Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 35: Poster I
Q 35.51: Poster
Tuesday, March 19, 2013, 16:00–18:30, Empore Lichthof
Non-equilibrium states of two oscillators coupled to separate baths — Giuseppe Cammarata1, •Carsten Henkel2, Benjamin Schäfer3, and Illarion Dorofeyev4 — 1Institute of Mathematics, Universität Potsdam, Germany — 2Institute of Physics and Astronomy, Universität Potsdam, Germany — 3Universität Göttingen, Germany — 4Russian Academy of Sciences, Nizhny Novgororod, Russia
Oscillators coupled to heat baths have a long tradition as models for dissipative systems in statistical and quantum mechanics [1]. We apply quantum Langevin equations to a system of two oscillators with a bilinear coupling [2]. Spectral representations for the mean energy of interaction and the covariance matrix of the canonical coordinates are derived and discussed [3]. Of particular interest are shifts in the eigenfrequencies as the coupling is increased, the thermal equilibrium situation and the quantum correlations between the oscillators if the attached baths have different temperatures. In addition, we provide a survey of quantization schemes starting from a classification of couplings between classical oscillators.
[1] P. Ullersma, Physica 32 (1966) 27-96; R. J. Rubin, Phys. Rev. 131 (1963) 964.
[2] J. P. Paz and A. J. Roncaglia, Phys. Rev. Lett. 100 (2008) 220401
[3] I. Dorofeyev, arXiv:1207.3881