Dynamical Casimir effect:superconducting cavities and moving mirrors

FRANCISCO D. MAZZITELLI

Bad Honnef

Workshop; Fluctuation-induced phenomena in Complex Systems; 2018

Wilhelm und else Heraeus-Stiftung

We present a detailed analytical and numerical analysis of the particle creation in a cavity ended with two SQUIDs, both subjected to time dependent magnetic fields. In the linear and lossless regime, the problem can be modeled by a free quantum field in 1 + 1 dimensions, in the presence of boundary conditions that involve a time dependent linear combination of the field and its spatial and time derivatives. We consider a situation in which the boundary conditions at both ends are periodic functions of time, focusing on interesting features as the dependence of the rate of particle creation with the charac- teristics of the spectrum of the cavity, the conditions needed for parametric resonance, and interference phenomena due to simultaneous time dependence of the boundary con- ditions. We pay particular attention to the analogies and differences with the case of an electromagnetic cavity with two moving mirrors. We point out several effects that could be tested experimentally, using the setup of Ref.[1]. This work is in preparation [2], and is a generalization of Ref.[3] to the case of a double tunable cavity.