Fluctuating Nonlinear Oscillators

• First book in a quickly expanding area that attracts a rapidly increasing interest
• Provides a broad overview of the current status in the field
• Reveals common features between different systems, providing a deep insight into the underlying physics
• Addresses fundamental scientific questions and also bears on numerous applications of current interest
• Authors world-recognized leading experts in the field

Readership: Graduate students and researchers in physics, including those working on quantum physics and quantum computing, condensed-matter physics, statistical physics, quantum optics, atomic physics, and nonlinear dynamics.

Edited by Mark Dykman, Department of Physics, Michigan State University

Mark Dykman is Professor of Physics at Michigan State University.

"The last decade has seen stunning advances in our understanding and application of mesoscopic nonlinear circuits and devices that approach the quantum limit, ranging from circuit quantum electrodynamics to parametric amplifiers to nanomechanical resonators . Fluctuating Nonlinear Oscillators is a timely overview containing chapters written by many of the experts who pioneered the field. This volume is essential reading for everyoneexpert or novice interested in these far-reaching developments." - John Clarke, University of California, Berkeley

"An excellent, up-to-date survey of the rapidly evolving field of classical and quantum fluctuations in nonlinear, mesoscopic oscillators. Broad in its sweep and expertly edited, it presents the reader with a panoramic, state-of-the-art view of one of the cutting-edge areas of modern physics research." - Daniel Stein, New York University

"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 those entering or working in the field of mesoscopic systems, including theorists, experimentalists, and engineers." - Peter McClintock, Lancaster University

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 resonator
2: M. P. Blencowe, A. D. Armour, and A.J. Rimberg: Quantum-classical correspondence for a dc-biased cavity resonator-Cooper-pair transistor system
3: H. B. Chan and C. Stambaugh: Activated switching in nonlinear micromechanical resonators
4: A. N. Cleland: Measurement and control of quantum cavities with electronic atoms
5: M.H. Devoret, A. Kamal, and B. Abdo: Non-degenerate three wave mixing with Josephson junctions
6: T. Dunn, A. L. Chudnovskiy, and A. Kamenev: Dynamics of nano-magnetic oscillators
7: M. I. Dykman: Periodically modulated quantum nonlinear oscillators
8: E. Ginossar, L. S. Bishop and S. M. Girvin: Nonlinear oscillators and high fidelity qubit state measurement in circuit quantum electrodynamics
9: M.-S. Heo, Y. Kim, H.-R. Noh and W. Jhe: Spontaneous time-symmetry breaking in a vibrating cold atom system
10: R. Karabalin and M. L. Roukes: Nonlinear nanoelectromechanical systems
11: R. Lifshitz, E. Kenig, and M.C. Cross: Collective dynamics in arrays of coupled nonlinear resonators
12: 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 tunneling
13: 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 resonators
14: R. Vijay, K.W. Murch and I. Siddiqi: Dynamical bifurcation and amplification in Josephson junction oscillators
15: C. M. Wilson, T. Duty, and P. Delsing: Parametric oscillators based on superconducting circuits