The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

After decades of development, quantum information science and technology has now come
to its golden age. It is not only widely believed that quantum information processing offers …

The quasi-two-dimensional kagome materials AV3Sb5 (A= K, Rb, Cs) were found to be a
prime example of kagome superconductors, a new quantum platform to investigate the …

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice,
interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization …

This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …

The defining problem in frustrated quantum magnetism, the ground state of the nearest-
neighbor S= 1/2 antiferromagnetic Heisenberg model on the kagome lattice, has defied all …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

We use the density matrix renormalization group to perform accurate calculations of the
ground state of the nearest-neighbor quantum spin S= 1/2 Heisenberg antiferromagnet on …