Adiabatic Mach-Zehnder interferometer in dipolar spin-1 condensate

TL;DR

This paper proposes a scheme for Heisenberg-limited Mach-Zehnder interferometry using dipolar spin-1 condensates, leveraging adiabatic magnetic field sweeps to create entangled states and enhance measurement precision.

Contribution

It introduces a realizable adiabatic scheme for Heisenberg-limited interferometry with dipolar spin-1 condensates, including the creation of path-entangled states and spin squeezing.

Findings

Achieves perfect phase transition for beam splitting and recombining.

Enhances phase measurement precision to the Heisenberg limit.

Identifies spin squeezing near saturation magnetic field.

Abstract

Mach-Zehnder interferometer, a powerful tool for a wide variety of measurements, has been realized with Bose-Einstein condensates in recent experiments. In this report, we propose and analyze a realizable scheme for performing a Heisenberg-limited Mach-Zehnder interferometry with dipolar spin-1 condensate. Based upon adiabatic processes of sweeping the transverse magnetic field, we demonstrate a perfect phase transition, which accomplishes the beam splitter, phase shifter and recombiner as for a Mach-Zehnder interferometer. The attractive dipolar interaction ensures the existence of a path-entangled state which enhances the phase measurement precision to the Heisenberg limit. We also discuss the spin-$1$ squeezing induced in the adiabatic passage and show that the squeezing parameter attains its minimal value near the point of saturation field.