Near-Heisenberg-limited parameter estimation precision by a dipolar-Bose-gas reservoir engineering

TL;DR

This paper introduces a method to achieve Heisenberg-limited precision in parameter estimation by using a dipolar Bose-Einstein condensate as a reservoir, enabling controllable nonlinear interactions and enhanced quantum metrology.

Contribution

It demonstrates how dipolar interactions can be engineered to produce non-Gaussian entangled states that surpass traditional spin-squeezed states in phase estimation precision.

Findings

Dipolar interactions enable controllable nonlinearities.

Non-Gaussian states achieve Heisenberg scaling in phase estimation.

Reservoir engineering improves quantum metrology performance.

Abstract

We propose a scheme to obtain the Heisenberg-limited parameter estimation precision by immersing atoms in a thermally equilibrated quasi-one-dimensional dipolar Bose-Einstein condensate reservoir. We show that the collisions between the dipolar atoms and the immersed atoms can result in a controllable nonlinear interaction through tuning the relative strength and the sign of the dipolar and contact interaction. We find that the repulsive dipolar interaction reservoir is preferential for the spin squeezing and the appearance of an entangled non-Gaussian state. As a useful resource for quantum metrology, we also show that the non-Gaussian state results in the phase estimation precision in the Heisenberg scaling, outperforming that of the spin-squeezed state.