Anomalous topological pumping in hyperbolic lattices (IMAGE)
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Two-dimensional hyperbolic topological pumping can emulate eight-dimensional quantum Hall physics, transcending conventional dimensional constraints. Furthermore, hyperbolic pumping trajectories are governed by a synergy of 1st to 4th Chern numbers and periodic boundary condition configurations. Remarkably, specific PBCs trigger a periodic topological oscillation, where quantized transport collapses into time-recurrent cycles. Experimentally, time-modulated hyperbolic circuits validate both high-dimensional quantum Hall signatures and PBC-dependent topological dynamics.
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