The hubbard model

DP Arovas, E Berg, SA Kivelson… - Annual review of …, 2022 - annualreviews.org
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 …

Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges

B Fauseweh - Nature Communications, 2024 - nature.com
Simulating quantum many-body systems is a key application for emerging quantum
processors. While analog quantum simulation has already demonstrated quantum …

Engineering topological states in atom-based semiconductor quantum dots

M Kiczynski, SK Gorman, H Geng, MB Donnelly… - Nature, 2022 - nature.com
The realization of controllable fermionic quantum systems via quantum simulation is
instrumental for exploring many of the most intriguing effects in condensed-matter physics …

Antiferromagnetic phase transition in a 3D fermionic Hubbard model

HJ Shao, YX Wang, DZ Zhu, YS Zhu, HN Sun, SY Chen… - Nature, 2024 - nature.com
The fermionic Hubbard model (FHM) describes a wide range of physical phenomena
resulting from strong electron–electron correlations, including conjectured mechanisms for …

Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer

S Stanisic, JL Bosse, FM Gambetta, RA Santos… - Nature …, 2022 - nature.com
The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems
is a prominent target for quantum computers. However, accurately representing the Fermi …

Quantum computation and quantum simulation with ultracold molecules

SL Cornish, MR Tarbutt, KRA Hazzard - Nature Physics, 2024 - nature.com
Ultracold molecules confined in optical lattices or tweezer traps can be used to process
quantum information and simulate the behaviour of many-body quantum systems. Molecules …

Coexistence of superconductivity with partially filled stripes in the Hubbard model

H Xu, CM Chung, M Qin, U Schollwöck, SR White… - Science, 2024 - science.org
The Hubbard model is an iconic model in quantum many-body physics and has been
intensely studied, especially since the discovery of high-temperature cuprate …

Quantum advantage and stability to errors in analogue quantum simulators

R Trivedi, A Franco Rubio, JI Cirac - Nature Communications, 2024 - nature.com
Several quantum hardware platforms, while being unable to perform fully fault-tolerant
quantum computation, can still be operated as analogue quantum simulators for addressing …

Superconductivity in the pressurized nickelate La3Ni2O7 in the vicinity of a BEC–BCS crossover

H Schlömer, U Schollwöck, F Grusdt… - Communications …, 2024 - nature.com
Ever since the discovery of high-temperature superconductivity in cuprates, gaining
microscopic insights into the nature of pairing in strongly correlated systems has remained …

Origin and fate of the pseudogap in the doped Hubbard model

F Šimkovic IV, R Rossi, A Georges, M Ferrero - Science, 2024 - science.org
The relationship between the pseudogap and underlying ground-state phases has not yet
been rigorously established. We investigated the doped two-dimensional Hubbard model at …