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 – Published 28 January 2020
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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.

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  • Received 2 August 2019
  • Revised 17 December 2019

DOI:https://doi.org/10.1103/PhysRevLett.124.043402

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

F. M. Gambetta1,2, W. Li1,2, F. Schmidt-Kaler3,4, and I. Lesanovsky1,2

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom
  • 2Centre for the Mathematics and Theoretical Physics of Quantum Non-equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom
  • 3QUANTUM, Institut für Physik, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany
  • 4Helmholtz-Institut Mainz, 55128 Mainz, Germany

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Issue

Vol. 124, Iss. 4 — 31 January 2020

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