Quantum gas microscopy of a geometrically frustrated Hubbard system

Abstract

Geometrically frustrated many-particle quantum systems are notoriously hard to study numerically but are of profound interest because of their unusual properties and emergent phenomena. In these systems energetic constraints cannot be minimized simultaneously, leading to large ground-state degeneracy and a variety of exotic quantum phases. Here, we present a platform that enables unprecedentedly detailed experimental exploration of geometrically frustrated electronic systems on lattices with triangular geometry. We demonstrate the first realization of triangular atomic Hubbard systems, directly image Mott insulators in the triangular geometry with single-atom and single-site resolution, and measure antiferromagnetic spin-spin correlations for all nearest neighbors allowing for thermometry. This platform provides a powerful new approach for studying exotic quantum magnetism and direct detection of quantum spin liquid signatures in Hubbard systems.

13 pages, 10 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
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• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
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Cited by in corpus (17)

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• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Single-beam grating-chip 3D and 1D optical lattices
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
• A Multi-Purpose Platform for Analog Quantum Simulation
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• Two $T$-linear scattering rate regimes in the triangular lattice Hubbard model
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Particle-Hole Asymmetry and Pinball Liquid in a Triangular-Lattice Extended Hubbard Model within Mean-Field Approximation
• Fast, accurate, and predictive method for atom detection in site-resolved images of microtrap arrays
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators