Engineering NonBinary Rydberg Interactions via Phonons in an Optical Lattice

Gambetta, F.?M.; Li, W.; Schmidt-Kaler, F.; Lesanovsky, I.

Abstract

Coupling electronic and vibrational degrees of freedom of Rydberg atoms held in optical tweezer arrays offers a flexible mechanism for creating and controlling atom-atom interactions. We find that the state-dependent coupling between Rydberg atoms and local oscillator modes gives rise to two- and three-body interactions which are controllable through the strength of the local confinement. This approach even permits the cancellation of two-body terms such that three-body interactions become dominant. We analyze the structure of these interactions on two-dimensional bipartite lattice geometries and explore the impact of three-body interactions on system ground state on a square lattice. Focusing specifically on a system of Rb87 atoms, we show that the effects of the multibody interactions can be maximized via a tailored dressed potential within a trapping frequency range of the order of a few hundred kilohertz and for temperatures corresponding to a >90% occupation of the atomic vibrational ground state. These parameters, as well as the multibody induced timescales, are compatible with state-of-the-art arrays of optical tweezers. Our work shows a highly versatile handle for engineering multibody interactions of quantum many-body systems in most recent manifestations on Rydberg lattice quantum simulators.

Citation

Gambetta, F., Li, W., Schmidt-Kaler, F., & Lesanovsky, I. (2020). Engineering NonBinary Rydberg Interactions via Phonons in an Optical Lattice. Physical Review Letters, 124(4), Article 043402. https://doi.org/10.1103/physrevlett.124.043402

• Journal Article Type: Article
• Acceptance Date: Jan 8, 2020
• Online Publication Date: Jan 28, 2020
• Publication Date: Jan 31, 2020
• Deposit Date: Jan 31, 2020
• Publicly Available Date: Mar 24, 2020
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 124
• Issue: 4
• Article Number: 043402
• DOI: https://doi.org/10.1103/physrevlett.124.043402
• Keywords: General Physics and Astronomy
• Public URL: https://nottingham-repository.worktribe.com/output/3842446
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.043402
• Additional Information: Engineering NonBinary Rydberg Interactions via Phonons in an Optical Lattice, F. M. Gambetta, W. Li, F. Schmidt-Kaler, and I. Lesanovsky; Phys. Rev. Lett. 124, 043402