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Engineering non-binary Rydberg interactions via electron-phonon coupling

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

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Authors

F M Gambetta

WEIBIN LI weibin.li@nottingham.ac.uk
Associate Professor

F Schmidt-Kaler



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 Mar 29, 2024
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

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