Accelerated Bose–Einstein condensates in a double-well potential

•We model a couple of BECs separated by a barrier in an accelerated field.•We give the dominant term of the BEC wavefunction in the non-linear two-level approximation.•We found an explicit relation among physical observables and physical parameters.

Devices based on ultracold atoms moving in an accelerating optical lattice or double-well potential are a promising tool for precise measurements of fundamental physical constants as well as for the construction of sensors. Here, we carefully analyze the model of a couple of BECs separated by a barrier in an accelerated field and we show how the observable quantities, mainly the period of the beating motion or of the phase-shift, are related to the physical parameters of the model as well as to the energy of the initial state.