15 years ago, PRX was launched as an open access venue for publication of outstanding papers in all areas of physics. To celebrate this milestone, the PRX editorial team has selected papers for several collections that will appear in the upcoming months. In this one we are proud to highlight a set of our most influential theoretical papers that we have published in recent years, across multiple topics. The next collections will focus on experimental and numerical papers.

We are very grateful to all the authors who entrusted us with publishing these important results, and we aim to continue to disseminate landmark research that will further inspire the physics community in the future.

Reconstructing a stochastic dynamical model from single noisy trajectories of complex Brownian systems is made possible by an efficient force inference technique.

Recent experiments with excited cold-atom gases emulate a gauge theory that describes 1D quantum electrodynamics, insight that could help with the development of tabletop experiments for probing extreme states of matter.

Nonreciprocal interactions among different particle species in active matter can lead to large-scale complex oscillatory patterns, according to a new model of such systems.

Predicting interactions between molecules and photons is now possible with a new model that combines quantum electrodynamics and a widely used formalism from quantum chemistry.

Product formulas offer a powerful, simple approach to quantum simulation. A new theory quantifying their errors puts these algorithms on a rigorous foundation, showcasing their superiority over other methods.

A new framework for studying Hilbert space fragmentation—the emergence of disconnected regions in the abstract vector space of quantum physics—may shed light on why some quantum systems fail to thermalize.

A novel description of black-hole microstates as quantum superpositions of objects with geometric semiclassical descriptions explains the origin of black-hole entropy.

A comprehensive classification of spin space groups, a hidden symmetry of magnetic materials, paves the way for a more complete understanding of magnetic phases and the design of novel materials.

A systematic study of over 100 000 spin space groups provides a foundational theory for symmetry in magnetic ordered materials that opens new paths for the fundamental comprehension and the exploration of emergent phenomena in such systems.

An extensive database of over 157 000 spin space groups provides researchers with a searchable tool for exploring the symmetries of a wide variety of magnetic materials.

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