Fluctuating nonlinear oscillators : from nanomechanics to quantum superconducting circuits / edited by Mark Dykman.

Format:

Book

Contributor:

Dykman, Mark.

Language:

English

Subjects (All):

Nonlinear oscillations.

Fluctuations (Physics).

Physical Description:

1 online resource (446 p.)

Place of Publication:

Oxford : Oxford University Press, 2012.

Language Note:

English

Summary:

This text provides a unifying insight into fluctuation phenomena in a broad variety of vibrational systems of current interest. It consists of individual chapters written by leading experts in the field. The chapters are self-contained and complement each other.

Contents:

Cover; Contents; List of contributors; 1 Circuit quantum electrodynamics with a nonlinear resonator; 1.1 Presentation of the system; 1.2 Semiclassical dynamics of the nonlinear resonator; 1.3 High-fidelity qubit readout by a nonlinear resonator; 1.4 Backaction of a driven Kerr resonator on a qubit; 1.5 Conclusion; References; 2 Quantum-classical correspondence for a dc-biased cavity resonator-Cooperpair transistor system; 2.1 Introduction; 2.2 The cavity-Cooper-pair transistor device; 2.3 Classical model of device; 2.4 Classical dynamics; 2.5 Quantum model of device; 2.6 Quantum dynamics

2.7 Classical limit2.8 Conclusion; Acknowledgments; References; 3 Activated switching in nonlinear micromechanical resonators; 3.1 Introduction; 3.2 Micromechanical torsional oscillator; 3.3 Switching-path distribution; 3.4 Activation barrier scaling near bifurcation points; 3.5 Critical kinetic phenomena in resonantly driven oscillators; 3.6 Conclusion; Acknowledgments; References; 4 Measurement and control of quantum cavities with electronic atoms; 4.1 Introduction; 4.2 A Josephson junction as a tunable two-level system; 4.3 Harmonic oscillators; 4.4 Coupled qubit and resonator; References

5 Nondegenerate, three-wave mixing with Josephson junctions5.1 Introduction; 5.2 Input-output treatment of a generic nondegenerate, three-wave mixing device; 5.3 Three-wave mixing amplitude; 5.4 Limitation of dynamic range due to pump depletion; 5.5 Conclusion; Appendix: Quantum signals propagating along a transmission line and input-output formalism; Acknowledgments; References; 6 Dynamics of nano-magnetic oscillators; 6.1 Introduction; 6.2 Deterministic dynamics; 6.3 Equilibrium stochastic dynamics of magnetization; 6.4 Shot-noise and nonequilibrium stochastic dynamics

6.5 Dynamics and optimization of the magnetization switching6.6 Spectral width of the steady-state precession; 6.7 Conclusion; Acknowledgments; References; 7 Periodically modulated quantum nonlinear oscillators; 7.1 Introduction; 7.2 Resonant modulation: quantum heating; 7.3 Quantum activation; 7.4 Power spectra of modulated quantum oscillators; 7.5 Nonresonant modulation: oscillator heating and cooling; 7.6 Conclusions; Acknowledgments; References; 8 Nonlinear oscillators and high fidelity qubit state measurement in circuit quantum electrodynamics

8.1 Introduction: the high power response of the transmon-cavity system8.2 Implications of the nonlinearity at the high excitation regime; 8.3 Applications for high fidelity qubit state measurement; 8.4 Conclusion and future prospects; Acknowledgments; References; 9 Spontaneous time-symmetry breaking in a vibrating cold atom system; 9.1 Introduction; 9.2 Experiment and discussions; 9.3 Theoretical model; 9.4 Calculations of critical properties; 9.5 Beyond the single-component Landau theory: fluctuations of the total number of trapped atoms; 9.6 Conclusions; Acknowledgments; References

10 Nonlinear nanoelectromechanical systems

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (viewed on Aug. 24, 2012).

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-163754-8

1-283-57738-0

9786613889836

0-19-163753-X

OCLC:

852967895