An ideal rapid-cycle Thouless pump

Abstract

Thouless pumping is a fundamental instance of quantized transport, which is topologically protected. Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications. Here, focusing on the Rice-Mele model, we provide a family of finite-frequency examples that ensure both the absence of excitations and the perfect quantization of the pumped charge at the end of each cycle. This family, which contains an adiabatic protocol as a limiting case, is obtained through a mapping onto the zero curvature representation of the Euclidean sinh-Gordon equation.

20 pages, 5 figures, Submission to SciPost

References in corpus (5)

• Topological characterization of periodically-driven quantum systems
• Adiabatic pumping through interacting quantum dots
• The stochastic pump current and the non-adiabatic geometrical phase
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Rapid-cycle Thouless pumping in a one-dimensional optical lattice

Cited by in corpus (5)

• Biorthogonal topological charge pumping in non-Hermitian systems
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Absence of disordered Thouless pumps at finite frequency
• A spectrum-based shortcut method for topological systems
• Topological anomalous Floquet photon pump