Dynamical frustration in parametrically driven space-time metamaterials produces topologically protected unidirectional phase dislocations that self-organize into synchronized defects in 2D.
Hofstadter, Phys
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Memory effects from different scattering mechanisms in 2D systems appear as distinct features in the NEGF spectral function, proposed as a steady-state diagnostic for non-Markovian behavior.
Spectral butterflies form in parameter-dependent Schrödinger operators on weighted Delone sets and reflect fractal self-similar structures, with the framework extending across dimensions and to non-Abelian groups.
Exciton polaritons in microcavities form synthetic photonic crystals with engineered band structures and interactions for exploring many-body physics from mean-field to quantum regimes.
Review of proposals and experiments using coupled cavity arrays and superconducting circuits to realize many-body physics with photons, including Mott transitions, fractional quantum Hall states, and dissipative phase transitions.
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