Super-radiant super-resolving displacement estimation via multiple photons by the Wang’s method

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.

Keywords:

• Heisenberg limit
• optical interferometer
• super-resolving metrology
• displacement estimation

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).

Additional information

Funding

This work is supported by the National Science Foundation of China [grant number 11064006], [grant number 11464022], [grant number 11347194], [grant number 11404151], the Person with Ability Study Foundation of Kashgar Teachers College (No. 15JJ01058), the key project of Kashgar Teachers College (No. 12-2418).