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  • Letter
  • Open Access

Drag-induced dynamical formation of dark solitons in Bose mixture on a ring

Andrzej Syrwid*, Emil Blomquist, and Egor Babaev

  • Department of Physics, KTH Royal Institute of Technology, Stockholm 10691, Sweden

  • *syrwid@kth.se

Phys. Rev. Research 4, L042003 – Published 4 October, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L042003

Abstract

Andreev-Bashkin drag plays a very important role in multiple areas such as superfluid mixtures, superconductors, and dense nuclear matter. Here we point out that the drag phenomenon can be also important in the physics of solitons, ubiquitous objects arising in a wide array of fields ranging from tsunami waves and fiber-optic communication to biological systems. So far, fruitful studies have been conducted in ultracold atomic systems where nontrivial soliton dynamics occurred due to intercomponent density-density interaction. In this work we show that current-current coupling between components (Andreev-Bashkin drag) can lead to a substantially different kind of effect, unsupported by density-density interactions, such as a drag-induced dark soliton generation. This also points out that soliton dynamics can be used as a tool to experimentally study the dissipationless drag effect.

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References (107)

  1. A. Hasegawa, Optical Solitons in Fibers (Springer, Berlin, 1989).
  2. T. Dauxois and M. Peyrard, Physics of Solitons (Cambridge University Press, Cambridge, 2006).
  3. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, San Diego, 2003).
  4. R. H. J. Grimshaw, Solitary Waves in Fluids (WIT, Southampton, 2007).
  5. A. Hasegawa, Optical solitons in fibers for communication systems, Opt. Photon. News 13, 33 (2002).
  6. K. L. Henderson, D. H. Peregrine, and J. W. Dold, Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation, Wave Motion 29, 341 (1999).
  7. B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, and J. M. Dudley, The Peregrine soliton in nonlinear fibre optics, Nat. Phys. 6, 790 (2010).
  8. H. Bailung, S. K. Sharma, and Y. Nakamura, Observation of Peregrine Solitons in a Multicomponent Plasma with Negative Ions, Phys. Rev. Lett. 107, 255005 (2011).
  9. A. Chabchoub, T. Waseda, M. Klein, S. Trillo, and M. Onorato, Phase-suppressed hydrodynamics of solitons on constant-background plane wave, Phys. Rev. Fluids 5, 114801 (2020).
  10. L. Pitaevskii and S. Stringari, Bose–Einstein Condensation and Superfluidity (Oxford University Press, Croydon, 2016).
  11. C. J. Pethick and H. Smith, Bose–Einstein Condensation in Dilute Gases, 2nd ed. (Cambridge University Press, Cambridge, 2008).
  12. B. V. Svistunov, E. S. Babaev, and N. V. Prokof'ev, Superfluid States of Matter (CRC, Boca Raton, 2015).
  13. J. Denschlag, J. E. Simsarian, D. L. Feder, C. W. Clark, L. A. Collins, J. Cubizolles, L. Deng, E. W. Hagley, K. Helmerson, W. P. Reinhardt, S. L. Rolston, B. I. Schneider, and W. D. Phillips, Generating solitons by phase engineering of a Bose-Einstein condensate, Science 287, 97 (2000).
  14. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Formation and propagation of matter-wave, soliton trains, Nature (London) 417, 150 (2002).
  15. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Formation of a matter-wave bright soliton, Science 296, 1290 (2002).
  16. C. Becker, S. Stellmer, P. Soltan-Panahi, S. Dörscher, M. Baumert, E.-M. Richter, J. Kronjäger, K. Bongs, and K. Sengstock, Oscillations and interactions of dark and dark–bright solitons in Bose–Einstein condensates, Nat. Phys. 4, 496 (2008).
  17. S. Stellmer, C. Becker, P. Soltan-Panahi, E.-M. Richter, S. Dörscher, M. Baumert, J. Kronjäger, K. Bongs, and K. Sengstock, Collisions of Dark Solitons in Elongated Bose-Einstein Condensates, Phys. Rev. Lett. 101, 120406 (2008).
  18. A. Weller, J. P. Ronzheimer, C. Gross, J. Esteve, M. K. Oberthaler, D. J. Frantzeskakis, G. Theocharis, and P. G. Kevrekidis, Experimental Observation of Oscillating and Interacting Matter Wave Dark Solitons, Phys. Rev. Lett. 101, 130401 (2008).
  19. G. Theocharis, A. Weller, J. P. Ronzheimer, C. Gross, M. K. Oberthaler, P. G. Kevrekidis, and D. J. Frantzeskakis, Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates, Phys. Rev. A 81, 063604 (2010).
  20. K. Gawryluk, M. Brewczyk, M. Gajda, and J. Mostowski, Formation of soliton trains in Bose–Einstein condensates by temporal Talbot effect, J. Phys. B 39, L1 (2006).
  21. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Dark Solitons in Bose-Einstein Condensates, Phys. Rev. Lett. 83, 5198 (1999).
  22. L. D. Carr, J. Brand, S. Burger, and A. Sanpera, Dark-soliton creation in Bose-Einstein condensates, Phys. Rev. A 63, 051601(R) (2001).
  23. D. K. Efimkin, J. Hofmann, and V. Galitski, Non-Markovian Quantum Friction of Bright Solitons in Superfluids, Phys. Rev. Lett. 116, 225301 (2016).
  24. J. H. V. Nguyen, P. Dyke, D. Luo, B. A. Malomed, and R. G. Hulet, Collisions of matter-wave solitons, Nat. Phys. 10, 918 (2014).
  25. L. M. Aycock, H. M. Hurst, D. K. Efimkin, D. Genkina, H.-I. Lu, V. M. Galitski, and I. B. Spielman, Brownian motion of solitons in a Bose–Einstein condensate, Proc. Natl. Acad. Sci. USA 114, 2503 (2017).
  26. A. R. Fritsch, M. Lu, G. H. Reid, A. M. Piñeiro, and I. B. Spielman, Creating solitons with controllable and near-zero velocity in Bose-Einstein condensates, Phys. Rev. A 101, 053629 (2020).
  27. H. M. Hurst, D. K. Efimkin, I. B. Spielman, and V. Galitski, Kinetic theory of dark solitons with tunable friction, Phys. Rev. A 95, 053604 (2017).
  28. T. Karpiuk, M. Brewczyk, and K. Rzazewski, Solitons and vortices in ultracold fermionic gases, J. Phys. B 35, L315 (2002).
  29. J. Dziarmaga and K. Sacha, Soliton in BCS superfluid Fermi gas, arXiv:cond-mat/0407585.
  30. M. Antezza, F. Dalfovo, L. P. Pitaevskii, and S. Stringari, Dark solitons in a superfluid Fermi gas, Phys. Rev. A 76, 043610 (2007).
  31. K. Sacha and D. Delande, Proper phase imprinting method for a dark soliton excitation in a superfluid Fermi mixture, Phys. Rev. A 90, 021604(R) (2014).
  32. D. K. Efimkin and V. Galitski, Moving solitons in a one-dimensional fermionic superfluid, Phys. Rev. A 91, 023616 (2015).
  33. L. Onsager, Statistical hydrodynamics, Nuovo Cimento 6, 279 (1949).
  34. A. F. Andreev and E. P. Bashkin, Three-velocity hydrodynamics of superfluid solutions, Sov. Phys. JETP 42, 164 (1975).
  35. E. K. Dahl, E. Babaev, and A. Sudbø, Hidden vortex lattices in a thermally paired superfluid, Phys. Rev. B 78, 144510 (2008).
  36. E. K. Dahl, E. Babaev, and A. Sudbø, Unusual States of Vortex Matter in Mixtures of Bose-Einstein Condensates on Rotating Optical Lattices, Phys. Rev. Lett. 101, 255301 (2008).
  37. F. N. Rybakov, J. Garaud, and E. Babaev, Stable Hopf-Skyrme topological excitations in the superconducting state, Phys. Rev. B 100, 094515 (2019).
  38. O. Sjöberg, On the Landau effective mass in asymmetric nuclear matter, Nucl. Phys. A 265, 511 (1976).
  39. N. Chamel, Two-fluid models of superfluid neutron star cores, Mon. Not. R. Astron. Soc. 388, 737 (2008).
  40. M. A. Alpar, S. A. Langer, and J. A. Sauls, Rapid postglitch spin-up of the superfluid core in pulsars, Astrophys. J. 282, 533 (1984).
  41. M. G. Alford and G. Good, Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid, Phys. Rev. B 78, 024510 (2008).
  42. E. Babaev, Unconventional Rotational Responses of Hadronic Superfluids in a Neutron Star Caused by Strong Entrainment and a Σ− Hyperon Gap, Phys. Rev. Lett. 103, 231101 (2009).
  43. D. V. Fil and S. I. Shevchenko, Nondissipative drag of superflow in a two-component Bose gas, Phys. Rev. A 72, 013616 (2005).
  44. J. Linder and A. Sudbø, Calculation of drag and superfluid velocity from the microscopic parameters and excitation energies of a two-component Bose-Einstein condensate in an optical lattice, Phys. Rev. A 79, 063610 (2009).
  45. P. P. Hofer, C. Bruder, and V. M. Stojanović, Superfluid drag of two-species Bose-Einstein condensates in optical lattices, Phys. Rev. A 86, 033627 (2012).
  46. S. Hartman, E. Erlandsen, and A. Sudbø, Superfluid drag in multicomponent Bose-Einstein condensates on a square optical lattice, Phys. Rev. B 98, 024512 (2018).
  47. V. E. Colussi, F. Caleffi, C. Menotti, and A. Recati, Quantum Gutzwiller approach for the two-component Bose-Hubbard model, SciPost Phys. 12, 111 (2022).
  48. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature (London) 415, 39 (2002).
  49. I. Bloch, Ultracold quantum gases in optical lattices, Nat. Phys. 1, 23 (2005).
  50. A. B. Kuklov and B. V. Svistunov, Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice, Phys. Rev. Lett. 90, 100401 (2003).
  51. A. Kuklov, N. Prokof'ev, and B. Svistunov, Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram, Phys. Rev. Lett. 92, 050402 (2004).
  52. A. Kuklov, N. Prokof'ev, and B. Svistunov, Superfluid-Superfluid Phase Transitions in a Two-Component Bose-Einstein Condensate, Phys. Rev. Lett. 92, 030403 (2004).
  53. B. Capogrosso-Sansone, Ş. G. Söyler, N. Prokof'ev, and B. Svistunov, Monte Carlo study of the two-dimensional Bose-Hubbard model, Phys. Rev. A 77, 015602 (2008).
  54. E. K. Dahl, E. Babaev, S. Kragset, and A. Sudbø, Preemptive vortex-loop proliferation in multicomponent interacting Bose-Einstein condensates, Phys. Rev. B 77, 144519 (2008).
  55. B. Capogrosso-Sansone and A. B. Kuklov, Superfluidity of flexible chains of polar molecules, J. Low Temp. Phys. 165, 213 (2011).
  56. K. Sellin and E. Babaev, Superfluid drag in the two-component Bose-Hubbard model, Phys. Rev. B 97, 094517 (2018).
  57. E. Blomquist, A. Syrwid, and E. Babaev, Borromean Supercounterfluidity, Phys. Rev. Lett. 127, 255303 (2021).
  58. D. Contessi, D. Romito, M. Rizzi, and A. Recati, Collisionless drag for a one-dimensional two-component Bose-Hubbard model, Phys. Rev. Res. 3, L022017 (2021).
  59. J. Nespolo, G. E. Astrakharchik, and A. Recati, Andreev–Bashkin effect in superfluid cold gases mixtures, New J. Phys. 19, 125005 (2017).
  60. M. Pylak, F. Gampel, M. Płodzień, and M. Gajda, Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets, Phys. Rev. Res. 4, 013168 (2022).
  61. A. Syrwid, E. Blomquist, and E. Babaev, Dissipationless Vector Drag—Superfluid Spin Hall Effect, Phys. Rev. Lett. 127, 100403 (2021).
  62. P. Öhberg and L. Santos, Dark Solitons in a Two-Component Bose-Einstein Condensate, Phys. Rev. Lett. 86, 2918 (2001).
  63. T. Busch and J. R. Anglin, Dark-Bright Solitons in Inhomogeneous Bose-Einstein Condensates, Phys. Rev. Lett. 87, 010401 (2001).
  64. T. Karpiuk, M. Brewczyk, S. Ospelkaus-Schwarzer, K. Bongs, M. Gajda, and K. Rzążewski, Soliton Trains in Bose-Fermi Mixtures, Phys. Rev. Lett. 93, 100401 (2004).
  65. P. G. Kevrekidis, H. E. Nistazakis, D. J. Frantzeskakis, B. A. Malomed, and R. Carretero-González, Families of matter-waves in two-component Bose-Einstein condensates, Eur. Phys. J. D 28, 181 (2004).
  66. V. A. Brazhnyi and V. V. Konotop, Stable and unstable vector dark solitons of coupled nonlinear Schrödinger equations: Application to two-component Bose-Einstein condensates, Phys. Rev. E 72, 026616 (2005).
  67. 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).
  68. T. Karpiuk, M. Brewczyk, and K. Rzążewski, Bright solitons in Bose-Fermi mixtures, Phys. Rev. A 73, 053602 (2006).
  69. H. Susanto, P. G. Kevrekidis, R. Carretero-González, B. A. Malomed, D. J. Frantzeskakis, and A. R. Bishop, Čerenkov-like radiation in a binary superfluid flow past an obstacle, Phys. Rev. A 75, 055601 (2007).
  70. E. V. Doktorov, J. Wang, and J. Yang, Perturbation theory for bright spinor Bose-Einstein condensate solitons, Phys. Rev. A 77, 043617 (2008).
  71. S. Rajendran, P. Muruganandam, and M. Lakshmanan, Interaction of dark–bright solitons in two-component Bose–Einstein condensates, J. Phys. B 42, 145307 (2009).
  72. A. Niederberger, B. A. Malomed, and M. Lewenstein, Generation of optical and matter-wave solitons in binary systems with a periodically modulated coupling, Phys. Rev. A 82, 043622 (2010).
  73. M. A. Hoefer, J. J. Chang, C. Hamner, and P. Engels, Dark-dark solitons and modulational instability in miscible two-component Bose-Einstein condensates, Phys. Rev. A 84, 041605(R) (2011).
  74. S.-C. Li and F.-Q. Dou, Matter-wave interactions in two-component Bose-Einstein condensates, Europhys. Lett. 111, 30005 (2015).
  75. G. C. Katsimiga, J. Stockhofe, P. G. Kevrekidis, and P. Schmelcher, Dark-bright soliton interactions beyond the integrable limit, Phys. Rev. A 95, 013621 (2017).
  76. 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).
  77. Y. Cheng, R. Gong, and H. Li, Dynamics of two coupled Bose-Einstein Condensate solitons in an optical lattice, Opt. Express 14, 3594 (2006).
  78. C. L. Grimshaw, S. A. Gardiner, and B. A. Malomed, Splitting of two-component solitary waves from collisions with narrow potential barriers, Phys. Rev. A 101, 043623 (2020).
  79. M. Arazo, M. Guilleumas, R. Mayol, and M. Modugno, Dynamical generation of dark-bright solitons through the domain wall of two immiscible Bose-Einstein condensates, Phys. Rev. A 104, 043312 (2021).
  80. A. Cidrim, L. Salasnich, and T. Macrì, Soliton trains after interaction quenches in Bose mixtures, New J. Phys. 23, 023022 (2021).
  81. J. Garaud, K. A. H. Sellin, J. Jäykkä, and E. Babaev, Skyrmions induced by dissipationless drag in U(1)×U(1) superconductors, Phys. Rev. B 89, 104508 (2014).
  82. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L042003 for snapshots of the system dynamics, drag-free evolution of the drag-induced solitonic states, and discussion of the inclusion of the standard density-density interaction and their impact on the long-living dynamically induced dark solitons.
  83. L. D. Carr, C. W. Clark, and W. P. Reinhardt, Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity, Phys. Rev. A 62, 063610 (2000).
  84. L. D. Carr, C. W. Clark, and W. P. Reinhardt, Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity, Phys. Rev. A 62, 063611 (2000).
  85. R. Kanamoto, L. D. Carr, and M. Ueda, Metastable quantum phase transitions in a periodic one-dimensional Bose gas: Mean-field and Bogoliubov analyses, Phys. Rev. A 79, 063616 (2009).
  86. Z. Wu and E. Zaremba, Mean-field yrast spectrum of a two-component Bose gas in ring geometry: Persistent currents at higher angular momentum, Phys. Rev. A 88, 063640 (2013).
  87. A. Syrwid, Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases, J. Phys. B 54, 103001 (2021).
  88. R. Kanamoto, H. Saito, and M. Ueda, Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions, Phys. Rev. A 67, 013608 (2003).
  89. P. P. Kulish, S. V. Manakov, and L. D. Faddeev, Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation, Theor. Math. Phys. 28, 615 (1976).
  90. M. Ishikawa and H. Takayama, Solitons in a one-dimensional Bose system with the repulsive delta-function interaction, J. Phys. Soc. Jpn. 49, 1242 (1980).
  91. R. Kanamoto, L. D. Carr, and M. Ueda, Topological Winding and Unwinding in Metastable Bose-Einstein Condensates, Phys. Rev. Lett. 100, 060401 (2008).
  92. R. Kanamoto, L. D. Carr, and M. Ueda, Metastable quantum phase transitions in a periodic one-dimensional Bose gas. II. Many-body theory, Phys. Rev. A 81, 023625 (2010).
  93. S. Komineas and N. Papanicolaou, Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate, Phys. Rev. Lett. 89, 070402 (2002).
  94. A. D. Jackson and G. M. Kavoulakis, Lieb Mode in a Quasi-One-Dimensional Bose-Einstein Condensate of Atoms, Phys. Rev. Lett. 89, 070403 (2002).
  95. J. Sato, R. Kanamoto, E. Kaminishi, and T. Deguchi, Exact Relaxation Dynamics of a Localized Many-Body State in the 1D Bose Gas, Phys. Rev. Lett. 108, 110401 (2012).
  96. T. Karpiuk, P. Deuar, P. Bienias, E. Witkowska, K. Pawłowski, M. Gajda, K. Rzążewski, and M. Brewczyk, Spontaneous Solitons in the Thermal Equilibrium of a Quasi-1D Bose Gas, Phys. Rev. Lett. 109, 205302 (2012).
  97. T. Karpiuk, T. Sowiński, M. Gajda, K. Rzążewski, and M. Brewczyk, Correspondence between dark solitons and the type II excitations of the Lieb-Liniger model, Phys. Rev. A 91, 013621 (2015).
  98. A. Syrwid and K. Sacha, Lieb-Liniger model: Emergence of dark solitons in the course of measurements of particle positions, Phys. Rev. A 92, 032110 (2015).
  99. J. Sato, R. Kanamoto, E. Kaminishi, and T. Deguchi, Quantum states of dark solitons in the 1D Bose gas, New J. Phys. 18, 075008 (2016).
  100. A. Syrwid, M. Brewczyk, M. Gajda, and K. Sacha, Single-shot simulations of dynamics of quantum dark solitons, Phys. Rev. A 94, 023623 (2016).
  101. K. Gawryluk, M. Brewczyk, and K. Rzążewski, Thermal solitons as revealed by the static structure factor, Phys. Rev. A 95, 043612 (2017).
  102. R. Ołdziejewski, W. Górecki, K. Pawłowski, and K. Rzążewski, Many-body solitonlike states of the bosonic ideal gas, Phys. Rev. A 97, 063617 (2018).
  103. S. S. Shamailov and J. Brand, Quantum dark solitons in the one-dimensional Bose gas, Phys. Rev. A 99, 043632 (2019).
  104. W. Golletz, W. Górecki, R. Ołdziejewski, and K. Pawłowski, Dark solitons revealed in Lieb-Liniger eigenstates, Phys. Rev. Res. 2, 033368 (2020).
  105. S. S. Shamailov and J. Brand, Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions, New J. Phys. 18, 075004 (2016).
  106. A. Syrwid, D. Delande, and K. Sacha, Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring, Phys. Rev. A 98, 023616 (2018).
  107. A. Syrwid and K. Sacha, Quantum dark solitons in a Bose gas confined in a hard-wall box, Phys. Rev. A 96, 043602 (2017).

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