Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps

Marius Jürgensen, Mikael C. Rechtsman

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this quantization, as well as its relationship to the Chern number, has thus far been lacking. Here we show that, for low-power solitons, transport is dictated by the Chern number of the band from which the soliton bifurcates. We do this by expanding the discrete nonlinear Schrödinger equation (equivalently, the Gross-Pitaevskii equation) in the basis of Wannier states, showing that a soliton's position is dictated by that of the Wannier state throughout the pump cycle. Furthermore, we describe soliton pumping in two dimensions.

Original languageEnglish (US)
Article number113901
JournalPhysical review letters
Volume128
Issue number11
DOIs
StatePublished - Mar 18 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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