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An analogous all-optical Stern–Gerlach experiment is observed in nonlinear optics, where the frequency of light acts as a pseudospin. The deflection depends on the strength of the nonlinear coupling gradient as well as on the relative phase between the different input frequencies.

This study reports coherent Aharonov–Bohm interference, including statistical phase contributions, in a Fabry–Pérot interferometer at two even-denominator fractional quantum Hall states in high-mobility bilayer-graphene van der Waals heterostructures is reported.

Quasi-phase matching enhances nonlinear optics but typically requires fixed material changes. Here, authors demonstrate the first optically programmable quasi-phase matching in standard fibers, enabling broadband, tunable wavelength conversion over 298 nm without altering the fiber.

Light guiding typically relies on modifying the material’s linear permittivity. Here, guided wave circuits of frequency-superposition light beams are realized without changing the linear refractive index, by modifying the material’s nonlinearity, enabling all-optical controlled photonic devices.

The authors identify a novel delocalization mechanism for topologically trivial obstructed insulators. In transitioning from two topologically trivial states, where one would expect Anderson’s localization to take place, a delocalized ‘critical metal phase’ appears.

Interacting electrons in Hofstadter bands can form symmetry-broken topological states. These are now revealed in magic-angle twisted bilayer graphene, and their properties are influenced by non-uniform quantum geometry.

Topological quantum states can power fault-tolerant computing and solving classically hard problems. Here, authors create, measure and braid Fibonacci anyons on a superconducting processor obtaining golden-ratio and sample the anyon-free state to estimate chromatic polynomials.

Control of effective magnetization textures like skyrmions is limited by the thermodynamic stability in current materials. Here, the authors propose a 3D nonlinear photonic crystal to emulate 2D spin transport phenomena with excellent controllability.

Experiments of the Aharonov–Bohm type typically involve particles that are charged and interact with a magnetic flux. Photons aren't the former and don't do the latter. Yet, an Aharonov–Bohm ring for photons has just been realized experimentally.

Diract imaging of supercurrent flow at a Josephson junction has been inaccessible in experiment. Here, using nanoscale magnetometry, the authors find large kinetic inductance of thin film superconductors can lead to competing Josephson vortex states hidden below the critical current, and also provide a new route towards the Josephson diode effect.

In Bi₂O₂Se thin films, the local inversion-symmetry breaking in two sectors of the [Bi₂O₂]²⁺ layer yields opposite Rashba spin polarizations, which compensate each other and give rise to the hidden Rashba effect. Hence, the films exhibit only even-integer quantum Hall states, but there is no sign of odd-integer states.

Electrostatically tunable graphene-based electronic interferometers show non-trivial exchange statistics of quasiparticles, revealing their wave-like properties.

A quantum twisting microscope based on a unique van der Waals tip and capable of performing local interference experiments opens the way for new classes of experiments on quantum materials.

Topological states characterized by Chern numbers are usually considered to be the global properties of a material. Now a spatial patchwork of different Chern insulator states is imaged in twisted bilayer graphene.

At elevated temperatures, electron hydrodynamics efficiently eliminate the ‘bulk Landauer–Sharvin’ resistance, demonstrating that hydrodynamics can dramatically modify the well-established rules obeyed by ballistic electrons.

Magic-angle graphene is found to have an exotic phase transition where, on heating, entropy is transferred from motional to magnetic degrees of freedom, analogously to the Pomeranchuk effect in ³He.

We measure efficient heat conductance through the electrically insulating quantum Hall bulk and propose a theoretical model based on the role played by the localized states.

The emergence of a liquid-like electronic flow from ballistic flow in graphene is imaged, and an almost-ideal viscous hydrodynamic fluid of electrons exhibiting a parabolic Poiseuille flow profile is observed.

Local electronic compressibility measurements of magic-angle twisted bilayer graphene show that the insulating and superconducting phases of this system are both derived from a high-energy symmetry-broken state.

Measurements of the thermal Hall conductance in the first excited Landau level of the quantum Hall effect show the existence of a state with non-Abelian excitations.

This paper reports data of shot noise generated by the 5/2 fractional state in an ultraclean two-dimensional electron gas that compellingly points in the direction of the e/4 quasiparticles. It is believed that this observation is a first step towards understanding new fractional charges.

Topological qubits are attractive because of the potential to store quantum information in a topologically protected manner; however, they are challenging to realize. This Review surveys the recent attempts to realize topological qubits out of materials systems that combine superconductivity, spin–orbit coupling and a magnetic field, and surveys both theoretical ideas and experimental results.

Evidence is found for phase-tunable Majorana zero modes in scalable two-dimensional Josephson junctions produced by top-down fabrication.

Quasiparticles in strongly interacting fractional quantum Hall systems carry heat according to the same quantization of thermal conductance as for particles in non-interacting systems.