Multiparticle Interactions for Ultracold Atoms in Optical Tweezers: Cyclic Ring-Exchange Terms

Annabelle Bohrdt, Ahmed Omran, Eugene Demler, Snir Gazit, Fabian Grusdt

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Dominant multiparticle interactions can give rise to exotic physical phases with anyonic excitations and phase transitions without local order parameters. In spin systems with a global SU(N) symmetry, cyclic ring-exchange couplings constitute the first higher-order interaction in this class. In this Letter, we propose a protocol showing how SU(N)-invariant multibody interactions can be implemented in optical tweezer arrays. We utilize the flexibility to rearrange the tweezer configuration on short timescales compared to the typical lifetimes, in combination with strong nonlocal Rydberg interactions. As a specific example, we demonstrate how a chiral cyclic ring-exchange Hamiltonian can be implemented in a two-leg ladder geometry. We study its phase diagram using density-matrix renormalization group simulations and identify phases with dominant vector chirality, a ferromagnet, and an emergent spin-1 Haldane phase. We also discuss how the proposed protocol can be utilized to implement the strongly frustrated J-Q model, a candidate for hosting a deconfined quantum critical point.

Original languageAmerican English
Article number073601
JournalPhysical Review Letters
Volume124
Issue number7
DOIs
StatePublished - 19 Feb 2020

Bibliographical note

Publisher Copyright:
© 2020 American Physical Society.

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