Scattering theory for cavity-assisted spin-motion-photon interactions
- URL: http://arxiv.org/abs/2606.26542v1
- Date: Thu, 25 Jun 2026 02:34:58 GMT
- Title: Scattering theory for cavity-assisted spin-motion-photon interactions
- Abstract summary: Cavity-assisted photon scattering (CAPS) is a powerful mechanism for realizing strong interactions between qubits and flying photons.<n>Recently, the motional quantum state has emerged as an important building block for quantum information processing with atomic qubits.<n>We develop a complete analytical framework for CAPS that incorporates the coherent interaction between atomic motion and a reflected photon.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Cavity-assisted photon scattering (CAPS) is a powerful mechanism for realizing strong interactions between the internal states of stationary qubits and flying photons, underpinning a broad range of hybrid atom-photon protocols including remote entanglement generation and heralded atom-photon gates. Recently, the motional quantum state has emerged as an important building block for quantum information processing with atomic qubits, both as a coherently controllable degree of freedom and as a fundamental error channel through undesired spin-motion coupling. For the resonant-coupling regime of cavity quantum electrodynamics relevant to CAPS operations, however, the analytical formulation of spin-motion-photon coupling has so far remained elusive. Here, we develop a complete analytical framework for CAPS that incorporates the coherent interaction between atomic motion and a reflected photon by extending scattering theory to include the motional degree of freedom. The resulting compact operator-based input-output relation applies uniformly across various cavity geometries, spin-dependent trapping potentials, and nonidentical multiple spins. As an exemplary application, we use the framework to elucidate how atomic motion affects CAPS-based atom-photon gates, identifying the parameter regimes that suppress motion-induced errors. Our framework provides a theoretical foundation both for mitigating motional errors in CAPS operations and for deliberately exploiting motion-photon interaction at the atom-photon interface.
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