Generation of Dicke States with Phonon-Mediated Multi-level Stimulated Raman Adiabatic Passage

TL;DR

This paper demonstrates a robust, phonon-mediated multi-level STIRAP method to generate half-excited symmetric Dicke states in ions, avoiding local access and full quantum tomography, with efficient fidelity bounds evaluation.

Contribution

It introduces a novel phonon-mediated multi-level STIRAP technique for Dicke state generation that is robust and does not require local ion access or phonon state preparation.

Findings

Successfully generated Dicke states of two and four ions.

Method is robust due to adiabatic process nature.

Fidelity bounds are determined without full tomography.

Abstract

We generate half-excited symmetric Dicke states of two and four ions. We use multi-level stimulated Raman adiabatic passage (STIRAP) whose intermediate states are phonon Fock states. This process corresponds to the spin squeezing operation and half-excited Dicke states are generated during multi-level STIRAP. This method does not require local access for each ion or the preparation of phonon Fock states. Furthermore, it is robust since it is an adiabatic process. We evaluate the Dicke state using a witness operator and determine the upper and lower bounds of the fidelity without using full quantum tomography.