We show that the relativistic signatures on the transition probability of atoms moving through optical cavities are very sensitive to their spatial trajectory. This allows for the use of internal atomic degrees of freedom to measure small time-dependent perturbations in the proper acceleration of an atomic probe, or in the relative alignment of a beam of atoms and a cavity.
DOI:https://doi.org/10.1103/PhysRevA.90.062107
©2014 American Physical Society
The nonperturbed (blue dashed curve) and perturbed (green solid curve) trajectory for the accelerometer scenario. The trajectory is parametrized in terms of the proper time of the detector.
Reuse & PermissionsThe nonperturbed (blue dashed curve) and perturbed (green solid curve) trajectory for the alignment metrology detting. The trajectory is parametrized in the laboratory's frame .
Reuse & PermissionsBehavior of the sensitivity of the detector's transition probability as a function of the amplitude of a perturbed proper acceleration for different initial accelerations.
Reuse & PermissionsSpectral response of the detector for (a) both relativistic and nonrelativistic accelerations, (b) different modes of the field that are in coherent states and coupled to the ground state of the detector, and (c) different lengths of the cavity.
Reuse & PermissionsThe sensitivity of the excitation probability of the detector to the amplitude of the trajectory perturbations for (a) different constant accelerations and (b) different frequencies of perturbation.
Reuse & PermissionsSpectral response of the detector for (a) different accelerations from nonrelativistic regimes to relativistic regimes , (b) different lengths of the optical cavity, and (c) different modes of the field that are in coherent states and coupled to the state of the detector.
Reuse & Permissions
