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  • Letter
  • Open Access

Thouless pumping and trapping of two-component gap solitons

Hao Lyu1,*, Yongping Zhang2,†, and Thomas Busch1,‡

  • *Contact author: hao.lyu@oist.jp
  • †Contact author: yongping11@t.shu.edu.cn
  • ‡Contact author: thomas.busch@oist.jp
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Phys. Rev. Research 6, L042010 – Published 9 October, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042010

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 behaviors: solitons with a larger width get transported, while solitons with a smaller width get trapped. Since these widths can be controlled by tuning interactions, it should be possible to observe all behaviors experimentally.

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References (57)

  1. D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized Hall conductance in a two-dimensional periodic potential, Phys. Rev. Lett. 49, 405 (1982).
  2. D. J. Thouless, Quantization of particle transport, Phys. Rev. B 27, 6083 (1983).
  3. R. Citro and M. Aidelsburger, Thouless pumping and topology, Nat. Rev. Phys. 5, 87 (2023).
  4. M. Switkes, C. M. Marcus, K. Campman, and A. C. Gossard, An adiabatic quantum electron pump, Science 283, 1905 (1999).
  5. M. Lohse, C. Schweizer, O. Zilberberg, M. Aidelsburger, and I. Bloch, A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice, Nat. Phys. 12, 350 (2016).
  6. S. Nakajima, T. Tomita, S. Taie, T. Ichinose, H. Ozawa, L. Wang, M. Troyer, and Y. Takahashi, Topological Thouless pumping of ultracold fermions, Nat. Phys. 12, 296 (2016).
  7. C. Schweizer, M. Lohse, R. Citro, and I. Bloch, Spin pumping and measurement of spin currents in optical superlattices, Phys. Rev. Lett. 117, 170405 (2016).
  8. J. Minguzzi, Z. Zhu, K. Sandholzer, A.-S. Walter, K. Viebahn, and T. Esslinger, Topological pumping in a Floquet-Bloch band, Phys. Rev. Lett. 129, 053201 (2022).
  9. Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Topological states and adiabatic pumping in quasicrystals, Phys. Rev. Lett. 109, 106402 (2012).
  10. O. Zilberberg, S. Huang, J. Guglielmon, M. Wang, K. P. Chen, Y. E. Kraus, and M. C. Rechtsman, Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms, Nature (London) 553, 59 (2018).
  11. Y. Xia, E. Riva, M. I. N. Rosa, G. Cazzulani, A. Erturk, F. Braghin, and M. Ruzzene, Experimental observation of temporal pumping in electromechanical waveguides, Phys. Rev. Lett. 126, 095501 (2021).
  12. J. Li, C. Shen, T. J. Huang, and S. A. Cummer, Acoustic tweezer with complex boundary-free trapping and transport channel controlled by shadow waveguides, Sci. Adv. 7, eabi5502 (2021).
  13. S. Nakajima, N. Takei, K. Sakuma, Y. Kuno, P. Marra, and Y. Takahashi, Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms, Nat. Phys. 17, 844 (2021).
  14. M. Lohse, C. Schweizer, H. M. Price, O. Zilberberg, and I. Bloch, Exploring 4D quantum Hall physics with a 2D topological charge pump, Nature (London) 553, 55 (2018).
  15. N. R. Cooper, J. Dalibard, and I. B. Spielman, Topological bands for ultracold atoms, Rev. Mod. Phys. 91, 015005 (2019).
  16. J. Tangpanitanon, V. M. Bastidas, S. Al-Assam, P. Roushan, D. Jaksch, and D. G. Angelakis, Topological pumping of photons in nonlinear resonator arrays, Phys. Rev. Lett. 117, 213603 (2016).
  17. T. Haug, L.-C. Dumke, Rainerand Kwek and L. Amico, Topological pumping in Aharonov–Bohm rings, Commun. Phys. 2, 127 (2019).
  18. X.-W. Luo, J. Zhang, and C. Zhang, Tunable flux through a synthetic Hall tube of neutral fermions, Phys. Rev. A 102, 063327 (2020).
  19. 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).
  20. Y. Kuno and Y. Hatsugai, Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model, Phys. Rev. B 104, 125146 (2021).
  21. Y.-P. Wu, L.-Z. Tang, G.-Q. Zhang, and D.-W. Zhang, Quantized topological Anderson-Thouless pump, Phys. Rev. A 106, L051301 (2022).
  22. Z. Zhu, M. Gächter, A.-S. Walter, K. Viebahn, and T. Esslinger, Reversal of quantized Hall drifts at noninteracting and interacting topological boundaries, Science 384, 317 (2024).
  23. T. Qin, A. Schnell, K. Sengstock, C. Weitenberg, A. Eckardt, and W. Hofstetter, Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices, Phys. Rev. A 98, 033601 (2018).
  24. M. Nakagawa, T. Yoshida, R. Peters, and N. Kawakami, Breakdown of topological Thouless pumping in the strongly interacting regime, Phys. Rev. B 98, 115147 (2018).
  25. A. Hayward, C. Schweizer, M. Lohse, M. Aidelsburger, and F. Heidrich-Meisner, Topological charge pumping in the interacting bosonic Rice-Mele model, Phys. Rev. B 98, 245148 (2018).
  26. A.-S. Walter, Z. Zhu, M. Gächter, J. Minguzzi, S. Roschinski, K. Sandholzer, K. Viebahn, and T. Esslinger, Quantization and its breakdown in a Hubbard–Thouless pump, Nat. Phys. 19, 1471 (2023).
  27. M. Nakagawa and S. Furukawa, Bosonic integer quantum Hall effect as topological pumping, Phys. Rev. B 95, 165116 (2017).
  28. L. Stenzel, A. L. C. Hayward, C. Hubig, U. Schollwöck, and F. Heidrich-Meisner, Quantum phases and topological properties of interacting fermions in one-dimensional superlattices, Phys. Rev. A 99, 053614 (2019).
  29. B. A. van Voorden and K. Schoutens, Topological quantum pump of strongly interacting fermions in coupled chains, New J. Phys. 21, 013026 (2019).
  30. L. Stenzel, A. L. C. Hayward, U. Schollwöck, and F. Heidrich-Meisner, Topological phases in the Fermi-Hofstadter-Hubbard model on hybrid-space ladders, Phys. Rev. A 102, 023315 (2020).
  31. Y. Kuno and Y. Hatsugai, Interaction-induced topological charge pump, Phys. Rev. Res. 2, 042024(R) (2020).
  32. D. González-Cuadra, A. Bermudez, P. R. Grzybowski, M. Lewenstein, and A. Dauphin, Intertwined topological phases induced by emergent symmetry protection, Nat. Commun. 10, 2694 (2019).
  33. K. Viebahn, A.-S. Walter, E. Bertok, Z. Zhu, M. Gächter, A. A. Aligia, F. Heidrich-Meisner, and T. Esslinger, Interactions enable Thouless pumping in a nonsliding lattice, Phys. Rev. X 14, 021049 (2024).
  34. 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).
  35. L. Taddia, E. Cornfeld, D. Rossini, L. Mazza, E. Sela, and R. Fazio, Topological fractional pumping with alkaline-earth-like atoms in synthetic lattices, Phys. Rev. Lett. 118, 230402 (2017).
  36. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Discrete solitons in optics, Phys. Rep. 463, 1 (2008).
  37. Y. V. Kartashov, B. A. Malomed, and L. Torner, Solitons in nonlinear lattices, Rev. Mod. Phys. 83, 247 (2011).
  38. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug, and J. E. Sipe, Bragg grating solitons, Phys. Rev. Lett. 76, 1627 (1996).
  39. B. Eiermann, T. Anker, M. Albiez, M. Taglieber, P. Treutlein, K.-P. Marzlin, and M. K. Oberthaler, Bright Bose-Einstein gap solitons of atoms with repulsive interaction, Phys. Rev. Lett. 92, 230401 (2004).
  40. Y. Pan, M.-I. Cohen, and M. Segev, Superluminal k-gap solitons in nonlinear photonic time crystals, Phys. Rev. Lett. 130, 233801 (2023).
  41. M. Jürgensen, S. Mukherjee, and M. C. Rechtsman, Quantized nonlinear Thouless pumping, Nature (London) 596, 63 (2021).
  42. M. Jürgensen and M. C. Rechtsman, Chern number governs soliton motion in nonlinear Thouless pumps, Phys. Rev. Lett. 128, 113901 (2022).
  43. N. Mostaan, F. Grusdt, and N. Goldman, Quantized topological pumping of solitons in nonlinear photonics and ultracold atomic mixtures, Nat. Commun. 13, 5997 (2022).
  44. Q. Fu, P. Wang, Y. V. Kartashov, V. V. Konotop, and F. Ye, Nonlinear Thouless pumping: solitons and transport breakdown, Phys. Rev. Lett. 128, 154101 (2022).
  45. Q. Fu, P. Wang, Y. V. Kartashov, V. V. Konotop, and F. Ye, Two-dimensional nonlinear Thouless pumping of matter waves, Phys. Rev. Lett. 129, 183901 (2022).
  46. M. Jürgensen, S. Mukherjee, C. Jörg, and M. C. Rechtsman, Quantized fractional Thouless pumping of solitons, Nat. Phys. 19, 420 (2023).
  47. P. G. Kevrekidis, D. J.Frantzeskakis, and R. Carretero- González (eds.), Emergent Nonlinear Phenomena in Bose-Einstein Condensates (Springer-Verlag, Berlin, 2008)
  48. M. Mitchell, A. Di Carli, G. Sinuco-León, A. La Rooij, S. Kuhr, and E. Haller, Floquet solitons and dynamics of periodically driven matter waves with negative effective mass, Phys. Rev. Lett. 127, 243603 (2021).
  49. J. Sanz, A. Frölian, C. S. Chisholm, C. R. Cabrera, and L. Tarruell, Interaction control and bright solitons in coherently coupled Bose-Einstein condensates, Phys. Rev. Lett. 128, 013201 (2022).
  50. 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).
  51. 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).
  52. S. K. Adhikari and B. A. Malomed, Symbiotic gap and semigap solitons in Bose-Einstein condensates, Phys. Rev. A 77, 023607 (2008).
  53. A. Farolfi, D. Trypogeorgos, C. Mordini, G. Lamporesi, and G. Ferrari, Observation of magnetic solitons in two-component Bose-Einstein condensates, Phys. Rev. Lett. 125, 030401 (2020).
  54. S. Bresolin, A. Roy, G. Ferrari, A. Recati, and N. Pavloff, Oscillating solitons and ac Josephson effect in ferromagnetic bose-bose mixtures, Phys. Rev. Lett. 130, 220403 (2023).
  55. Y. Zhang, Z. Liang, and B. Wu, Gap solitons and Bloch waves in nonlinear periodic systems, Phys. Rev. A 80, 063815 (2009).
  56. A. Trombettoni and A. Smerzi, Discrete solitons and breathers with dilute Bose-Einstein condensates, Phys. Rev. Lett. 86, 2353 (2001).
  57. 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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Phys. Rev. Research 6, L042010– Published 9 October, 2024
  • Received 24 April 2024
  • Accepted 17 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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