Codice  QDD212 
Titolo  Quantum stochastic equations for an optomechanical oscillator with radiation pressure interaction and nonMarkovian effects 
Data  20150701 
Autore/i  Barchielli, A. 
Link  Download full text 
Abstract  The quantum stochastic Schroedinger equation or HudsonParthasareathy (HP) equation is a powerful tool to construct unitary dilations of quantum dynamical semigroups and to develop the theory of measurements in continuous time via the construction of output fields. An important feature of such an equation is that it allows to treat not only absorption and emission of quanta, but also scattering processes, which however had very few applications in physical modelling. Moreover, recent developments have shown that also some nonMarkovian dynamics can be generated by suitable choices of the state of the quantum noises involved in the HPequation. This paper is devoted to an application involving these two features, nonMarkovianity and scattering process. We consider a micromirror mounted on a vibrating structure and reflecting a laser beam, a process giving rise to a radiationpressure force on the mirror. We show that this process needs the scattering part of the HPequation to be described. On the other side, nonMarkovianity is introduced by the dissipation due to the interaction with some thermal environment which we represent by a phonon field, with a nearly arbitrary excitation spectrum, and by the introduction of phase noise in the laser beam. Finally, we study the full power spectrum of the reflected light and we show how the laser beam can be used as a temperature probe. 
