Adiabatic Mach-Zehnder interferometer via an array of trapped ions

TL;DR

This paper proposes a method to implement Heisenberg-limited Mach-Zehnder interferometry using an array of trapped ions modeled by a quantum Ising system, demonstrating a feasible adiabatic process to generate NOON states for enhanced precision.

Contribution

It introduces a novel scheme for ion-based interferometry leveraging adiabatic state transitions to produce NOON states for quantum-enhanced measurements.

Findings

Successful transition from paramagnetic to ferromagnetic states via adiabatic processes.

Generation of NOON states enabling Heisenberg-limited interferometry.

Feasibility of experimental implementation with current ultracold ion techniques.

Abstract

We explore the possibility of implementing a Heisenberg-limited Mach-Zehnder interferometry via an array of trapped ions, which obey a quantum Ising model within a transverse field. Based upon adiabatic processes of increasing the Ising interaction and then decreasing the transverse field, we demonstrate a perfect transition from paramagnetism to ferromagnetic states, which can be used as the beam splitter for the multi-ion Mach-Zehnder interferometry. The achieved NOON state of the ions enables the Heisenberg-limited interferometry. Using currently available techniques for ultracold ions, we discuss the experimental feasibility of our scheme with global operations.