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Quantum simulations in condensed-matter: Sierpinski, Lieb, and graphene
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Quantum simulations with ultracold atoms in optical lattices
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Thermodynamics of topological insulators
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Quantum Electrodynamics of low-dimensional systems
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Out of equilibrium systems: Floquet theory for ultracold-atoms and condensed-matter systems
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Higher-bands topological superconductors and superfluids