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  • The interaction between light and the crystal lattice of a quantum material can modify its properties. Utilizing nonlinear interactions allows this to be done in a controlled way to design specific non-equilibrium functionalities.

    • Ankit S. Disa
    • Tobia F. Nova
    • Andrea Cavalleri
  • Network representations of complex systems are limited to pairwise interactions, but real-world systems often involve higher-order interactions. This Perspective looks at the new physics emerging from attempts to characterize these interactions.

    • Federico Battiston
    • Enrico Amico
    • Giovanni Petri
  • The interplay of topological properties and non-Hermitian symmetry breaking has been implemented for a range of classical-wave systems. Recent advances, challenges and opportunities are reviewed across the different physical platforms.

    • Corentin Coulais
    • Romain Fleury
    • Jasper van Wezel
  • Hybrid devices of superconductors and semiconductor nanowires may be topological and host majorana. This Perspective summarizes the current situation of the field, and highlights the developments in materials science required to make progress.

    • S. M. Frolov
    • M. J. Manfra
    • J. D. Sau
  • This Perspective argues that an approach called extreme value theory is appropriate for understanding the so-called tail risk of epidemic outbreaks, in particular by demonstrating that the distribution of fatalities due to epidemic outbreaks over the past 2500 years is fat-tailed and dominated by extreme events.

    • Pasquale Cirillo
    • Nassim Nicholas Taleb
  • The identification of superconductivity and strong interactions in twisted bilayer 2D materials prompted many questions about the interplay of these phenomena. This Perspective presents the status of the field and the urgent issues for future study.

    • Leon Balents
    • Cory R. Dean
    • Andrea F. Young
  • The Future Circular Colliders are proposed as a future step after the Large Hadron Collider has stopped running. The first stage foresees collision of electron–positron pairs before a machine upgrade to allow proton–proton operation.

    • Michael Benedikt
    • Alain Blondel
    • Frank Zimmermann
    Perspective Open Access
  • Proposals for the particle physics programmes in the United States and Asia are discussed; mainly the International Linear Collider in Japan, the Circular Electron–Positron Collider in China and accelerator-based long-baseline neutrino experiments in the United States.

    • Pushpalatha C. Bhat
    • Geoffrey N. Taylor
  • The Compact Linear Collider is a proposed high-luminosity electron–positron collider that can reach TeV-scale energies. Its accelerator design and physics programme, mainly focusing on precision measurements and new physics searches, are discussed.

    • Eva Sicking
    • Rickard Ström
    Perspective Open Access
  • This article puts in perspective the relationship between cavity and circuit quantum electrodynamics, two related approaches for studying the fundamental quantum interaction between light and matter.

    • S. Haroche
    • M. Brune
    • J. M. Raimond
  • This Perspective argues that ergodicity — a foundational concept in equilibrium statistical physics — is wrongly assumed in much of the quantitative economics literature. By asking the extent to which dynamical problems can be replaced by probabilistic ones, many economics puzzles are resolved in a natural and empirically testable fashion.

    • Ole Peters
  • A type of stochastic neural network called a restricted Boltzmann machine has been widely used in artificial intelligence applications for decades. They are now finding new life in the simulation of complex wavefunctions in quantum many-body physics.

    • Roger G. Melko
    • Giuseppe Carleo
    • J. Ignacio Cirac
  • Rich data are revealing that complex dependencies between the nodes of a network may not be captured by models based on pairwise interactions. Higher-order network models go beyond these limitations, offering new perspectives for understanding complex systems.

    • Renaud Lambiotte
    • Martin Rosvall
    • Ingo Scholtes
  • Some gravitational phenomena are difficult or even impossible to observe in real spacetime. Laboratory analogues of black-hole horizons offer new perspectives on field theory effects that might help our understanding of gravitation.

    • Carlos Barceló
  • The solutions adopted by the high-energy physics community to foster reproducible research are examples of best practices that could be embraced more widely. This first experience suggests that reproducibility requires going beyond openness.

    • Xiaoli Chen
    • Sünje Dallmeier-Tiessen
    • Sebastian Neubert
    Perspective Open Access
  • Despite the growing interdisciplinarity of research, the Nobel prize consolidates the traditional disciplinary categorization of science. There is, in fact, an opportunity for the most revered scientific reward to mirror the current research landscape.

    • Michael Szell
    • Yifang Ma
    • Roberta Sinatra
  • Recent developments have seen concepts originally developed in quantum information theory, such as entanglement and quantum error correction, come to play a fundamental role in understanding quantum gravity.

    • Xiao-Liang Qi