Motional $N$-phonon Bundle States of A Trapped Atom with Clock Transitions

TL;DR

This paper proposes a method to generate strongly correlated phonon bundle states in a trapped atom system, enabling high-quality multiphonon sources for quantum information and metrology applications.

Contribution

It introduces a novel scheme operating in the atom-phonon resonance regime to produce large steady-state phonon bundle states with strong correlations.

Findings

Achieves well-resolved phonon number states due to strong anharmonicity.

Generates large steady-state phonon numbers in bundle states.

Potential for high-quality multiphonon sources for quantum technologies.

Abstract

Quantum manipulation of individual phonons could offer new resources for studying fundamental physics and creating an innovative platform in quantum information science. Here, we propose to generate quantum states of strongly correlated phonon bundles associated with the motion of a trapped atom. Our scheme operates in the atom-phonon resonance regime where the energy spectrum exhibits strong anharmonicity such that energy eigenstates with different phonon numbers can be well-resolved in the parameter space. Compared to earlier schemes operating in the far dispersive regime, the bundle states generated here contain a large steady-state phonon number. Therefore, the proposed system can be used as a high quality multiphonon source. Our results open up the possibility of using long-lived motional phonons as quantum resources, which could provide a broad physics community for applications in quantum metrology.