Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.
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Exact analytical edge states are derived for the extended SSH model, with bulk-boundary correspondence established via winding number and |z|=1 condition at gap closings.
Spatially modulated Dirac-delta lattices generate Hofstadter-like spectra and enable adiabatic control of topological transport characterized by non-trivial Chern numbers.
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.
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Floquet engineering of tight-binding Hamiltonians in momentum space lattices
Floquet engineering via quantum resonances in periodically driven rotors enables analytical control of tight-binding parameters in momentum-space lattices, experimentally realized with a Bose-Einstein condensate to simulate the Rice-Mele model and related configurations.
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Exact analytical edge states in the extended Su-Schrieffer-Heeger model
Exact analytical edge states are derived for the extended SSH model, with bulk-boundary correspondence established via winding number and |z|=1 condition at gap closings.
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Emergent topological properties in spatially modulated sub-wavelength barrier lattices
Spatially modulated Dirac-delta lattices generate Hofstadter-like spectra and enable adiabatic control of topological transport characterized by non-trivial Chern numbers.
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Exploring topological phases with extended Su-Schrieffer-Heeger models
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.