The quantum theory of nonlinear optics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
2014
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | VIII, 373 S. graph. Darst. |
| ISBN: | 1107004217 9781107004214 |
Staff View
MARC
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Record in the Search Index
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| adam_text | A valuable contribution to the scientific literature, addressing issues that fall
at the boundary between quantum optics and nonlinear optics... the authors have
done a good job in selecting the topics for inclusion in their very fine text.
Robert
W
Boyd,
Canada Exceilence Research Chair in Quantum Nonlinear Optics, University of Ottawa,
Professor of Optics and of Physics, University of Rochester
Two of the pioneers of quantum optics have produced a clear introduction to the
quantum theory of nonlinear optical processes with applications ranging from laser
physics to quantum information... This is an essential introduction for graduate students,
who will appreciate the carefully chosen problem sets, and a valuable reference for
experienced researchers in the field.
Gerard J. Mi I burn,
Centre Director, Centre for Engineered Quantum Systems, University of Queensland
Playing a prominent role in communications, quantum science, and laser physics, quantum
nonlinear optics is an increasingly important field. This book presents a self-contained treatment
of -field quantization, and covers topics such as the canonical formalism for fields, phase-space
representations, and the encompassing problem of quantization of electrodynamics in linear
and nonlinear media. Starting with a summary of classical nonlinear optics, it then explains in
detail the calculation techniques for quantum nonlinear optical systems and their applications,
quantum and classical noise sources in optical fibers, and applications of nonlinear optics to
quantum information science. Supplemented by end-of-chapter exercises and detailed
examples of applications to different systems, this book is a valuable resource for graduate
students and researchers in nonlinear optics, condensed matter physics, quantum information,
and atomic physics. A solid foundation in quantum mechanics and classical electrodynamics
is assumed, but no prior knowledge of nonlinear optics is required.
Peter D.
Drummond
is a Distinguished Professor in the Faculty of Science, Engineering
and Technology, Swinburne University of Technology, Melbourne. His current research
focuses on ultra-cold atomic physics, quantum information, and bio-informatics.
Mark Hillery is a Professor at the Department of Physics and Astronomy, Hunter College,
and in the Physics Graduate Program, Graduate Center, City University of New York.
His research focuses on the field of quantum information.
Cover
ii ¡t sirat
on: artwork by Igor Minarik.
Contents
Prefací
Introduction
1
Classical nonlinear optics
1.1
Linear polarizability
1.2
Nonlinear polarizability
1.3
Frequency dependence and dispersion
1.4
Power and energy
1.5
Order-of-magnirude estimates
1.6
The two-level atom
1.7
Local-field corrections
1.8
Propagation in a nonlinear medium
1.9
Raman processes
Additional reading
Problems
2
Field quantization
2. 1
Quantum theory
2.2
Fock space for bosons
2.3
Many-body operators
2.4
Fock space for
fermions
2.5
Canonical quantization
2.6
One-dimensional string
2.7
Scattering matrix
2.8
Quantized free electromagnetic field
2.9
Constrained quantization
2.10
Exponential complexity
Additional reading
Problems
3
Quantized fields in dielectric media
3.1
Dispersiontess linear quantization
3.2
Scattering in linear media
3.3
Quantizing a nonlinear dielectric
3.4
Homogeneous nonlinear dielectric
page
ix
1
4
4
7
10
12
16
17
24
29
32
34
35
37
37
41
44
48
50
53
57
66
73
78
81
81
83
83
89
92
94
vi
Contents
3.5
Inhomogeneous
nonlinear dielectric
96
3.6
Dispersion
103
3.7
One-dimensional waveguide
108
Additional reading
113
Problems
113
4
Microscopic description of media
116
4.1
The Coulomb gauge
116
4.2
The
multipolar
gauge
119
4.3
Hamiltonian for a polarizable medium
123
4.4
Dipole-coupling approximation
127
4.5
Linear medium
129
4.6
Quantization of the linear model
134
4.7
Two-level atomic medium
136
4.8
Polaritonic limit
139
Additional reading
142
Problems
142
5
Coherence and quantum dynamics in simple systems
144
5.1
Photon counting and quantum coherence
144
5.2
Quadratures and beam-splitters
149
5.3
Coherent states and P-representations
151
5.4
Nonclassical states
154
5.5
Two-mode states
157
5.6
Mode entanglement
160
5.7
Parametric interactions
163
5.8
Anharmonic oscillator and Schrodinger s cat
170
5.9
Jaynes-Cummings dynamics
175
5.10
Parametric approximation
177
Additional reading
181
Problems
182
6
Decoherence and reservoirs
184
6Л
Reservoir Hamiltonians
184
6.2
Absorption
187
6.3
Gain
191
6.4
Phase decoherence
195
6.5
Input-output relations
198
6.6
Photon flux and density
201
6.7
Two-time correlation functions
206
6.8
Master equations
207
6.9
Gain and damping rates
211
6.10
Driven linear cavity example
212
Contents
Additional reading
214
Problems
215
7
Phase-space distributions
217
7.1
Diffusion
processes
217
7.2
Fokker-Planck equations
220
7.3
Stochastic differential equations
223
7.4
Phase-space representations
228
7.5
Wigner and ^-representations
231
7.6
Nonclassical representations
235
7.7
Operator identities and quantum dynamics
241
7.8
Quasi-probability Fokker-Planck equation
245
7.9
Linearized fluctuation theory
250
7.10
Functional phase-space representations
251
Additional reading
253
Problems
254
8
Single-mode devices
256
8.1
Linear cavity
256
8.2
Phase-space representation methods
257
8.3
Driven nonlinear absorber
262
8.4
Squeezing and photon anti-bunching
264
8.5
High-0 laser
268
8.6
Laser linewidth
272
8.7
Laser quantum state: number or coherent?
274
8.8
Open nonlinear interferometer
276
Additional reading
280
Problems
280
9
Degenerate parametric oscillator
283
9.1
Hamiltonian and stochastic equations
283
9.2
Classical results
285
9.3
Fokker-Planck and stochastic equations
287
9.4
Adiabatic approximation
290
9.5
Multi-mode treatment of parametric down-conversion in a cavity
291
Additional reading
296
Problems
296
10
Quantum field dynamics
298
10.1
Kerr medium
299
10.2
Quantum
solitone
301
10.3
Time-dependent
Hartree
approximation
304
10.4
Quantum
solitone in
phase space
307
10.5
Parametric down-conversion
308
ги
Contents
10.6
Maxwell-Bloch equations
312
Additional reading
317
Problems
318
11
Quantum propagation in fibers and waveguides
319
11.1
Order-of-magnitude estimates
319
11.2
Waveguide modes
321
11.3
Dispersive energy
323
11.4
Nonlinear Hamiltonian
326
11.5
Fiber optic Hamiltonian
328
11.6
Raman Hamiltonian
330
11.7
Gain and absorption
333
11.8
Combined
Heisenberg
equations
336
11.9
Phase-space methods
337
11.10
Polarization squeezing
341
Additional reading
344
Problems
345
Ί2
Quantum information
346
12.1
The Einstein-Podolsky-Rosen paradox
347
12.2
Bell inequality
350
12.3 Schrödinger
cat paradoxes
355
12.4
Probabilistic simulations of Bell violations
358
12.5
Quantum cloning
360
12.6
Teleportation
363
Additional reading
366
Problems
367
List of symbols
369
Index
371
|
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| id | DE-604.BV041816981 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:06:04Z |
| institution | BVB |
| isbn | 1107004217 9781107004214 |
| language | English |
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| physical | VIII, 373 S. graph. Darst. |
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| spelling | Drummond, Peter D. 1950- Verfasser (DE-588)1054162611 aut The quantum theory of nonlinear optics Peter D. Drummond ; Mark Hillery 1. publ. Cambridge Cambridge Univ. Press 2014 VIII, 373 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf Quantenoptik (DE-588)4047990-0 s Nichtlineare Optik (DE-588)4042096-6 s DE-604 Hillery, Mark Stephen 1951- Verfasser (DE-588)103711874X aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027262190&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027262190&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Drummond, Peter D. 1950- Hillery, Mark Stephen 1951- The quantum theory of nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4042096-6 (DE-588)4047990-0 |
| title | The quantum theory of nonlinear optics |
| title_auth | The quantum theory of nonlinear optics |
| title_exact_search | The quantum theory of nonlinear optics |
| title_full | The quantum theory of nonlinear optics Peter D. Drummond ; Mark Hillery |
| title_fullStr | The quantum theory of nonlinear optics Peter D. Drummond ; Mark Hillery |
| title_full_unstemmed | The quantum theory of nonlinear optics Peter D. Drummond ; Mark Hillery |
| title_short | The quantum theory of nonlinear optics |
| title_sort | the quantum theory of nonlinear optics |
| topic | Nichtlineare Optik (DE-588)4042096-6 gnd Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Nichtlineare Optik Quantenoptik |
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