Robust creation of arbitrary-sized Dicke states using a single laser pulse

TL;DR

This paper introduces a robust, efficient method for creating maximally entangled Dicke states in ion traps using a single chirped laser pulse, applicable to any number of ions and excitations, with high fidelity.

Contribution

It presents a novel adiabatic passage technique utilizing a single laser pulse and Hilbert space factorization to generate Dicke states, improving robustness and scalability.

Findings

High fidelity (up to 98%) for ten-ion Dicke states.

Method is robust against laser fluctuations and heating effects.

Applicable to any number of ions and excitations.

Abstract

We propose a novel technique for the creation of maximally entangled symmetric Dicke states in an ion trap using adiabatic passage, which requires only a pair of chirped pulses from a single laser and is applicable to any number of ions and excitations. By utilising a particular factorisation of the Hilbert space for multi-level ladders we show that the problem can be reduced to `bow-tie' configuration energy-level crossings. This technique is naturally robust against fluctuations in the laser intensity and the chirp rate. Even when realistic heating rates are considered, we estimate that the overall fidelity should remain high (e.g. 98% for a ten-ion Dicke state), which represents a significant improvement over traditional approaches.