Quantum state engineering by shortcuts-to-adiabaticity in interacting spin-boson systems

TL;DR

This paper introduces a fast, robust method using shortcuts to adiabaticity to generate non-classical states in spin-boson systems, enabling efficient creation of Fock states, superpositions, and photon-shifted states with enhanced non-classicality.

Contribution

It presents a novel protocol leveraging shortcuts to adiabaticity for engineering non-classical bosonic states in spin-boson systems, applicable to current experimental setups.

Findings

Successfully generates arbitrary Fock states.

Creates Schrödinger cat-like superpositions.

Produces photon-shifted states with increased non-classicality.

Abstract

We present a fast and robust framework to prepare non-classical states of a bosonic mode exploiting a coherent exchange of excitations with a two-level system ruled by a Jaynes-Cummings interaction mechanism. Our protocol, which is built on shortcuts to adiabaticity, allows for the generation of arbitrary Fock states of the bosonic mode, as well as coherent quantum superpositions of a Schr\"odinger cat-like form. In addition, we show how to obtain a class of photon-shifted states where the vacuum population is removed, a result akin to photon addition, but displaying more non-classicality than standard photon-added states. Owing to the ubiquity of the spin-boson interaction that we consider, our proposal is amenable for implementations in state-of-the-art experiments.