Zero-dimensional models for gravitational and scalar QED decoherence

Abstract We investigate the dynamics of two quantum mechanical oscillator system–bath toy models obtained by truncating to zero spatial dimensions linearized gravity coupled a massive scalar field and electrodynamics (QED). The scalar-gravity model maps onto phase damped oscillator, while QED approximately an system subject two-photon damping. provide potentially useful insights into solving for open relevant full weak gravitational systems, in particular operational probes decoherence initial superposition states.