TY - JOUR
T1 - Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
AU - Jürgensen, Marius
AU - Rechtsman, Mikael C.
N1 - Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/3/18
Y1 - 2022/3/18
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.128.113901
DO - 10.1103/PhysRevLett.128.113901
M3 - Article
C2 - 35363022
AN - SCOPUS:85126973550
SN - 0031-9007
VL - 128
JO - Physical review letters
JF - Physical review letters
IS - 11
M1 - 113901
ER -