Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

Hardcover | August 15, 2012

EditorMark Dykman

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The book 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. The ongoing rapid development ofwell-characterized mesoscopic vibrational systems has made it possible to address fundamental physics problems and to explore new approaches to quantum and classical measurements, with applications to quantum information, condensed matter physics, and engineering. The book gives an account of major results in this direction. The topics include dynamics and quantum control of microcavity modes coupled to qubits, measurements with bifurcation-based amplifiers and new types of such amplifiers; switching rate scaling and new quantum mechanisms of metastabledecay; wave mixing and parametric excitation in the quantum regime; collective phenomena and the interaction-induced discrete time symmetry breaking; and back-action and shot noise in electron-vibrational systems.

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The book 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. The ongoing rapid development ofwell-characterized mesoscopic vibrational s...

Mark Dykman is Professor of Physics at Michigan State University.

other books by Mark Dykman

Format:HardcoverDimensions:456 pages, 9.69 × 6.73 × 0.1 inPublished:August 15, 2012Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019969138X

ISBN - 13:9780199691388

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Table of Contents

1. P. Bertet, F.R. Ong, M. Boissonneault, A. Bolduc, F. Mallet, A.C. Doherty, A. Blais, D. Vion, and D. Esteve: Circuit quantum electrodynamics with a nonlinear resonator2. M. P. Blencowe, A. D. Armour, and A.J. Rimberg: Quantum-classical correspondence for a dc-biased cavity resonator-Cooper-pair transistor system3. H. B. Chan and C. Stambaugh: Activated switching in nonlinear micromechanical resonators4. A. N. Cleland: Measurement and control of quantum cavities with electronic atoms5. M.H. Devoret, A. Kamal, and B. Abdo: Non-degenerate three wave mixing with Josephson junctions6. T. Dunn, A. L. Chudnovskiy, and A. Kamenev: Dynamics of nano-magnetic oscillators7. M. I. Dykman: Periodically modulated quantum nonlinear oscillators8. E. Ginossar, L. S. Bishop and S. M. Girvin: Nonlinear oscillators and high fidelity qubit state measurement in circuit quantum electrodynamics9. M.-S. Heo, Y. Kim, H.-R. Noh and W. Jhe: Spontaneous time-symmetry breaking in a vibrating cold atom system10. R. Karabalin and M. L. Roukes: Nonlinear nanoelectromechanical systems11. R. Lifshitz, E. Kenig, and M.C. Cross: Collective dynamics in arrays of coupled nonlinear resonators12. H. B. Meerwaldt, G. A. Steele, and H. S. J. van der Zant: Carbon nanotubes: Nonlinear high-Q resonators with strong coupling to single-electron tunneling13. J. Moser, A. Eichler, B. Lassagne, J. Chaste, Y. Tarakanov, J. Kinaret, I. Wilson- Rae, and A. Bachtold: Dissipative and conservative nonlinearity in carbon nanotube and graphene mechanical resonators14. R. Vijay, K.W. Murch and I. Siddiqi: Dynamical bifurcation and amplification in Josephson junction oscillators15. C. M. Wilson, T. Duty, and P. Delsing: Parametric oscillators based on superconducting circuits

Editorial Reviews

"An understanding of the nonlinear oscillator, driven by noise, is of immense importance to the fast-developing physics of mesoscopic systems. The book provides a broad and comprehensive perspective on the physics of real mesoscopic oscillators and promises to be enormously helpful to thoseentering or working in the field of mesoscopic systems, including theorists, experimentalists, and engineers." --Peter McClintock, Lancaster University