANTINORMA
L ORDERIN
G 71
7.1.1 NORMALIZATIO
N 71
7.1.2 AVERAGE OF ANTINORMALL
Y ORDERE
D PRODUCT
S 72
7.1.3 SOME EXAMPLE
S 72
7.1.4 TH
E DENSIT
Y OPERATO
R IN TERM
S OF TH
E FUNCTIO
N
Q . .
73
7.2 CHARACTERISTI
C FUNCTIO
N 74
7.3 P-REPRESENTATION
: NORMA
L ORDERIN
G 74
7.3.1 NORMALIZATIO
N 74
7.3.2 AVERAGES OF NORMALL
Y ORDERE
D PRODUCT
S 75
7.3.3 SOME INTERESTIN
G PROPERTIE
S 75
7.3.4 SOME EXAMPLE
S 75
7.4 TH
E WIGNE
R DISTRIBUTION
: SYMMETRI
C ORDERIN
G 77
CONTENTS XIII
7.4.1 MOMENTS 77
PROBLEMS 78
8. ATOM-FIELD INTERACTIO
N
81
8.1 ATOM-FIELD HAMILTONIAN AND THE DIPOLE APPROXIMATION 81
8.2 A TWO-LEVEL ATOM INTERACTING WITH A SINGLE FIELD MODE .
. 83
8.3 THE DRESSED STATE PICTURE. QUANTUM RABI OSCILLATIONS 85
8.4 COLLAPSE AND REVIVALS 88
PROBLEMS 92
9. SYSTEM-RESERVOIR INTERACTION
S
93
9.1 QUANTUM THEORY OF DAMPING 93
9.2 GENERAL PROPERTIES 96
9.3 EXPECTATION VALUES OF RELEVANT PHYSICAL QUANTITIES 97
9.4 TIME EVOLUTION OF THE DENSITY MATRIX ELEMENTS 98
9.5 THE GLAUBER-SUDARSHAN REPRESENTATION
AND THE FOKKER-PLANCK EQUATION 100
9.6 TIME-DEPENDENT SOLUTION. THE METHOD OF THE EIGENFUNCTIONS 101
9.6.1 GENERAL SOLUTION 103
9.7 LANGEVIN'S EQUATIONS 103
9.7.1 CALCULATION OF THE CORRELATION FUNCTION
(F(T')F(T")^}
B
105
9.7.2 DIFFERENTIAL EQUATION FOR THE PHOTON NUMBER 105
9.8 OTHER MASTER EQUATIONS 105
9.8.1 TWO-LEVEL ATOM IN A THERMAL BATH 105
9.8.2 DAMPED HARMONIC OSCILLATOR IN A SQUEEZED BATH 107
9.8.3 APPLICATION. SPONTANEOUS DECAY
IN A SQUEEZED VACCUM 109
PROBLEMS 110
10. RESONANC
E FLUORESCENC
E
113
10.1 BACKGROUND 113
10.2 HEISENBERG'S EQUATIONS 114
10.3 SPECTRAL DENSITY AND THE WIENER-KHINCHINE THEOREM 118
10.4 EMISSION SPECTRA FROM STRONGLY DRIVEN TWO-LEVEL ATOMS . . . 120
10.5 INTENSITY CORRELATIONS 123
PROBLEMS 127
11
. QUANTUM LASER THEORY. MASTE
R EQUATIO
N APPROACH
129
11.1 HEURISTIC DISCUSSION OF INJECTION STATISTICS 131
11.2 MASTER EQUATION FOR GENERALIZED PUMP STATISTICS 131
11.3 THE QUANTUM THEORY OF THE LASER. RANDOM INJECTION
(P
= 0) 133
11.3.1 PHOTON STATISTICS 134
11.3.2 THE FOKKER-PLANCK EQUATION. LASER LINEWIDTH 137
11.3.3 ALTERNATIVE DERIVATION OF THE LASER LINEWIDTH 138
XIV CONTENTS
11.4 QUANTUM THEORY OF TH
E MICROMASER.
RANDOM INJECTION
(P =
0) 140
11.4.1 THE MICROMASER 141
11.4.2 TRAPPING STATES 144
11.5 QUANTUM THEORY OF THE LASER AND THE MICROMASER
WITH PUMP STATISTICS (P^O
) 146
PROBLEMS 150
12
. QUANTU
M LASER THEORY
. LANGEVI
N APPROAC
H
151
12.1 QUANTUM LANGEVIN EQUATIONS 151
12.1.1 GENERALIZED EINSTEIN RELATIONS 152
12.1.2 ATOMIC NOISE MOMENTS 153
12.2 C-NUMBER LANGEVIN EQUATIONS 157
12.2.1 ADIABATIC APPROXIMATION 158
12.3 PHASE AND INTENSITY FLUCTUATIONS 159
12.4 DISCUSSION 160
PROBLEMS 162
13
. QUANTU
M NOIS
E REDUCTIO
N I
163
13.1 CORRELATED EMISSION LASER (CEL) SYSTEMS:
THE QUANTUM BEAT LASER 164
13.1.1 THE MODEL 164
13.1.2 THE SOLUTION 167
13.1.3 THE MASTER EQUATION 167
13.1.4 PHOTON STATISTICS 169
13.2 OTHER CEL SYSTEMS 171
PROBLEMS 172
14. QUANTU
M NOIS
E REDUCTIO
N II
173
14.1 INTRODUCTION TO NON-LINEAR OPTICS 173
14.1.1 MULTIPLE PHOTON TRANSITIONS 173
14.2 PARAMETRIC PROCESSES WITHOUT LOSSES 177
14.3 INPUT-OUTPU
T THEORY 179
14.4 THE DEGENERATE PARAMETRIC OSCILLATOR 183
14.5 EXPERIMENTAL RESULTS 185
PROBLEMS 187
15. QUANTU
M PHAS
E
191
15.1 THE DIRAC PHASE 191
15.2 THE LOUISELL PHASE 192
15.3 THE SUSSKIND-GLOGOWER PHASE 192
15.4 THE PEGG-BARNETT PHASE ' 195
15.4.1 APPLICATIONS 198
15.5 PHASE FLUCTUATIONS IN A LASER 200
PROBLEMS 203
CONTENTS XV
16. QUANTUM TRAJECTORIES
205
16.1 MONTE CARLO WAVEFUNCTION METHOD 206
16.1.1 THE MONTE CARLO METHOD IS EQUIVALENT,
ON AVERAGE, T
O THE MASTER EQUATION 207
16.2 THE STOCHASTIC SCHRODINGER EQUATION 209
16.3 STOCHASTIC SCHRODINGER EQUATIONS AND DISSIPATIVE SYSTEMS . . . 211
16.4 SIMULATION OF A MONTE CARLO SSE 213
16.5 SIMULATION OF THE HOMODYNE SSDE 218
16.6 NUMERICAL RESULTS AND LOCALIZATION 221
16.6.1 EVOLUTION OF QUANTUM JUMPS 222
16.6.2 DIFFUSION-LIKE EVOLUTION 224
16.6.3 ANALYTICAL PROOF OF LOCALIZATION 225
16.7 CONCLUSIONS 228
PROBLEMS 229
17. ATO
M OPTIC
S
231
17.1 OPTICAL ELEMENTS 231
17.2 ATOMIC DIFFRACTION FROM AN OPTICAL STANDING WAVE 232
17.2.1 THEORY 233
17.2.2 PARTICULAR CASES 236
17.3 ATOMIC FOCUSING 239
17.3.1 THE MODEL 240
17.3.2 INITIAL CONDITIONS AND SOLUTION 241
17.3.3 QUANTUM AND CLASSICAL FOCI 242
17.3.4 THIN VERSUS THICK LENSES 243
17.3.5 THE QUANTUM FOCAL CURVE 244
17.3.6 ABERRATIONS 245
PROBLEMS 246
18. MEASUREMENTS
, QUANTU
M LIMITS AND ALL THA
T
247
18.1 QUANTUM STANDARD LIMIT 247
18.1.1 QUANTUM STANDARD LIMIT FOR A FREE PARTICLE 247
18.1.2 STANDARD QUANTUM LIMIT FOR AN OSCILLATOR 248
18.1.3 THERMAL EFFECTS 249
18.2 QUANTUM NON-DEMOLITION (QND) MEASUREMENTS 250
18.2.1 THE FREE SYSTEM 250
18.2.2 MONITORING A CLASSICAL FORCE 252
18.2.3 EFFECT OF THE MEASURING APPARATUS OR PROBE 253
18.3 QND MEASUREMENT OF THE NUMBER OF PHOTONS IN A CAVITY . . . 253
18.3.1 THE MODEL 253
18.3.2 THE SYSTEM-PROBE INTERACTION 255
18.3.3 MEASURING THE ATOMIC PHASE WITH RAMSEY FIELDS 255
18.3.4 QND MEASUREMENT OF THE PHOTON NUMBER 259
18.4 QUANTUM THEORY OF CONTINUOUS PHOTODETECTION PROCESSES .
. 261
XVI CONTENTS
18.4.1 CONTINUOUS MEASUREMENT IN A TWO-MODE SYSTEM.
PHASE NARROWING 263
PROBLEMS 267
19. TRAPPED IONS
269
19.1 PAUL TRAP 269
19.1.1 STABILITY ANALYSIS 272
19.2 THE TRAPPED ION IN THE RAMAN SCHEME 276
19.2.1 THE MODEL AND THE EFFECTIVE HAMILTONIAN 276
19.2.2 THE LAMB-DICKE EXPANSION AND RAMAN COOLING 281
19.2.3 THE DYNAMICAL EVOLUTION 282
19.2.4 QND MEASUREMENTS OF VIBRATIONAL STATES 285
19.2.5 GENERATION OF NON-CLASSICAL VIBRATIONAL STATES 288
PROBLEMS 289
20
. DECOHERENC
E
291
20.1 DYNAMICS OF TH
E CORRELATIONS 293
20.2 HOW LONG DOES IT TAKE TO DECOHERE? 295
PROBLEMS 299
A
. OPERATOR RELATION
S
301
A.I THEOREM 1 301
A.2 THEOREM 2. THE BAKER-CAMPBELL-HAUSSDORF RELATION 302
A.3 THEOREM 3. SIMILARITY TRANSFORMATION 303
B
. TH
E METHO
D OF CHARACTERISTIC
S
305
C. PROO
F OF EQ. (12.37
)
309
D
. STOCHASTI
C PROCESSE
S IN A NUTSHEL
L
311
D.I INTRODUCTION 311
D.2 PROBABILITY CONCEPTS 312
D.3 STOCHASTIC PROCESSES 313
D.3.1 THE CHAPMAN-KOLMOGOROV EQUATION 313
D.4 THE FOKKER-PLANCK EQUATION 316
D.4.1 THE WIENER PROCESS 317
D.4.2 GENERAL PROPERTIES OF TH
E FOKKER-PLANCK EQUATION .
. 319
D.4.3 STEADY STATE SOLUTION 319
D.5 STOCHASTIC DIFFERENTIAL EQUATIONS 320
D.5.1 ITO VERSUS STRATONOVICH CALCULUS 322
D.5.2 ITO'S FORMULA 324
D.6 APPROXIMATE METHODS 325
E
. DERIVATIO
N OF TH
E HOMODYN
E STOCHASTI
C
SCHRODINGER DIFFERENTIAL EQUATIO
N
329
CONTENTS XVII
F. FLUCTUATION
S
333
HINT
S FOR SOLUTION
S OF PROBLEM
S
335
REFERENCE
S 340
INDE
X
355 |
| any_adam_object | 1 |
| author | Orszag, Miguel 1944- |
| author_GND | (DE-588)121053679 |
| author_facet | Orszag, Miguel 1944- |
| author_role | aut |
| author_sort | Orszag, Miguel 1944- |
| author_variant | m o mo |
| building | Verbundindex |
| bvnumber | BV013011568 |
| classification_rvk | UH 5600 |
| classification_tum | PHY 370f |
| ctrlnum | (OCoLC)845281202 (DE-599)BVBBV013011568 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV013011568 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:05:21Z |
| institution | BVB |
| isbn | 3540650083 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008867224 |
| oclc_num | 845281202 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-634 DE-11 |
| owner_facet | DE-20 DE-703 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-634 DE-11 |
| physical | XVII, 361 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Advanced texts in physics |
| spelling | Orszag, Miguel 1944- Verfasser (DE-588)121053679 aut Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions Miguel Orszag Berlin [u.a.] Springer 2000 XVII, 361 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced texts in physics Literaturverz. S. 341 - 354 Laser (DE-588)4034610-9 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf Quantenoptik (DE-588)4047990-0 s Laser (DE-588)4034610-9 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008867224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Orszag, Miguel 1944- Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions Laser (DE-588)4034610-9 gnd Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4034610-9 (DE-588)4047990-0 |
| title | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions |
| title_auth | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions |
| title_exact_search | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions |
| title_full | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions Miguel Orszag |
| title_fullStr | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions Miguel Orszag |
| title_full_unstemmed | Quantum optics including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions Miguel Orszag |
| title_short | Quantum optics |
| title_sort | quantum optics including noise reduction trapped ions quantum trajectories and decoherence with and 79 problems with hints for solutions |
| title_sub | including noise reduction, trapped ions, quantum trajectories, and decoherence ; with .... and 79 problems with hints for solutions |
| topic | Laser (DE-588)4034610-9 gnd Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Laser Quantenoptik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008867224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT orszagmiguel quantumopticsincludingnoisereductiontrappedionsquantumtrajectoriesanddecoherencewithand79problemswithhintsforsolutions |