Two-Photon Entanglement in Multimode Jaynes-Cummings Models

Optical cavities with precisely one trapped mode field are technologically challenging to manufacture. To this end, in this work, we present the problem of multimode Jaynes-Cummings models [1]. In particular, we discuss the case of two-photon bipartite entanglement in multimode cavity quantum electrodynamics (QED). We find that the retardation effects in the generated entanglement are related to the size of the cavity. Compared to the single-photon case, we observe sudden death and birth of the entanglement in the two-photon problem. The recent developments in the field of quantum computing based on circuit QED have indicated the existence of new quantum effects when quantum emitters are simultaneously coupled with several optical modes [2]. We expect our results to be applicable in finding an approach to building cavity-based memories for quantum information storage.

[1] “The Jaynes-Cummings Model and Its Descendants: Modern Research Directions”, J. Larson, and T. Mavrogordatos; IOP Series in Quantum Technology (2021).

[2] “Random Access Quantum Information Processors Using Multimode Circuit Quantum Electrodynamics”, R.K. Naik et al.; Nature Communications, 8, 1, (2017).