Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetime

Understand

We investigate the dephasing suffered by a nonrelativistic quantum particle within a conformally fluctuating spacetime geometry.

• Starting from a minimally coupled massive Klein-Gordon field, the low velocity limit yields an effective Schrodinger equation where the wave function couples to gravity through an effective nonlinear potential induced by the conformal fluctuations.
• The quantum evolution is studied through a Dyson expansion scheme up to second order.
• We show that only the nonlinear part of the potential can induce dephasing.