Engineering non-binary Rydberg interactions via electron-phonon coupling

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

Abstract

Coupling electronic and vibrational degrees of freedom of Rydberg atoms held in optical tweezers 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. Our work shows a highly versatile handle for engineering multi-body interactions of quantum many-body systems in most recent manifestations on Rydberg lattice quantum simulators. Introduction.-In the past years Rydberg atoms [1-3] held in optical tweezer arrays have emerged as a new platform for the implementation of quantum simulators and, potentially, also quantum computers [4-10]. One-[6], two-[11] and three-dimensional [12] arrays containing hundreds of qubits are in principle achievable and the wide tunability of Ryd-berg atoms grants high flexibility for the implementation of a whole host of quantum many-body spin models. The physical dynamics of these quantum simulators takes place in the electronic degrees of freedom which mimic a (fictitious) spin particle. Effective magnetic fields and interactions are achieved via light-shifts effectuated by external laser fields and the electro-static dipolar interaction between Rydberg states. Additional tuning with electric [13] and magnetic fields [14] permits the realization of exotic interactions, allowing for the study of ring-exchange Hamiltonians [15-18], frustrated-spin models [19-21] or crystallization phenomena [22-24].Within this context, in the last decade systems with tunable two-and three-body interactions [25-29] have attracted a lot of attention since the latter are responsible for the emergence of many exotic quantum states of matter, ranging from topological phases [30, 31] to spin liquids [32, 33].

Citation

Gambetta, F. M., Li, W., Schmidt-Kaler, F., & Lesanovsky, I. (2020). Engineering non-binary Rydberg interactions via electron-phonon coupling. Physical Review Letters, 124(4), 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 28, 2020
• Deposit Date: Jan 15, 2020
• Publicly Available Date: Jan 28, 2020
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 124
• Issue: 4
• Article Number: 043402
• DOI: https://doi.org/10.1103/PhysRevLett.124.043402
• Public URL: https://nottingham-repository.worktribe.com/output/3732145
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.043402