Fluctuations quantiques: Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
1997
|
| Series: | École d'Été de Physique Théorique <LesHouches>: Session
63 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXXIV, 606 S. Ill., graph. Darst. |
| ISBN: | 0444825932 |
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| 245 | 1 | 0 | |a Fluctuations quantiques |b Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations |c éd. par S. Reynaud ... |
| 246 | 1 | 1 | |a Quantum fluctuations |
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 1997 | |
| 300 | |a XXXIV, 606 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a École d'Été de Physique Théorique <LesHouches>: Session |v 63 | |
| 650 | 7 | |a Kwantummechanica |2 gtt | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Fluctuations (Physics) |v Congresses | |
| 650 | 4 | |a Quantum optics |v Congresses | |
| 650 | 4 | |a Quantum theory |v Congresses | |
| 650 | 0 | 7 | |a Quantenfluktuation |0 (DE-588)4280829-7 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Reynaud, Serge |e Sonstige |4 oth | |
| 830 | 0 | |a École d'Été de Physique Théorique <LesHouches>: Session |v 63 |w (DE-604)BV000022608 |9 63 | |
| 856 | 4 | 2 | |m Digitalisierung TU Muenchen |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008130192&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1804126610090098688 |
|---|---|
| adam_text | CONTENTS
Lecturers
ix
Participants
xi
Préface
(French)
xvii
Preface (English)
xxi
Course
1.
Quantum Fluctuations in Optical Systems,
by P.L. Knight
1
1.
Introduction
5
2.
Quantum interference and the construction of nonclassical states
6
2.1.
Nonclassical light, quadratures and phase-sensitive
observables
6
2.2.
Phase-space and quasi-probabilities
14
2.3.
Quantum noise as a stochastic process
16
2.4.
Marginal distributions and reconstruction of Wigner functions
19
2.5.
Joint measurements of
p, q
in phase space
20
2.6.
Phase-space sampling entropies
27
2.7.
Mutual information and
entropie
uncertainty
28
2.8.
Building nonclassical states by quantum interference
30
3.
Dissipation versus coherent evolution: decoherence
35
4.
Unravelling the master equation
37
5.
Quantum jumps
42
5.1.
Intrinsic or extrinsic jumps
42
5.2.
Observation of quantum jumps
43
6.
Quantum state diffusion
49
7.
Comparison of ensemble averaged results
57
8.
Entanglement in quantum optics
59
8.1.
Entanglement
59
8.2.
The Schmidt decomposition
61
8.3.
Two-mode squeezed state
65
8.4.
Entangled fields and atoms
67
8.5.
Jaynes-Cummings model
70
8.6.
Perspective on Schmidt decomposition
73
8.7.
Conditional measurements and entangled photon pairs
73
9.
Conclusions
75
References
75
XXV
Contents
Course
2.
Quantum Noise in Quantum Optics: the
Stochastic
Schrödinger
Equation, by P.
Zoller
and
С
W.
Gardiner
79
1.
Introduction
83
2.
An introductory example: Mollow s pure state analysis of resonant light scattering
85
2.0.
1
.
Hierarchy of equations
85
2.0.2.
Interpretation
87
3.
Wave-function quantum stochastic differential equations
88
3.1.
The model
88
3.1.1.
Approximations
88
3.2.
Quantum stochastic calculus
90
3.2.1.
Quantum stochastic integration
90
3.2.2.
Example and discussion
91
3.2.3.
Comparison of
Ito
and Stratonovich stochastic differential equations (SDE)
93
3.3.
Quantum stochastic
Schrödinger.
density matrix and
Heisenberg
equations
93
3.3.1.
Equation of motion for the stochastic density operator
95
3.3.2.
Remarks
%
3.4.
Number processes and photon counting
96
3.5.
Input and output
97
4.
Counting and diffusion processes: stochastic
Schrödinger
equation and wave function
simulation
99
4.1.
Photon counting and exclusive probability densities
99
4.1.1.
Mandel s counting formula
99
4.1.2.
The characteristic functional and system averages
100
4.1.3.
Generalization to many channels
102
4.1.4.
Examples of the use of the characteristic functional
103
4.2.
Conditional dynamics and a posteriori states
103
4.3.
Stochastic
Schrödinger
equation and wave function simulation for counting processes
105
4.3.1.
Stochastic
Schrödinger
equation
105
4.3.2.
Equation of motion for the stochastic density matrix
106
4.3.3.
Wave function simulation
107
4.4.
Simulation of stationary two-time correlation functions
109
4.5.
Diffusion processes and
homodyne
detection
11
1
4.6.
Stochastic
Schrödinger
equation and wave function simulation for diffusion processes
112
5.
Application and illustrations
115
5.1.
State preparation by observation of quantum jumps in an ion trap
115
5.1.1.
Quantum jumps in three-level atoms
116
5.1.2.
Fock states in the Jaynes-Cummings model
117
5.2.
Wave function simulations of laser cooling: applications to quantized optical molasses 1
19
5.2.1.
Quantized atomic motion in optical molasses
121
5.2.2.
Localization by spontaneous emission
125
5.3.
Quantum computing, quantum noise and continuous observation
128
5.3.1.
Realization of the elements of a quantum computer
129
5.3.2.
Errors and their correction
І31
Appendix A. An exercise in
Ito
calculus
133
References
134
XXVI
Contents
Course
3.
The Quantum Optics of Dielectrics,
by S.M. Barnett
137
1.
Introduction
141
2.
The problem of propagation
142
3.
Hopfield theory
144
3.1.
Dispersion only
144
3.2.
Dispersion and absorption losses
150
4.
Propagation of non-classical states
154
5.
Lifshitz theory
158
5.1.
Infinite homogeneous dielectric
160
5.2.
Dielectric interfaces
163
5.3.
Cavity modes
167
6.
Spontaneous emission in dielectrics
169
6.1.
General considerations
169
6.2.
Dispersive absorbing medium
170
6.3.
Local field corrections
172
6.4.
Longitudinal field effects
174
7.
Summary
176
References
177
Course
4.
Quantum Fluctuations in Light Beams,
by
С
Fahre 181
1.
Introduction
185
2.
Noise in optical measurements
186
2.1.
Autocorrelation function and noise spectral density
186
2.2.
Noise variances
187
2.3.
Usual noises
188
3.
Quantum description of light beams
188
3.1.
Light beam in classical optics
188
3.2.
Definition of the field envelope operator
189
3.3.
Direct photodetection of light intensity
191
3.4.
Quantum calculation of photocurrent noise spectral densities
192
4.
Input-output relations
194
4.1.
Free propagation
195
4.2.
The beamsplitter
195
5.
Quadrature components of a light beam
196
5.1.
Balanced
homodyne
detection
196
5.2. Heisenberg
relations for the noise spectral density of the quadrature components
197
5.3.
Standard quantum limit
198
5.4.
Intensity and phase noise for an intense beam
199
6.
Linear input-output transformations for light beams
200
6.1.
Linear losses
200
6.2.
Linear gain
201
6.3.
Non
ideal photodetector
202
7.
Generation of light beams with nonclassical fluctuations
202
xxvii
Contents
7.1. Linear
processing of light beams
203
7.2.
Parametric processes in a second-order nonlinear medium
203
7.3.
Other xi2) processes
206
7.4.
χ&
processes
206
7.5.
Linearization method for quantum fluctuations
208
8.
Enhancement of nonclassical effects by resonant cavities
209
8.1.
Single port optical cavities
209
8.2.
Intracavity x(2)effects
210
8.3.
Intracavity
χ<3)
effects
211
9.
Conclusion
212
References
212
Course
5.
Sub-Poisson Photon Statistics, by L. Davidovich
215
1.
Introduction
219
2.
Squeezing, sub-Poisson photon statistics, and anti-bunching
222
2.1.
Quadratures of the electromagnetic field
222
2.2.
Phase-space representations
223
2.3.
Squeezed states
224
2.4.
Number-phase squeezing
226
2.5.
Relation between photon anti-bunching and sub-Poisson statistics
229
3.
Sources of quantum noise in lasers
232
3.1.
The generalized master equation
232
3.2.
Steady state and photon-number dispersion
234
3.3.
Lasers
237
3.4. Micromasers 239
3.5.
Poissonian-pumped micromaser: the quantum steady state
242
3.6.
Trapping states
243
3.7.
Regularly pumped micromaser
245
4.
Heisenberg-Langevin approach
246
4.1.
Heisenberg-Langevin equations
248
4.1.1.
Macroscopic operators
251
4.1.2.
Equivalent
с
-number equations
254
4.2.
Semiclassical theory and steady state
256
4.3.
Dynamics of fluctuations
257
4.4.
Photon-number variance
258
4.5.
Spectra of the output field
259
4.6.
Quantum noise compression
260
5.
Conclusions
262
References
263
XXVIII
Contents
Course
6.
Quantum Tomography of Nonclassical Light,
by
S.F. Pereira,
G.
Breitenbach,
S. Schiller,
and J.
Mlýnek
267
1.
Introduction
271
2. Generation
of squeezed light
272
2.1.
Experimental set-up
273
2.2.
Experimental procedure
275
3.
Measurements of squeezing
277
3.1.
The squeezing spectrum
277
3.2.
Squeezing and fluctuation statistics at a fixed frequency
278
4.
Characterization of the squeezed state
281
4.1.
Determination of the Wigner function
282
4.2.
Determination of the density matrix and photon number distribution
282
5.
Conclusions
284
References
286
Course
7.
Sensitivity in Quantum Measurements,
by V.B. Braginsky
287
1.
Introduction
291
2.
Isolation of the object from the heat bath
292
2.1.
Microwave resonators
292
2.2.
Optical resonators
294
2.3.
Mechanical oscillators
294
2.4.
Free mass
295
2.5.
Fluctuations and friction produced by electromagnetic vacuum
295
3.
Quantum non-demolition measurements
296
3.1.
Standard quantum limits and quantum behavior of macroscopic objects
296
3.2.
Definition of the Quantum-Non-Demolition measurements
297
3.3.
Achievements in the area of QND measurements
299
3.4.
Prospects of QND measurements in the near future
299
3.5.
Measurement of phase of quantum oscillator
300
4.
Quantum limitations in gravitational experiments
302
4.1.
Sensitivity of laser gravitational antenna today and in the near future
302
4.2.
Is it possible to measure the quantization of gravitational interaction?
305
5.
Achievable resolution in symmetry tests and the search for new essences
305
References
307
Course
8.
Cavity Quantum Electrodynamics,
by J.M. Raimond and S. Haroche
309
1.
The atom-cavity system
314
1.1.
Orders of magnitude
314
1.2.
The dressed atom picture
315
xxix
Contents
2.
Resonant
atom-field
interaction
316
2.1.
Quantum
Rabi
nutation: a test of field amplitude quantization in the cavity
316
2.2.
Resonant atom—field entanglement
319
3.
Non-resonant atom-field entanglement
320
3.1.
Phase entanglement
320
3.2.
An experiment on the dispersive interaction
322
3.3.
Quantum
non
demolition intensity measurement
324
3.4.
Phase
Schrödinger
cats
325
3.5.
Quantum switches
326
3.6.
Quantum gates
327
3.7.
Teleportation
328
4.
Mie
resonances of dielectric microspheres
329
5.
Conclusion
334
References
335
Course
9.
Quantum Non-Demolition Measurements in
Optics, by Ph. Grangier
337
1.
Introduction
341
2.
Quantum non-demolition measurements in optics
342
2.1.
Different regimes for QND measurement in optics
342
2.2.
From QND devices to quantum duplicators
343
3.
QND criteria
343
3.1.
Presentation
343
3.2.
Quantum state preparation ability
344
3.3.
Input-output criteria
345
3.4.
Discussion and standard quantum limits
346
4.
Experimental implementations
347
5.
Conclusion
348
References
349
Course
10.
Quantum Fluctuations in Electrical Circuits,
by M.H. Devoret
351
1.
Introduction
355
2.
Hamiltonian description of the classical dynamics of electrical circuits
359
2.1.
Non-dissipative circuits
359
2.1.1.
Branch variables
359
2.1.2.
The degrees of freedom of a circuit
362
2.1.3.
Lagrangian of a circuit
363
2.1.4.
Node charges: the conjugate momenta of node fluxes
364
2.1.5.
Hamiltonian of a circuit
365
2.1.6.
Mechanical analogy
365
2.1.7.
Fields to circuits, circuits to fields
366
2.2.
Circuits with linear dissipative elements
366
XXX
Contents
2.2.1. The Caldeira-Leggett
model
366
2.2.2.
Voltage and current sources
369
2.2.3.
The classical fluctuation-dissipation theorem
369
3.
Quantum mechanics of linear dissipative circuits
370
3.1.
Quantum description of electrical circuits
370
3.2.
Useful relations
371
3.3.
The quantum LC oscillator
372
3.4.
The quantum fluctuation dissipation theorem
374
3.5.
Interpretation of the quantum spectral density
375
3.6.
Quantum fluctuations in the damped LC oscillator
375
3.7.
Low temperature limit
378
4.
Quantum fluctuations in superconducting tunnel junction circuits
379
4.1.
Energy operator for
a Josephson
element
379
4.2.
The phase difference operator
380
4.3.
Macroscopic quantum tunneling
381
4.4.
Influence of dissipation on macroscopic quantum tunneling
383
4.5.
Zero-voltage conductance of small
Josephson
junctions
384
4.6.
Circuits with islands
385
References
385
Course
11.
Spectral Fluctuations in Disordered Metals,
by G. Montambaux
387
1.
Introduction, the relevant scales
391
2.
Metal as a quantum chaotic system
393
3.
Level correlations in a disordered metal
398
3.
1
.
A brief reminder about weak-localization
400
3.2.
Semi-classical description of energy levels correlations
402
3.3.
Breakdown of time-reversal symmetry, Aharonov-Bohm flux
405
4.
Persistent currents
410
4.1.
Introduction
410
4.2.
The typical current
411
4.3.
The average current
413
4.3.1.
The canonical current
414
4.3.2.
Electron-electron interactions
415
4.3.3.
Local versus global fluctuations of the DOS
417
4.4.
Temperature dependence
419
5.
Conductance and spectrum
419
5.1.
The Thouless formula and its extensions
419
5.2.
Universal Conductance Fluctuations
421
6.
Parametric correlations
422
6.1.
Curvatures distribution
422
6.2.
Parametric correlations
424
7.
Conclusion
426
References
427
XXXI
Contents
Course
12. Quantum
Fluctuations
and Nonlinear Optical
Patterns, by
LA. bugiato, A. Gatti,
and
H. Wiedemann
431
1.
Introduction
435
2.
Pattern formation in optical systems
436
3.
The quantum model for the degenerate Optical Parametric Oscillator
(ΟΡΟ)
443
4.
Quantum effects in the
ΟΡΟ
above threshold
445
5.
Spatial structure of squeezed states
451
6.
Quantum images in the
ΟΡΟ
below threshold
458
7.
Conclusions
464
References
465
Course
13.
Quantum and Wave Signatures of Chaos,
by
F
Haake
467
1.
Introduction
471
2.
Periodically kicked tops
472
3.
Some quantum distinctions between regular and chaotic behaviour
475
3.1.
Weak vs. strong sensitivity to perturbations
475
3.2.
Near-periodic vs. erratic sequences of recurrences
476
3.3.
Uninhibited vs. avoided crossings of nodal lines in two dimensional systems
479
3.4.
Level clustering vs. level repulsion
479
4.
Two dimensional microwave billiards
487
References
496
Course
14.
Quantum Fluctuations and Inertia,
by M. T. Jaekel and S. Reynaud
499
1.
Introduction
503
2.
Quantum fields with boundaries
505
2.1.
Radiation pressure of quantum fluctuations
505
2.2.
Quantum fluctuations of radiation pressure
510
3.
Quantum Brownian motion
512
3.1.
Linear response formalism in Quantum Field Theory
513
3.2.
Quantum
Langevin
equation
517
3.3.
Quantum fluctuations of position
520
4.
Quantum limits in space-time
521
4.1.
Quantum limits
522
4.2.
Ultimate quantum noise
525
4.3.
Space-time fluctuations
526
5.
Quantum fluctuations and accelerated motion
529
5.1.
Inertia of quantum fluctuations
529
5.2.
Quantum fluctuations of mass
533
5.3.
Acceleration and vacuum fluctuations
535
xxxii
Contents
6.
Conclusion
538
References
538
Course
15.
Vacuum Fluctuations and Cosmology,
by L.P. Grishchuk
541
1.
Electrodynamics and gravidynamics
545
2.
Amplification of classical cosmological perturbations
549
3.
Quantized cosmological perturbations and squeezing
554
4.
Statistics of the microwave background anisotropies caused by squeezed cosmological
perturbations
558
References
561
Seminar
1.
The Hermitian Optical Phase Operator,
by S.M. Barnett and D. T. Pegg
563
1.
The nature of phase
564
2.
Quantum optical phase
565
3.
Phase measurement
572
4.
Summary
573
References
574
Seminar
2.
Dissipative Quantum Systems, by G.-L. Ingold
577
1.
Introduction
578
2.
Damped harmonic oscillator
578
3.
Dissipation in quantum mechanics
580
4.
Path integrals and effective action
581
5.
Decay of a metastable state
582
References
584
Seminar
3.
Sonoluminescence as Quantum Vacuum
Radiation, by C.
Eberlein 585
1.
Introduction
-
What is sonoluminescence?
586
2.
Static and dynamic vacuum effects
587
3.
Moving dielectric interfaces
588
4.
Two-photon emission
590
5.
Application to sonoluminescence
591
References
593
ХХХШ
Contents
Seminar 4. Fundamental
Physics
Experiments in Space,
by Y.
Jaf
ry
595
1.
Introduction
596
2.
LISA
596
3.
STEP
601
4.
Ultimate limits
604
References
605
XXXIV
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| genre | (DE-588)1071861417 Konferenzschrift 1995 Les Houches gnd-content |
| genre_facet | Konferenzschrift 1995 Les Houches |
| id | DE-604.BV012012927 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:20:11Z |
| institution | BVB |
| isbn | 0444825932 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008130192 |
| oclc_num | 36407840 |
| open_access_boolean | |
| owner | DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| owner_facet | DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-355 DE-BY-UBR |
| physical | XXXIV, 606 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Elsevier |
| record_format | marc |
| series | École d'Été de Physique Théorique <LesHouches>: Session |
| series2 | École d'Été de Physique Théorique <LesHouches>: Session |
| spelling | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations éd. par S. Reynaud ... Quantum fluctuations Amsterdam [u.a.] Elsevier 1997 XXXIV, 606 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier École d'Été de Physique Théorique <LesHouches>: Session 63 Kwantummechanica gtt Quantentheorie Fluctuations (Physics) Congresses Quantum optics Congresses Quantum theory Congresses Quantenfluktuation (DE-588)4280829-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1995 Les Houches gnd-content Quantenfluktuation (DE-588)4280829-7 s DE-604 Reynaud, Serge Sonstige oth École d'Été de Physique Théorique <LesHouches>: Session 63 (DE-604)BV000022608 63 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008130192&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations École d'Été de Physique Théorique <LesHouches>: Session Kwantummechanica gtt Quantentheorie Fluctuations (Physics) Congresses Quantum optics Congresses Quantum theory Congresses Quantenfluktuation (DE-588)4280829-7 gnd |
| subject_GND | (DE-588)4280829-7 (DE-588)1071861417 |
| title | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations |
| title_alt | Quantum fluctuations |
| title_auth | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations |
| title_exact_search | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations |
| title_full | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations éd. par S. Reynaud ... |
| title_fullStr | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations éd. par S. Reynaud ... |
| title_full_unstemmed | Fluctuations quantiques Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations éd. par S. Reynaud ... |
| title_short | Fluctuations quantiques |
| title_sort | fluctuations quantiques les houches session lxiii 27 juin 28 juillet 1995 quantum fluctuations |
| title_sub | Les Houches, session LXIII, 27 Juin - 28 Juillet 1995 = Quantum fluctuations |
| topic | Kwantummechanica gtt Quantentheorie Fluctuations (Physics) Congresses Quantum optics Congresses Quantum theory Congresses Quantenfluktuation (DE-588)4280829-7 gnd |
| topic_facet | Kwantummechanica Quantentheorie Fluctuations (Physics) Congresses Quantum optics Congresses Quantum theory Congresses Quantenfluktuation Konferenzschrift 1995 Les Houches |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008130192&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022608 |
| work_keys_str_mv | AT reynaudserge fluctuationsquantiquesleshouchessessionlxiii27juin28juillet1995quantumfluctuations AT reynaudserge quantumfluctuations |