Dynamical generation of phase-squeezed states in a two-component Bose-Einstein condensates

TL;DR

This paper demonstrates the dynamic generation of phase-squeezed states in two-component Bose-Einstein condensates confined in a double well, achieving sub-shot-noise phase sensitivity for interferometry.

Contribution

It introduces a method to generate phase-squeezed states dynamically in BECs, enhancing interferometric sensitivity beyond shot-noise limits.

Findings

States exhibit squeezing along S_y and anti-squeezing along S_z

Achieves sub-shot-noise phase sensitivity

States are generated in a symmetric double well BEC

Abstract

As an "input" state of a linear (Mach-Zehnder or Ramsey) interferometer, the phase-squeezed state proposed by Berry and Wiseman exhibits the best sensitivity approaching to the Heisenberg limit [Phys. Rev. Lett. 85, 5098 (2000)]. In this paper, we find that it can be generated dynamically with atomic Bose-Einstein condensates confined in a symmetric double well. Similar with the Berry and Wiseman's state, the prepared states show the squeezing along spin operator S_y and the anti-squeezing along S_z, leading to a sub-shot-noise of the phase sensitivity.