Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: Matter At Low Temperature: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ... 2

TT 37.6: Talk

Thursday, March 29, 2012, 10:45–11:00, H 3005

Noise properties of driven nonlinear resonators in the deep quantum regime — •Vicente Leyton¹, Vittorio Peano², and Michael Thorwart¹ — ¹I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, 20355 Hamburg — ²Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA

The Lax formula for two-time correlations combined with the Floquet formalism is used for the study of the noise properties of periodically driven nonlinear oscillators in contact with a dissipative environment. In particular, we consider the case of the quantum Duffing oscillator, where its non-equidistant energy spectrum leads to multiphoton transitions induced by the external driving at external frequencies close to the fundamental oscillator frequency. We consider the regime of weak coupling, in which the contact with the environment induces dissipative ransitions between nearest neighbour levels only. In addition to the dissipative dynamics, when the driving is at resonance with some multiphoton transition, Rabi oscillations between the states involved in the multiphoton transition are induced. We study the fluctuations of the number of photons pumped into the system when the multiphoton Rabi dynamics is faster than dissipative processes. We find a rich structure in the noise power spectrum including side-peaks associated to the multiphoton transitions. Moreover, we can extract information on the dissipative rate for resonant dynamical tunnelling in the dynamically induced bistable quasienergy landscape. The procedure presented here is extendible to other nonlinear systems like the driven Jaynes-Cummings model.