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The microscopic pairing mechanism in high-temperature superconductors remains debated. Here, the authors offer a new perspective on this problem by proposing that the strong pairing in Fermi-Hubbard type models relevant to cuprates is driven by a Feshbach resonance, which enhances interactions between doped holes.

Studies of unconventional pairing mechanisms in cold atoms require ultralow temperatures. Large-scale numerics show that certain bilayer models allow for deeply bound and highly mobile pairs of charges at more accessible temperatures.

A doped quantum antiferromagnet is obtained by using a Rydberg tweezer array comprising three levels encoding spins and holes to implement a tunable model that allows the study of previously inaccessible parameter regimes.

Quantum gas microscopes provide high-resolution real-space snapshots of quantum many-body systems. Now machine-learning techniques are used in choosing theoretical descriptions according to the consistency of their predictions with these snapshots.

The combination of interparticle interactions and a synthetic gauge field leads to chirality in the propagation dynamics of particles in a ladder-like lattice.

The microscopic mechanism of superconducting pairing in hole-doped cuprates is still debated. Here, using state-of-the-art numerical techniques, the authors examine the properties of pairs of holes in a model relevant to cuprates revealing two types of bound states involving light and heavy hole pairs.

Observations of the formation of individual stripes in a mixed-dimensional cold-atom Fermi–Hubbard quantum simulator are described, enhancing understanding of the phase diagram of high-temperature superconducting materials and the relationship between charge pairs and stripes.

Using ultracold atoms trapped in an optical lattice, a Laughlin-like fractional quantum Hall state is prepared and mapped out on a microscopic level.

The direct observation of hole pairing in a doped Hubbard model is demonstrated using ultracold atoms in a quantum gas microscope setting by engineering mixed-dimensional fermionic ladders.

Synthetic lattice systems are powerful platforms for studying the influence of intrinsic nonlinearities on topological phenomena. Here the authors elucidate the topological transport of solitons in terms of Wannier functions displacement and they introduce a nonlinearity-induced topological transport effect that could be observed in ultracold quantum mixtures.

An effective Hamiltonian exhibiting \({\Bbb Z}_2\) symmetry has been engineered by implementing a Floquet-based method on ultracold bosons in an optical lattice, providing a first step towards quantum simulation of \({\Bbb Z}_2\) lattice gauge theories with ultracold matter.

The robust implementation of gauge fields coupled to dynamical matter in large-scale quantum simulators is limited by the ever-present gauge-breaking errors. The authors propose an experimentally suitable scheme combining two-body interactions with weak fields, demonstrating its robustness against gauge breaking errors and its flexibility in the study of various models with Z2 gauge symmetry.

Large-scale quantum simulations of gauge theories are relevant to high-energy and condensed matter physics. This Review covers recent developments in simulating lattice gauge theories using cold atoms.

Magnetic polarons are imaged with single-site spin and density resolution in the low-doping regime of the atomic Fermi–Hubbard model, showing that mobile delocalized doublons are necessary for polaron formation.

An antiferromagnet with a correlation length that encompasses the whole system is created with the aid of quantum gas microscopy of cold atoms in an optical lattice.

Gauge theories are frameworks describing elementary particles and their interactions as mediated by gauge bosons and have acquired increased recent interest in connection to quantum supremacy. The authors analytically and numerically present a gauge-protection scheme based on the concept of a local pseudogenerator, applying it for nonperturbative errors generation in analog quantum simulators up to the thermodynamic limit

The authors study a minimal model to describe the physics of bilayer nickelates, a novel high-temperature superconductor. They find that the model features extraordinarily high critical temperatures for superconductivity, and gain a detailed understanding of the underlying physics through an intuitive perturbative limit.

The interplay of kinetic and spin degrees of freedom in strongly correlated materials leads to interesting emergent many-body phases, but their microscopic origin is still unclear. Here, a theoretical study quantifies the effect of hole motion in driving an antiferromagnetic spin background into a highly frustrated magnetic system.

Neural network quantum states (NQS) are a promising method to simulate large fermionic systems. This work reports on accurate simulations of the t-J model in 1D and 2D lattices by means of NQS based on a recurrent neural network (RNN) architecture focusing on the calculation of dispersion relations, for which a general method is introduced, and on the performance of the RNN ansatz upon doping.