Fluctuating nonlinear oscillators: from nanomechanics to quantum superconducting circuits
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford Univ. Press
2012
|
| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIV, 415 S. Ill., graph. Darst. 25 cm |
| ISBN: | 9780199691388 019969138X |
Internformat
MARC
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| 245 | 1 | 0 | |a Fluctuating nonlinear oscillators |b from nanomechanics to quantum superconducting circuits |c ed. by Mark Dykman |
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Datensatz im Suchindex
| _version_ | 1804149468062285824 |
|---|---|
| adam_text | Contents
List of contributors
xi
1
Circuit quantum electrodynamics with a nonlinear resonator
1
P. Bertet, F. R. Ong, M. Boissonneault, A. Bolduc, F. Mallet, A. C. Doherty,
A. Blais, D. Vion, and
D. Esteve
1.1
Presentation of the system
2
1.2
Semiclassical dynamics of the nonlinear resonator
7
1.3
High-fidelity qubit readout by a nonlinear resonator
12
1.4
Backaction of a driven Kerr resonator on a qubit
17
1.5
Conclusion
28
References
29
2
Quantum-classical correspondence for a dc-biased cavity resonator-Cooper-
pair transistor system
33
M. P. Blencowe, A. D. Armour, and A. J. Rimberg
2.1
Introduction
33
2.2
The cavity-Cooper-pair transistor device
36
2.3
Classical model of device
37
2.4
Classical dynamics
41
2.5
Quantum model of device
44
2.6
Quantum dynamics
49
2.7
Classical limit
51
2.8
Conclusion
55
Acknowledgments
56
References
56
3
Activated switching in nonlinear micromechanical resonators
59
H. B. Chan and C. Stambaugh
3.1
Introduction
59
3.2
Micromechanical
torsionai
oscillator
60
3.3
Switching-path distribution
67
3.4
Activation barrier scaling near bifurcation points
73
3.5
Critical kinetic phenomena in resonantly driven oscillators
80
3.6
Conclusion
88
Acknowledgments
89
References
90
4
Measurement and control of quantum cavities with electronic atoms
92
A.
N.
Cleland
4.1
Introduction
92
viii Contents
4.2
A
Josephson
junction as a tunable two-level system
93
4.3
Harmonic oscillators 1°2
4.4
Coupled qubit and resonator
Ю5
References
116
5
Nondegenerate,
three-wave mixing with
Josephson
junctions
119
M.H. Devoret, A. Kamal, and B. Abdo
5.1
Introduction
119
5.2
Input-output treatment of a generic
nondegenerate,
three-wave mixing device
121
5.3
Three-wave mixing amplitude
128
5.4
Limitation of dynamic range due to pump depletion
131
5.5
Conclusion
133
Appendix: Quantum signals propagating along a transmission line and
input- output formalism
133
Acknowledgments
140
References
140
6
Dynamics of
nano-
magnetic oscillators
142
T. Dunn, A. L. Chudnovskiy, and A. Kamenev
6.1
Introduction
142
6.2
Deterministic dynamics
144
6.3
Equilibrium stochastic dynamics of magnetization
149
6.4
Shot-noise and nonequilibrium stochastic dynamics
151
6.5
Dynamics and optimization of the magnetization switching
154
6.6
Spectral width of the steady-state precession
158
6.7
Conclusion
161
Acknowledgments
161
References
161
7
Periodically modulated quantum nonlinear oscillators
165
M. I. Dykman
7.1
Introduction
165
7.2
Resonant modulation: quantum heating
167
7.3
Quantum activation
175
7.4
Power spectra of modulated quantum oscillators
183
7.5
Nonresonant
modulation: oscillator heating and cooling
190
7.6
Conclusions
194
Acknowledgments
195
References
195
8
Nonlinear oscillators and high fidelity qubit state measurement in circuit
quantum electrodynamics
198
E. Ginossar, L. S. Bishop, and S. M. Girvin
8.1
Introduction: the high power response of the transmon-cavity system
198
8.2
Implications of the nonlinearity at the high excitation regime
199
8.3
Applications for high fidelity qubit state measurement
207
Contents ix
8.4
Conclusion
and future
prospects
216
Acknowledgments
216
References
216
9
Spontaneous time-symmetry breaking in a vibrating cold atom system
220
M.-S. Heo, Y. Kim, H.-R.
Noh,
and W. Jhe
9.1
Introduction
220
9.2
Experiment and discussions
221
9.3
Theoretical model
226
9.4
Calculations of critical properties
230
9.5
Beyond the single-component Landau theory: fluctuations of the total
number of trapped atoms
235
9.6
Conclusions
237
Acknowledgments
237
References
238
10
Nonlinear nanoelectromechanical systems
239
R. Karabalin and
M. L.
Roukes
10.1
Introduction
239
10.2
Basins of attraction
242
10.3
Dynamics of strongly coupled nonlinear resonators
247
10.4
Parametric amplification and actuation
257
10.5
Bifurcation-topology amplifier
262
10.6
Conclusions
274
Acknowledgments
275
References
275
11
Collective dynamics in arrays of coupled nonlinear resonators
278
R. Lifshitz, E.
Kenig,
and M.C. Cross
11.1
Arrays of nonlinear MEMS and NEMS resonators
278
11.2
Equations of motion and basic assumptions
279
11.3
Discrete amplitude equations:
Example I
—
Collective response to parametric excitation
282
11.4
Discrete amplitude equations:
Example II
—
Synchronization of nonlinear oscillators
287
11.5
Continuous amplitude equations:
Example III
—
Nonlinear competition between extended modes
292
11.6
Continuous amplitude equations:
Example IV
—
Intrinsic localized modes (ILMs)
301
Acknowledgments
308
References
308
12
Carbon nanotubes: nonlinear high-Q resonators with strong coupling
to single-electron tunneling
312
H. B. Meerwaldt, G. A. Steele, and H. S. J. van
der Zant
12.1
Introduction
312
χ
Contents
12.2
Detecting the motion of a carbon nanotube resonator
314
12.3
Linear dynamics of a carbon nanotube resonator strongly coupled to a
quantum dot
318
12.4
Carbon nanotube resonators in the nonlinear regime
323
12.5
Parametric excitation and mode coupling in carbon nanotube resonators
336
12.6
Conclusions
338
Acknowledgments
338
References
338
13
Dissipative and conservative nonlinearity in carbon nanotube and graphene
mechanical resonators
341
J.
Moser,
A. Eichler,
B. Lassagne,
J. Chaste, Y. Tarakanov,
J. KlNARET, I. WiLSON-RaE, AND
A. BACHTOLD
13.1
Introduction
341
13.2
Detection of the mechanical vibrations
344
13.3
Variation of the quality factor with the amplitude of the motion
346
13.4
Hysteresis
349
13.5
Parametric excitation
350
13.6
Discussion on the nonlinear damping force
351
13.7
Coupling mechanical vibrations to electron transport in a nanotube
resonator
354
13.8
Conclusion
357
Acknowledgments
358
References
358
14
Dynamical bifurcation and amplification in
Josephson
junction oscillators
362
R. VlJAY, K.W. MURCH, AND I. SlDDIQI
14.1
Steady state response
362
14.2
Driven response: amplitude modulation
369
14.3
Driven response: frequency modulation
380
14.4
Summary
387
References
388
15
Parametric oscillators based on superconducting circuits
390
C. M. Wilson, T. Duty, and P. Delsing
15.1
Introduction
390
15.2
General theory
392
15.3
Tunable microwave cavities
399
15.4
Experiments
401
15.5
Conclusions
4O8
References
408
Index 411
|
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| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. ed. |
| format | Book |
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| indexdate | 2024-07-10T00:23:30Z |
| institution | BVB |
| isbn | 9780199691388 019969138X |
| language | English |
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| publishDate | 2012 |
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| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits ed. by Mark Dykman 1. ed. Oxford Oxford Univ. Press 2012 XIV, 415 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Anharmonischer Oszillator (DE-588)4421420-0 gnd rswk-swf Mesoskopisches System (DE-588)4280799-2 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Nichtlineare Schwingung (DE-588)4042100-4 gnd rswk-swf Fluktuation Physik (DE-588)4130671-5 gnd rswk-swf Nonlinear oscillations. Fluctuations (Physics) (DE-588)4143413-4 Aufsatzsammlung gnd-content Anharmonischer Oszillator (DE-588)4421420-0 s Quantenphysik (DE-588)4266670-3 s DE-604 Mesoskopisches System (DE-588)4280799-2 s Fluktuation Physik (DE-588)4130671-5 s 1\p DE-604 Nichtlineare Schwingung (DE-588)4042100-4 s 2\p DE-604 Dykman, Mark I. Sonstige oth 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=025265824&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits Anharmonischer Oszillator (DE-588)4421420-0 gnd Mesoskopisches System (DE-588)4280799-2 gnd Quantenphysik (DE-588)4266670-3 gnd Nichtlineare Schwingung (DE-588)4042100-4 gnd Fluktuation Physik (DE-588)4130671-5 gnd |
| subject_GND | (DE-588)4421420-0 (DE-588)4280799-2 (DE-588)4266670-3 (DE-588)4042100-4 (DE-588)4130671-5 (DE-588)4143413-4 |
| title | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits |
| title_auth | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits |
| title_exact_search | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits |
| title_full | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits ed. by Mark Dykman |
| title_fullStr | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits ed. by Mark Dykman |
| title_full_unstemmed | Fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits ed. by Mark Dykman |
| title_short | Fluctuating nonlinear oscillators |
| title_sort | fluctuating nonlinear oscillators from nanomechanics to quantum superconducting circuits |
| title_sub | from nanomechanics to quantum superconducting circuits |
| topic | Anharmonischer Oszillator (DE-588)4421420-0 gnd Mesoskopisches System (DE-588)4280799-2 gnd Quantenphysik (DE-588)4266670-3 gnd Nichtlineare Schwingung (DE-588)4042100-4 gnd Fluktuation Physik (DE-588)4130671-5 gnd |
| topic_facet | Anharmonischer Oszillator Mesoskopisches System Quantenphysik Nichtlineare Schwingung Fluktuation Physik Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025265824&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dykmanmarki fluctuatingnonlinearoscillatorsfromnanomechanicstoquantumsuperconductingcircuits |