Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms

Abstract

Dominant multi-particle 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 how $SU(N)$ invariant multi-body interactions can be implemented in optical tweezer arrays. We utilize the flexibility to re-arrange the tweezer configuration on time scales short compared to the typical lifetimes, in combination with strong non-local 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 DMRG 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.

4+3 pages, 3+2 figures

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• "Deconfined" quantum critical points
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Single-Spin Addressing in an Atomic Mott Insulator
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Optical Abelian Lattice Gauge Theories
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Rotating Few-body Atomic Systems in the Fractional Quantum Hall Regime
• Minimum instances of topological matter in an optical plaquette
• Low-entropy states of neutral atoms in polarization-synthesized optical lattices

Cited by in corpus (1)

• A concise review of Rydberg atom based quantum computation and quantum simulation