Quantum optics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2013
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | XVI, 491 S. Ill., graph. Darst. 26 cm |
| ISBN: | 9781107006409 |
Internformat
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| 245 | 1 | 0 | |a Quantum optics |c Girish S. Agarwal |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2013 | |
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Datensatz im Suchindex
| _version_ | 1804149788719972352 |
|---|---|
| adam_text | Contents
Preface
1
Quantized electromagnetic field and coherent state representations
1.1
Quantization of the electromagnetic field
1.2
State space for the electromagnetic field
-
Fock space and Fock states
1.3
Quadratures of the field
1.4
Coherent states
1.5
Mixed states of the radiation field
1.6
Diagonal coherent state representation for electromagnetic fields
-
P-representation
1.7
The Wigner function for the electromagnetic field
1.8
Bosonic systems with finite mass
-
coherent states and phase-space
representations
Exercises
References
2
Nonclassicality of radiation fields
2.1
The
Mandel Qm
parameter
2.2
Phase-dependent measure of nonclassicality
-
squeezing parameter
S
2.3
Single-mode squeezed states
-
squeezed vacuum
2.4
Squeezed coherent state
2.5
Other measures of nonclassicality
2.6
Mixed nonclassical states
-
degradation in squeezing
Exercises
References
3
Two-mode squeezed states and quantum entanglement
3.1
The two-mode squeezed states
3.2
Nonclassicality of the two-mode squeezed vacuum
3.3
Quantum phase-space distributions and quadrature distributions
3.4
Cauchy-Schwarz inequalities for nonclassicality in two-mode states
3.5
Conditional measurements on the two-mode squeezed vacuum
3.6
Quantum entanglement in the two-mode squeezed vacuum
3.7
Peres-Horodecki separability criterion for continuous variable systems
3.8
Generation of two-mode nonclassical and entangled states optical
parametric down-conversion
page
xv
1
1
5
6
7
12
15
18
22
24
26
28
28
29
31
37
39
43
45
47
49
49
50
52
54
55
56
56
58
VII
Contents
3.9
Parametric
amplification
of signals
60
3.10
Type-II optical parametric down-conversion
-
production of entangled
photons
61
3.11
Four-photon entanglement using optical parametric down-conversion
63
3.12
Two-mode mixed nonclassical states
65
3.13
Entanglement in two-mode mixed Gaussian states
66
3.14
Application of entanglement to the
teleportation
of a quantum state
67
3.15
Nonclassical fields in optical fibers
69
Exercises
72
References
74
Non-Gaussian nonclassical states
76
4.1 Schrödinger
cat state and the cat paradox
76
4.2
Photon-added and -subtracted states
82
4.3
Single-photon-added coherent and thermal states
84
4.4
Squeezing and
sub-Poi
ssonian properties of single-photon-added states
86
4.5
Experimental realization of photon-added nonclassical non-Gaussian
states
88
4.6
Single-photon-subtracted states
89
4.7
Single-photon-subtracted two-mode states with vortex structure
93
4.8
Pair-coherent states
97
Exercises
101
References
102
Optical
interferometry
with single photons and nonclassical light
103
5.1
Transformation of quantized light fields at beam splitters
103
5.2
Beam splitter transformation equivalent to evolution under a
Hamiltonian
105
5.3
Transformation of states by the beam splitter
105
5.4
Transformation of photon number states by abeam splitter
106
5.5
Single photons at beam splitters
107
5.6
Pairs of single photons at beam splitters
108
5.7
Generalization of the Hong-Ou-Mandel interference to
N
photons
from both ports of the beam splitter
109
5.8
Transformation of a two-mode squeezed state by a
50-50
beam
splitter
109
5.9
Generation of two-mode entangled states by the interference of
coherent fields and single photons
110
5.10
Beam splitter as an attenuator
1
11
5.11
Transformation of quantized light fields by phase shifters
112
5.12
The Mach-Zehnder interferometer
113
5.13
Wheeler s delayed choice gedanken experiment
117
5.14
Interaction-free measurements
1
1 η
Contents
5.15
Two-photon
Mach-Zehnder
interferometer
119
5.16 Multiphoton
interference and engineering of quantum states
121
5.17 Mach
Zehnder interferometer with two-mode squeezed vacuum as
input
123
5.18
Balanced
homodyne
interferometers for measuring the squeezing
of light
125
5.19
Manipulation of quantum states by homodyning and feed-forward
126
5.20
Quantum state tomography
128
5.21
Sensitivity of an optical interferometer
129
5.22 Heisenberg
limited sensitivity of interferometers based on parametric
amplifiers or four-wave mixers
131
5.23
The quantum statistics of fields at the output ports
133
Exercises
134
References
136
Polarization and orbital angular momentum of quantum fields
1
38
6.1
Characterization of the polarization properties of quantized fields
138
6.2
Polarization of quantized fields
-
Stokes operators
139
6.3
Action of polarizing devices on quantized fields
141
6.4
Description of unpolarized light beyond Stokes parameters
143
6.5
Stokes operator tomography
144
6.6
Orbital angular momentum of fields HG and LG modes
146
6.7
Orbital Stokes operators and the
Poincaré
sphere
149
6.8
Mixed states of orbital angular momentum
151
6.9
Entangled states of the orbital angular momentum
152
6.10
Transformation of entanglement between polarization and orbital
angular momentum ^-plates
154
Exercises
155
References
156
Absorption, emission, and scattering of radiation
158
7.1
The interaction of radiation and matter in the electric
dipole
approximation
158
7.2
Rates for the absorption and emission of radiation
159
7.3
Single-mode limit
-
Einstein s
В
coefficient and the absorption
coefficient
α (ω)
165
7.4
Scattering of radiation
166
7.5
Quantum interferences in scattering
169
7.6
Radiative decay of states
- Weisskopf-
Wigner theory
170
7.7
Control of spontaneous emission through the design of the
electromagnetic vacuum
174
Exercises
177
References
178
Contents
8
Partial
coherence in multimode quantum fields
179
8.1
Correlation functions for electromagnetic fields
179
8.2
Young s interferometer and spatial coherence of the field
181
8.3
Photon-photon correlations
-
intensity
interferometry
184
8.4
Higher-order correlation functions of the field
187
8.5
Interferometry
in the spectral domain
188
8.6
Squeezing spectrum and spectral
homodyne
measurement
191
8.7
Coherence effects in two-photon absorption
192
8.8
Two-photon imaging
-
ghost imaging using G{2)
194
Exercises
197
References
198
9
Open quantum systems
200
9.1
Master equation description of open systems
200
9.2
Dissipative dynamics of harmonic oscillators
204
9.3
Dissipative dynamics of a two-level system
206
9.4
Dissipative dynamics of a multilevel system
208
9.5
Time correlation functions for multilevel systems
210
9.6
Quantum
Langevin
equations
212
9.7
Exactly soluble models for the dissipative dynamics of the oscillator
213
9.8
Exact dissipative dynamics of a two-level system under dephasing
215
Exercises
218
References
219
10
Amplification and attenuation of quantum fields
220
10.1
Quantum theory of optical amplification
220
10.2
Loss of nonclassicality in the amplification process
223
10.3
Amplification of single-photon states
229
10.4
Amplification of entangled fields
230
10.5
Realising a phase-insensitive amplifier from a phase-sensitive amplifier
232
10.6
Degradation of nonclassicality and entanglement due to the absorption
of quantum fields
233
10.7
Loss of coherence on interaction with the environment
235
Exercises
238
References
240
11
Quantum coherence, interference, and squeezing in two-level systems
242
11.1 Two-level approximation: atomic dynamics in a monochromatic field
242
11
.2
Application of atomic coherence
-
Ramsey
interferometry
247
1.3
Atomic coherent states
249
11.4
Minimum uncertainty states for two-level systems
-
spin squeezing
252
1.5
Atomoc squeezed states by nonlinear unitary transformations
254
1.6
Atomic squeezed states produced by supersensitivity of Ramsey
interferometers
256
Contents
11.7
Phase-space representation for a collection of two-level systems
258
11.8
Phase-space description ofEPR correlations of spin systems
262
Exercises
264
References
265
12
Cavity quantum electrodynamics
267
12.1
Exact solution of the Jaynes-Cummings model
:
dressed states
268
12.2
Collapse and revival phenomena in JCM
271
12.3
Dispersive limit of the JCM
273
12.4
Dissipative processes in cavity QED
-
the master equation
275
12.5
Spectroscopy of the ladder of dressed states
277
12.6
Multi-atom effects in cavity QED
284
12.7
Effective dipole-dipole interaction in a dispersive cavity from Lamb
shift of the vacuum
288
12.8
Atomic cat states using multi-atom dispersive JCM
290
12.9
Application of atomic cat states in
Heisenberg
limited measurements
293
12.10
Engineering anti-Jaynes-Cummings interaction
296
12.11
QED in coupled cavity arrays
-
single-photon switch
298
Exercises
300
References
301
13
Absorption, emission, and scattering from two-level atoms
304
13.1
Effects of relaxation: optical Bloch equations
304
13.2
Absorption and amplification of radiation by a strongly pumped
two-level system
309
13.3
Resonance fluorescence from a coherently driven two-level atom
314
13.4
Quantum dynamics of the two-level atom and spectrum of fluorescence
317
Exercises
325
References
327
14
Quantum interference and entanglement in radiating systems
328
14.1
Young s interference with microscopic slits
-
atoms as slits
328
14.2
Spatial bunching and antibunching of photons
330
14.3
Interference in radiation from two incoherently excited atoms
333
14.4
Atom-photon entanglement
337
14.5
Atom-atom entanglement via detection of spontaneously emitted
photons
338
14.6
Multi-atom entanglement
341
14.7
Quantum entanglement in
Dicke
states and superradiance
343
14.8
Multi-path quantum interference as the source of
Dicke
superradiance
345
14.9
Entanglement of photons produced in an atomic cascade
348
Exercises
351
References
352
XII
Contents
15
Near field radiative effects
354
15.1
Near field radiative effects
-
coupling between dipoles
354
15.2
Radiative coupling between dipoles and dynamics
358
15.3
Vacuum-induced deterministic entanglement
360
15.4
Two-photon resonance induced by near field radiative effects
362
15.5
The
dipole
blockade
365
Exercises
368
References
368
16
Decoherence and disentanglement in two-level systems
370
16.1
Decoherence due to the interaction of a two-level system with
the environment
370
16.2
Disentanglement in two-level systems
371
16.3
Decoherence-free subspace
373
16.4
Protection of decoherence due to dephasing via dynamical decoupling
374
16.5
Control of the spectral density of environment for protection against
decoherence
378
16.6
Modulation produced protection against disentanglement in cavity QED
380
Exercises
382
References
383
17
Coherent control of the optical properties
385
17.1
A simple model for coherent control
385
17.2
Dark states and coherent population trapping
394
17.3
EIT in single-atom fluorescence
397
17.4
Control of two-photon absorption
400
17.5
Vacuum-induced coherence and interference
404
Exercises
409
References
410
18
Dispersion management and ultraslow light
413
18.1
Group velocity and propagation in a dispersive medium
413
18.2
Electromagnetically induced waveguides
417
18.3
Storage and retrieval of optical pulses
418
18.4
Adiabatons and storage and retrieval of pulses
423
18.5
Non-EIT mechanisms for ultraslow light
426
Exercises
429
References
430
19
Single photons and nondassical light in integrated structures
432
19.1
Quantum optics in a coupled array of waveguides
432
19.2
The Hong-Ou-Mandel interference in a system of two coupled
waveguides
434
xiii
Contents
19.3
Single-photon transport and coherent Bloch oscillations in a coupled
array
436
19.4
The Anderson localization of quantum fields in coupled waveguide
arrays
442
19.5
Discrete quantum walks via waveguide couplers on a chip
447
Exercises
452
References
453
20
Quantum optical effects in nano-mechanical systems
455
20.1
The radiation pressure on the nano-mechanical mirror
455
20.2
Basic quantum
Langevin
equations for the coupled system of cavity
and NMO
457
20.3
Steady-state solution of quantum
Langevin
equations in the mean field
limit and Instability
459
20.4
Quantum fluctuations in optomechanical systems
461
20.5
Sideband cooling of the nano-mechanical mirror
463
20.6
Normal-mode splitting
466
20.7
Squeezing of a nano-mechanical oscillator
471
20.8
Electromagnetically induced transparency (EIT) in the mechanical
effects of light
475
20.9
Quantized states of the nano-mechanical mirror coupled to the cavity
481
Exercises
485
References
487
Index
489
In the past decade many important advances have taken place in the field
of quantum optics, with numerous potential applications. This textbook
provides an up-to-date account of the basic principles of the subject, and
is ideal for graduate courses.
Focusing on applications of quantum optics, the textbook covers recent
developments such as engineering of quantum states, quantum optics on a
chip, nano-mechanical mirrors, quantum entanglement, quantum metrology,
spin squeezing, control of deconerence, and many other key topics. Readers
are guided through the principles of quantum optics and their uses in a wide
variety of areas including quantum information science and quantum
mechanics.
The textbook features over
150
end-of-chapter exercises with solutions avail¬
able for instructors at www.cambridge.org/9781107006409. It is invaluable to
both graduate students and researchers in physics and photonics, quantum
information science, and quantum communications.
G
IRISH
S.
AGARWAL is Noble Foundation Chair and Regents Professor at Oklahoma
State University. A recognized leader in the field of theoretical quantum optics, he is a
Fellow of the Royal Society and has won several awards, including the Max-Born
Prize from the Optical Society of America and the
Humboldt
Research Award.
Cover illustration (front): engineering of entangled
states by photon subtraction and by changing the
phase of light pumping the nonlinear crystal (after
Agarwal, New J. Phys.
13, 73008 (2011));
(back inset):
heralded quantum entanglement by interference and
detection (afteT
Bastin
ef
ai,
Phys. Rev. Lett.
102,
053601 (2009)).
|
| any_adam_object | 1 |
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| author_GND | (DE-588)142243221 |
| author_facet | Agarwal, Girish S. 1946- |
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| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535/.15 |
| dewey-search | 535/.15 |
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| id | DE-604.BV040664091 |
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| indexdate | 2024-07-10T00:28:36Z |
| institution | BVB |
| isbn | 9781107006409 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025490791 |
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| physical | XVI, 491 S. Ill., graph. Darst. 26 cm |
| publishDate | 2013 |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Agarwal, Girish S. 1946- Verfasser (DE-588)142243221 aut Quantum optics Girish S. Agarwal 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2013 XVI, 491 S. Ill., graph. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Quantenoptik (DE-588)4047990-0 gnd rswk-swf Quantum optics. (DE-588)4123623-3 Lehrbuch gnd-content Quantenoptik (DE-588)4047990-0 s DE-604 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=025490791&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext 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=025490791&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agarwal, Girish S. 1946- Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4047990-0 (DE-588)4123623-3 |
| title | Quantum optics |
| title_auth | Quantum optics |
| title_exact_search | Quantum optics |
| title_full | Quantum optics Girish S. Agarwal |
| title_fullStr | Quantum optics Girish S. Agarwal |
| title_full_unstemmed | Quantum optics Girish S. Agarwal |
| title_short | Quantum optics |
| title_sort | quantum optics |
| topic | Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Quantenoptik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025490791&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025490791&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT agarwalgirishs quantumoptics |