Vibration-Assisted Multi-Photon Resonance and Multi-Ion Excitation

TL;DR

This paper explores how vibrating ion-qubits in a cavity can enable controlled multi-photon and multi-ion interactions, with potential applications in entangled multi-qubit systems and quantum information processing.

Contribution

It derives effective Hamiltonians for multi-photon and multi-ion interactions in a vibrating ion-cavity system, demonstrating tunable coupling and dynamic behaviors including Rabi oscillations.

Findings

Effective Hamiltonians for three-photon and three-ion excitation cases.

Tunable ion-photon coupling via vibration mode.

Observation of Rabi oscillations with dissipation effects.

Abstract

We investigate the multi-photon resonance and multi-ion excitation in a single-mode cavity with identical vibrating ion-qubits, which enables the tripartite interaction among the internal states of ions, the cavity mode and the ions' vibrational motion. Under particular resonant conditions, we derive effective Hamiltonians for the three-photon and the three-excitation cases, respectively, and find that the magnitude of the effective coupling energy can be tuned through the vibration mode, allowing for manipulations of ion-photon coupling in experiments. Furthermore, we analyze the system dynamics of our proposed setups and demonstrate the Rabi oscillation behaviors in these systems with dissipation effects. We propose our system as a versatile platform for the exploration of entangled multi-qubit physics.