Non-equilibrium many-body effects in driven nonlinear resonator arrays

Many–body Theory of Non–equilibrium Systems

Non equilibrium phase diagrams of current driven Josephson junction arrays

We present a review of our previous numerical studies on non equilibrium vortex dynamics in Josephson Junction arrays (JJA) driven by a dc current. Dynamical phase diagrams for different magnetic fields, current directions and varying temperature are discussed and compared. First, the effect of thermal fluctuations in a current driven diluted vortex lattice (VL) is analyzed. The case of f = 1/2...

Radiative heat transfer: many-body effects

Heat transfer by electromagnetic radiation is one of the common methods of energy transfer between objects. Using the fluctuation-dissipation theorem, we have studied the effect of particle arrangement in the transmission of radiative heat in many-body systems. In order to show the effect of the structure morphology on the collective properties, the radiative heat transfer is studied and the re...

Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays

The response of a coupled array of nonlinear oscillators to parametric excitation is calculated in the weak nonlinear limit using secular perturbation theory. Exact results for small arrays of oscillators are used to guide the analysis of the numerical integration of the model equations of motion for large arrays. The results provide a qualitative explanation for a recent experiment @Buks and R...

Topological Pumping of Photons in Nonlinear Resonator Arrays.

We show how to implement topological or Thouless pumping of interacting photons in one-dimensional nonlinear resonator arrays by simply modulating the frequency of the resonators periodically in space and time. The interplay between the interactions and the adiabatic modulations enables robust transport of Fock states with few photons per site. We analyze the transport mechanism via an effectiv...