Tunable-range, photon-mediated atomic interactions in multimode cavity QED
Varun D. Vaidya, Yudan Guo, Ronen M. Kroeze, Kyle E. Ballantine,, Alicia J. Koll\'ar, Jonathan Keeling, and Benjamin L. Lev

TL;DR
This paper demonstrates that multimode cavity QED can create tunable, local photon-mediated interactions between atoms, enabling exploration of complex quantum many-body phenomena beyond mean-field models.
Contribution
The work experimentally shows how multimode cavity QED allows for tunable-range, local interactions between Bose-Einstein condensates, surpassing the limitations of single-mode cavities.
Findings
Interference of cavity modes enables tunable interaction range.
Symmetry of confocal cavity allows measurement of atom-atom interactions.
Atom coupling can be adjusted from short to long range.
Abstract
Optical cavity QED provides a platform with which to explore quantum many-body physics in driven-dissipative systems. Single-mode cavities provide strong, infinite-range photon-mediated interactions among intracavity atoms. However, these global all-to-all couplings are limiting from the perspective of exploring quantum many-body physics beyond the mean-field approximation. The present work demonstrates that local couplings can be created using multimode cavity QED. This is established through measurements of the threshold of a superradiant, self-organization phase transition versus atomic position. Specifically, we experimentally show that the interference of near-degenerate cavity modes leads to both a strong and tunable-range interaction between Bose-Einstein condensates (BECs) trapped within the cavity. We exploit the symmetry of a confocal cavity to measure the interaction between…
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