Thouless pumping is a transport phenomenon whereby an insulating, time-periodic Hamiltonian induces a robustly quantized transfer of charge, per driving cycle, in the quasiadiabatic limit. In this work, we apply the shortcuts to adiabaticity method of counterdiabatic (CD) driving to the Rice-Mele model, an archetypal model for Thouless pumping. We show that the charge pumped rapidly across each bond of our CD Rice-Mele model is robustly quantized and determined by a Chern number. The CD Hamiltonian generally involves long-range, hence nonlocal, hopping. Therefore we also derive an exact, local, nearest-neighbor CD Hamiltonian for our lattice system. We show that our nearest-neighbor nonadiabatic protocol possesses the same topological robustness to on-site disorder as quasiadiabatic Thouless pumps and is moreover surprisingly robust to on-site disorder and noise errors in implementing the CD protocol for sufficiently rapid driving. The protocol also reproduces finite-temperature Thouless pump results away from the adiabatic limit. In addition, we develop a general method to produce nontrivial, finite-time quantized pumping starting from any Rice-Mele initial ground state using only nearest-neighbor hopping.

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• Geometric & topological phases
• Quantum control
• Quantum protocols
• Quantum transport