String patterns in the doped Hubbard model

Abstract

Understanding strongly correlated quantum many-body states is one of the most difficult challenges in modern physics. For example, there remain fundamental open questions on the phase diagram of the Hubbard model, which describes strongly correlated electrons in solids. In this work we realize the Hubbard Hamiltonian and search for specific patterns within the individual images of many realizations of strongly correlated ultracold fermions in an optical lattice. Upon doping a cold-atom antiferromagnet we find consistency with geometric strings, entities that may explain the relationship between hole motion and spin order, in both pattern-based and conventional observables. Our results demonstrate the potential for pattern recognition to provide key insights into cold-atom quantum many-body systems.

8+28 pages, 5+10 figures

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• Exploration of doped quantum magnets with ultracold atoms
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• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
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• Quantum Simulation of the Bosonic Kitaev Chain
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• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Dynamical formation of a magnetic polaron in a two-dimensional quantum antiferromagnet
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• Unveiling quantum entanglement in many-body systems from partial information
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• Real-time scattering of interacting quasiparticles in quantum spin chains
• Z2 parton phases in the mixed-dimensional $t-J_z$ model
• Thermodynamics and magnetism in the 2D-3D crossover of the Hubbard model
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• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
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• Genuine Multipartite Correlations Distribution in the Criticality of Lipkin-Meshkov-Glick Model
• Recovering quantum correlations in optical lattices from interaction quenches
• Spatial tomography of individual atoms in a quantum gas microscope
• Observation of emergent scaling of spin-charge correlations at the onset of the pseudogap
• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Optical imprinting of superlattices in two-dimensional materials
• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
• Quantifying hole-motion-induced frustration in doped antiferromagnets by Hamiltonian reconstruction
• Higher-Order Spin-Hole Correlations around a Localized Charge Impurity
• Optical lattice experiments at unobserved conditions and scales through generative adversarial deep learning
• Dynamical signatures of thermal spin-charge deconfinement in the doped Ising model
• Phonon-induced pairing in quantum dot quantum simulator
• Quantum tricriticality of incommensurate phase induced by quantum domain walls in frustrated Ising magnetism
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
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• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Polaronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model
• Schrieffer-Wolff Transformations for Experiments: Dynamically Suppressing Virtual Doublon-Hole Excitations in a Fermi-Hubbard Simulator
• Stochastic dynamics of a few sodium atoms in a cold potassium cloud
• The Coming Decades of Quantum Simulation
• Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions
• Numerically exact mimicking of quantum gas microscopy for interacting lattice fermions
• Equilibrium and non-equilibrium dynamics of a hole in a bilayer antiferromagnet
• Exact dynamics of two holes in two-leg antiferromagnetic ladders
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
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• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
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• Fractionalized Fermi liquids and the cuprate phase diagram
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• Spatial structure of magnetic polarons in strongly interacting antiferromagnets
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• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators
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