Decoherence from general relativity

It is of great interest to explore matter in nontrivial quantum arrangements, including Schrodinger cat-like states. Such states are sensitive decoherence from their environment. Recently, Ref. [1] we computed the rate a piece superposed that primarily only interacts gravitationally, dark-matter-Schrodinger-cat-state (DMSCS), within nonrelativistic approximation. In this work improve general relativistic analysis. We firstly derive single particle equation for probe passes through DMSCS; interaction provided by weak field metric relativity source. For static DMSCS find neat generalization our previous results. then turn interesting new case time dependent DMSCS, which can be coherently oscillating axion leading oscillations metric; truly quantum-general phenomenon. use scattering theory all these cases. When superposition distinct density profiles, appreciable. consider novel special not superposition, but phase its oscillation is; property cannot decohered framework. if and/or DMSCS's velocity dispersion slow, exponentially suppressed. However, both and relativistic, decohere more rapidly. As applications, diffuse galactic axions with phases robust against decoherence, while dense boson stars regions near black hole horizons not, discuss implications experiment.