Abstract
In this paper, we propose a super-radiant measurement scheme to achieve Heisenberg limit super-resolving displacement estimation by encoding multiple light momenta into a three-level atomic ensemble with multiple photons. And by the Wang’s method (Phys. Rev. Lett. 2014, 113, 083601), we use
coherent pulses to prepare a
-excitation super-radiant state in a super-position of two timed Dicke states that are
light momenta apart in the momentum space. The phase difference between these two states induced by a uniform displacement of the atomic ensemble has
sensitivity. In the end, we introduce two experiments based on Ramsey interferometry in crystal and in ultracold atoms.
Acknowledgements
One of the authors (X.L. Xia) would like to thank Professors X.L. Zhou and L. Guo, and Doctors R.Q. Liu.
Disclosure statement
No potential conflict of interest was reported by the author(s).