Counterdiabatic driving in spin squeezing and Dicke state preparation

TL;DR

This paper introduces a counterdiabatic driving method to efficiently generate spin squeezed and Dicke states in atomic systems, enhancing quantum metrology and information processing capabilities.

Contribution

It presents a novel approach using compensating operators to suppress diabatic transitions during state preparation, applicable with experimentally feasible Hamiltonians.

Findings

Effective suppression of diabatic transitions demonstrated

Method applicable with existing quadratic Hamiltonians

Potential improvements in quantum state preparation efficiency

Abstract

A method is presented to transfer a system of two-level atoms from a spin coherent state to a maximally spin squeezed Dicke state, relevant for quantum metrology and quantum information processing. The initial state is the ground state of an initial linear Hamiltonian which is gradually turned into a final quadratic Hamiltonian whose ground state is the selected Dicke state. We use compensating operators to suppress diabatic transitions to unwanted states that would occur if the change were not slow. We discuss the possibilities of constructing the compensating operators by sequential application of quadratic Hamiltonians available in experiments.