Exploring the Unruh effect for oscillating detector inside cavity; Circuit QED analogue

We consider relativistic, oscillating centre of mass photon detector modeled as harmonic oscillator that are coupled to a cavity mode.

Including detector and cavity loss, we solve for the quantum dynamics, which is completely specified by the first and second moments of the detector and cavity quadrature coordinates. Under certain resonant conditions between the various characteristic frequencies and relative phases between the oscillating detector, we observe significant enhancements in the average, steady state detectors' and cavity photon numbers. We also characterize the correlations between the detector and cavity mode using the logarithmic negativity entanglement measure. Through a series of approximations we map the relativistic detector-cavity system onto a non-degenerate parametric amplifier model which affords accurate, analytical expressions for the first and seconds, as well as suggests feasible microwave circuit realization.