Jump Chaotic Behaviour of Ultra Low Loss Bulk Acoustic Wave Cavities

作者: Maxim Goryachev , Warrick G. Farr , Serge Galliou , Michael E. Tobar

DOI: 10.1063/1.4892926

关键词: Carrier signalRandomnessChaoticJumpDegree (temperature)QuartzCondensed matter physicsBulk acoustic waveNonlinear phenomenaPhysics

摘要: We demonstrate a previously unobserved nonlinear phenomenon in an ultra-low loss quartz Bulk Acoustic Wave cavity ($Q>3\times10^9$), which only occurs below 20 milli-Kelvin temperature and under relatively weak pumping. The reveals the emergence of several stable equilibria (at least two foci nodes) jumps between these quasi states at random times. degree this randomness as well separations levels can be controlled by frequency incident carrier signal. It is demonstrated that nature effect lays beyond standard Duffing model.

参考文章(24)
Daniel L. Creedon, Michael E. Tobar, Jean-Michel Le Floch, Yarema Reshitnyk, Timothy Duty, Single-crystal sapphire resonator at millikelvin temperatures: Observation of thermal bistability in high-Q factor whispering gallery modes Physical Review B. ,vol. 82, pp. 104305- ,(2010) , 10.1103/PHYSREVB.82.104305
Maxim Goryachev, Michael E. Tobar, Roger Bourquin, Philippe Abbé, Jean Pierre Aubry, Serge Galliou, Extremely Low Loss Phonon-Trapping Cryogenic Acoustic Cavities for Future Physical Experiments Scientific Reports. ,vol. 3, pp. 2132- 2132 ,(2013) , 10.1038/SREP02132
Daniel L. Creedon, Karim Benmessai, Michael E. Tobar, Frequency Conversion in a High Q -Factor Sapphire Whispering Gallery Mode Resonator due to Paramagnetic Nonlinearity Physical Review Letters. ,vol. 109, pp. 143902- ,(2012) , 10.1103/PHYSREVLETT.109.143902
Anatoliy A. Savchenkov, Andrey B. Matsko, Dmitry Strekalov, Makan Mohageg, Vladimir S. Ilchenko, Lute Maleki, Low threshold optical oscillations in a whispering gallery mode CaF(2) resonator. Physical Review Letters. ,vol. 93, pp. 243905- ,(2004) , 10.1103/PHYSREVLETT.93.243905
H. F. Tiersten, Analysis of nonlinear resonance in thickness-shear and trapped-energy resonators Journal of the Acoustical Society of America. ,vol. 59, pp. 866- 878 ,(1976) , 10.1121/1.380946
Yutaka Abe, Simulation of Chaotic Behavior in Piezoelectric Resonators Japanese Journal of Applied Physics. ,vol. 34, pp. 2547- 2551 ,(1995) , 10.1143/JJAP.34.2547
Markus Aspelmeyer, Keith Schwab, Focus on Mechanical Systems at the Quantum Limit New Journal of Physics. ,vol. 10, pp. 095001- ,(2008) , 10.1088/1367-2630/10/9/095001
T. J. Kippenberg, S. M. Spillane, K. J. Vahala, Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity Physical Review Letters. ,vol. 93, pp. 083904- 083904 ,(2004) , 10.1103/PHYSREVLETT.93.083904
Maxim Goryachev, Serge Galliou, Joël Imbaud, Philippe Abbé, Advances in development of quartz crystal oscillators at liquid helium temperatures Cryogenics. ,vol. 57, pp. 104- 112 ,(2013) , 10.1016/J.CRYOGENICS.2013.06.001