Nonlinear Thouless Pumping of Solitons Across an Impurity

Abstract

The nonlinear Thouless pumping is an exciting frontier of topological physics. While recent works have revealed the quantized motion of solitons in Thouless pumps, the interplay between the topology, nonlinearity and disorder remains largely unexplored. Here, we investigate the nonlinear Thouless pumping of solitons in the presence of an impurity in the context of a Bose-Einstein condensate. Using both the Gross-Pitaevskii equation and Lagrangian variational approach, we analyze the interaction between a moving soliton and an impurity. Without the pump, the soliton can pass through a light impurity, but gets trapped by the impurity with large mass. In marked contrast, we find the soliton in Thouless pumps can always transit through the impurity, and its motion is topologically quantized. Our result explicitly showcases the robustness of topological soliton pumping against microscopic imperfections, and opens a new perspective in the information processing with solitons.

9 pages, 5 figures

References in corpus (22)

• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Dipolar physics: A review of experiments with magnetic quantum gases
• Thouless pumping and topology
• Quantized Nonlinear Thouless Pumping
• Quantized Fractional Thouless Pumping of Solitons
• Nonlinear Thouless pumping: solitons and transport breakdown
• Chirality of topological gap solitons in bosonic dimer chains
• Nano-Scale `Dark State' Optical Potentials for Cold Atoms
• Topological pumping of photons in nonlinear resonator arrays
• Realization of Fractional Chern Insulators in the Thin-Torus-Limit with Ultracold Bosons
• The Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
• Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
• Two-dimensional Thouless pumping of light in photonic moiré lattices
• Quantized pumping and phase diagram topology of interacting bosons
• Simulating Chern insulators on a superconducting quantum processor
• Two-dimensional nonlinear Thouless pumping of matter waves
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Breakdown of quantization in nonlinear Thouless pumping
• Topological Thouless pumping in arrays of coupled spin chains
• Interaction between an impurity and nonlinear excitations in a polariton condensate

Cited by in corpus (7)

• Thouless pumping in a driven-dissipative Kerr resonator array
• Nonlinearity-induced Fractional Thouless Pumping of Solitons
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping