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Bulletin of the American Physical Society

Cavity coupling of atomic spin and motion

Jonathan Kohler, Justin A. Gerber, Nicolas Spethmann, Sydney Schreppler, Dan Stamper-Kurn

Published May 24, 2016• 0 citations
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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.
We use phase diagrams to study the mean-field dynamics of a spin–orbit coupled Bose–Josephson junction loaded in an optical cavity. We find that the spin Bose Josephson junction has four more combinations of 0- and π-phase motion modes than the bare junction. The spin–orbit coupling strength, the spin–weak atoms interaction energy, the cavity field drive and the cavity field detuning can increase the number of stable points of the Bose–Josephson junction energy. While the increase in cavity field dissipation would decrease the number of stable points of the energy. The increase in the number of 0- and π-phase motion modes will change the motion trajectory of atoms in the junction from a normal order to a disorder. This work indicates that quantum measurement and quantum simulation can be improved by controlling the dynamical quantities of spin atoms in a cavity.