Quantized pumping in disordered nonlinear Thouless pumps

2025/12/12 by Chaudhari, Abhijit P., Jürgensen, Marius, Rechtsman, Mikael C.
Physics and Astronomy · #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Advanced Fiber Laser Technologies

paper · doi:10.48550/arxiv.2512.11394

Abstract

We investigate the dynamics of nonlinear optical Thouless pumps in the presence of disorder, using optical waveguide arrays. It was previously known that the displacement of solitons in Thouless pumps is quantized and may exhibit integer and fractional transport over the course of the pump cycle. Here, we demonstrate that, in disordered nonlinear pumps, quantization may be maintained despite the presence of disorder, even though it would not be in the linear domain. Moreover, nonlinearity allows pumps to be executed more quickly (i.e., less adiabatically). This may serve as a design principle for integrated non-reciprocal devices based on temporal modulation.

Citations

• Protected quantum gates using qubit doublons in dynamical optical lattices
• Quantum theory of fractional topological pumping of lattice solitons
• Quantized dynamical pumping via dissipation in a mechanical Thouless pump
• Nonlinearity-induced Thouless pumping of solitons

Related

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• Absence of disordered Thouless pumps at finite frequency
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