Searching for quantum functionalities requires access to the electronic structure, constituting the foundation of exquisite spin-valley–electronic, topological, and many-body effects. All-optical band-structure reconstruction could directly connect electronic structure with the coveted quantum phenomena if strong lightwaves transported localized electrons within preselected bands. Here, we demonstrate that harmonic sideband (HSB) generation in monolayer tungsten diselenide creates distinct electronic interference combs in momentum space. Locating these momentum combs in spectroscopy enables super-resolution tomography of key band-structure details in situ. We experimentally tuned the optical-driver frequency by a full octave and show that the predicted super-resolution manifests in a critical intensity and frequency dependence of HSBs. Our concept offers a practical, all-optical, fully three-dimensional tomography of electronic structure even in microscopically small quantum materials, band by band.

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Drift-diffusion dynamics of a 1D excitonic guide is investigated at room temperature. We demonstrate an unexpected and massive deviation from the Einstein relation and correlate it with the exciton capture processes at defects in tungsten diselenide monolayer.

Theory–experiment advancements are demonstrated to resolve many-body correlations of quantum materials at attosecond time scales. Our theoretical analysis provides an exact view into the microscopic many-body dynamics presented intuitively via a Wigner-function analysis.