Optimizing the preparation of Dicke states using counterdiabatic driving methods

TL;DR

This paper presents a scalable, high-fidelity method for preparing Dicke states in atomic systems using counterdiabatic driving combined with rapid adiabatic passage, enhancing quantum state control.

Contribution

It introduces a theoretical scheme that integrates one-axis twisting interactions, external fields, and counterdiabatic driving to efficiently generate Dicke states.

Findings

Numerical simulations show high fidelity in Dicke state preparation.

The scheme is scalable to a moderate number of particles.

Potential applications include quantum metrology and quantum information processing.

Abstract

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a theoretical scheme for the efficient preparation of Dicke states in a system of non-interacting two-level atoms. Our approach leverages the one-axis twisting (OAT) interaction to generate non-classical correlations and combines it with time-dependent external fields to achieve precise control over the dynamics of the system. By employing rapid adiabatic passage (RAP), it demonstrates how the system can be steered from an initial coherent spin state to a target Dicke state with high fidelity [S. C. Carrasco, M. H. Goerz, S. A. Malinovskaya, V. Vuleti\'c, W. P. Schleich, and V. S. Malinovsky, Phys. Rev. Lett. \textbf{132}, 153603 (2024)]. To further optimize the preparation process, we introduce counterdiabatic driving (CD), which suppresses non-adiabatic transitions. Numerical simulations confirm that our scheme can achieve high-fidelity Dicke states for a moderate number of particles. Our results provide a scalable and experimentally feasible approach to prepare Dicke states, with potential applications in quantum metrology, quantum communication, and quantum information processing.