Quantum Simulations of Condensed Matter Phenomena

Douglas J. Scalapino

S. L. Rolston

Using ultracold atomic systems as quantum simulators, many-body physics phenomena relevant to condensed matter systems can be explored. I will survey work in this area, and concentrate on the study of disorder in two-dimensional systems.

Ruizhe Shen, Tianqi Chen, Tommy Tai +3 more

Quantum hardware platforms are getting increasingly sophisticated in their ability to simulate condensed matter, including but not limited to strongly-correlated, topological, and non-equilibrium phenomena. This review surveys recent progress in quantum-hardware-based simulations of condensed matter, primarily emphasizing gate-based digital quantum computer simulation, with analog experiments discussed as complementary benchmarks. We first review major hardware platforms, including superconducting qubits, trapped-ions, ultracold atoms, Rydberg arrays, photonic systems, and moire quantum materials. We then introduce the basic ingredients of digital quantum simulation. Building on this foundation, we discuss representative applications to condensed-matter physics, spanning ground-state problems, strongly correlated matter, topological phases, non-equilibrium dynamics, open-system physics, and high-energy-physics-inspired simulations. Finally, we summarize key methodological tools used in state-of-the-art quantum-simulation workflows. We emphasize that present noisy quantum simulations serve not only as near-term demonstrations, but also as prototypes for the encodings, diagnostic protocols and error-control strategies required for future fault-tolerant quantum simulation.

Lucas Backes

J. D. Doll, James E. Gubernatis

The purpose of this workshop is to present and exchange information on rapidly growing areas in physics and chemistry where quantum simulation techniques are being developed and applied to the study of a variety of condensed matter phenomena. These techniques include, but are not limited to zero and finite temperature many-electron Monte Carlo methods, quantum spin systems techniques, variational and Green's function Monte Carlo methods, exact diagonalization studies of small clusters, and studies of real-time quantum dynamics by path-integral and related approaches.

Ali Hussain Resak