Thouless pumping and trapping of two-component gap solitons

Abstract

We study Thouless pumping and arresting of gap solitons in a two-component Bose gas loaded into an optical superlattice. We show that, depending on the atomic interactions and chemical potentials, the two solitons can be simultaneously pumped or trapped, but we also identify regimes where one soliton is pumped and the other arrested. These behaviors can be understood by considering an effective model of the system based on a variational approach, which reveals that the soliton width is a suitable qualifier for the observed behaviours: solitons with a larger width get transported, while solitons with a smaller width get trapped. Since these width can be controlled by tuning interactions, it should be possible to observe all behaviours experimentally.

7 pages, 3 figures

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Cited by in corpus (7)

• Nonlinearity-induced Fractional Thouless Pumping of Solitons
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Quantum theory of fractional topological pumping of lattice solitons
• Quantized transport of solitons in Bose-Einstein condensates driven by spin-orbit coupling
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Quantized transport of two-dimensional multifrequency solitons