Preparation of NOON State Induced by Macroscopic Quantum Tunneling in an Ising Chain

TL;DR

This paper proposes a theoretical and experimental method to generate NOON states in a Transverse Ising Model using macroscopic quantum tunneling, with potential implementation in linear ion traps.

Contribution

It introduces a novel approach to produce NOON states via MQT in an Ising chain, combining perturbation theory and fermionic descriptions for analytical insight.

Findings

Analytical description of MQT as fermion hopping

Feasibility of NOON state generation in ion traps

Theoretical framework linking MQT to NOON states

Abstract

In this brief report, we propose a possible way, theoretically and experimentally, to generate a NOON state of the two degenerate ferromagnetic ground states of the Transverse Ising Model. In our scheme we employ the macroscopic quantum tunneling (MQT) effect between the two degenerate ferromagnetic ground states to realize the NOON state. Our calculation about the MQT process is based on a higher-order degenerate perturbation method. After doing a transformation, the MQT process could also be treated as the hopping of individual virtual fermions in the spin chain, which will leads to an analytical description of tunneling process. The experimental feasibility for generating the NOON state is discussed in the setup of linear ion trap.