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Observables in Motion: A guide to simulating classical and quantum dynamics
Denys I. Bondar, Gerard McCaul, Andrii Sotnikov
We present a pedagogical work-in-progress. This textbook aims to introduce Hilbert space representations for quantum and classical dynamics, outlining the mathematical foundations,…
Dispersion Relations in Two- and Three-Dimensional Quantum Systems
Valeriia Bilokon, Elvira Bilokon, Illya Lukin +2
Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient t…
Bose-Einstein condensate sub-wavelength confinement via superoscillations
Dusty R. Lindberg, Gerard McCaul, Peisong Peng +3
Optical lattices are essential tools in ultra-cold atomic physics. Here we demonstrate theoretically that sub-wavelength confinement can be achieved in these lattices through super…