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.
- D. J. Thouless, Quantization of particle transport, Phys. Rev. B 27, 6083 (1983).
- R. Citro and M. Aidelsburger, Thouless pumping and topology, Nat. Phys. Rev. 5, 87 (2023).
- N. R. Cooper, J. Dalibard, and I. B. Spielman, Topological bands for ultracold atoms, Rev. Mod. Phys. 91, 015005 (2019).
- X.-W. Luo, J. Zhang, and C. Zhang, Tunable flux through a synthetic hall tube of neutral fermions, Phys. Rev. A 102, 063327 (2020).
- L. Wawer, R. Li, and M. Fleischhauer, Quantized transport induced by topology transfer between coupled one-dimensional lattice systems, Phys. Rev. A 104, 012209 (2021).
- Y. Kuno and Y. Hatsugai, Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model, Phys. Rev. B 104, 125146 (2021).
- M. Nakagawa and S. Furukawa, Bosonic integer quantum Hall effect as topological pumping, Phys. Rev. B 95, 165116 (2017).
- B. A. van Voorden and K. Schoutens, Topological quantum pump of strongly interacting fermions in coupled chains, New J. Phys. 21, 013026 (2019).
- Y. Kuno and Y. Hatsugai, Interaction-induced topological charge pump, Phys. Rev. Res. 2, 042024 (2020).
- T.-S. Zeng, W. Zhu, and D. N. Sheng, Fractional charge pumping of interacting bosons in one-dimensional superlattice, Phys. Rev. B 94, 235139 (2016).
- Y. V. Kartashov, B. A. Malomed, and L. Torner, Solitons in nonlinear lattices, Rev. Mod. Phys. 83, 247 (2011).
- Y. Pan, M.-I. Cohen, and M. Segev, Superluminal k𝑘kitalic_k-Gap Solitons in Nonlinear Photonic Time Crystals, Phys. Rev. Lett. 130, 233801 (2023).
- M. Jürgensen, S. Mukherjee, and M. C. Rechtsman, Quantized nonlinear Thouless pumping, Nature (London) 596, 63 (2021).
- M. Jürgensen and M. C. Rechtsman, Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps, Phys. Rev. Lett. 128, 113901 (2022).
- N. Mostaan, F. Grusdt, and N. Goldman, Quantized topological pumping of solitons in nonlinear photonics and ultracold atomic mixtures, Nat. Commun. 13, 5997 (2022).
- P. G. Kevrekidis, D. J.Frantzeskakis, and R. Carretero-González, eds., Emergent Nonlinear Phenomena in Bose-Einstein Condensates (Springer-Verlag, Berlin, 2008).
- Y. Zhang, Y. Xu, and T. Busch, Gap solitons in spin-orbit-coupled bose-einstein condensates in optical lattices, Phys. Rev. A 91, 043629 (2015).
- A. Gubeskys, B. A. Malomed, and I. M. Merhasin, Two-component gap solitons in two- and one-dimensional Bose-Einstein condensates, Phys. Rev. A 73, 023607 (2006).
- S. K. Adhikari and B. A. Malomed, Symbiotic gap and semigap solitons in Bose-Einstein condensates, Phys. Rev. A 77, 023607 (2008).
- Y. Zhang, Z. Liang, and B. Wu, Gap solitons and Bloch waves in nonlinear periodic systems, Phys. Rev. A 80, 063815 (2009).
- R. Navarro, R. Carretero-González, and P. G. Kevrekidis, Phase separation and dynamics of two-component Bose-Einstein condensates, Phys. Rev. A 80, 023613 (2009).
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