- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review A

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Solitary waves in a quantum droplet-bearing system

G. C. Katsimiga1, S. I. Mistakidis2,3, G. N. Koutsokostas4, D. J. Frantzeskakis4, R. Carretero-González5, and P. G. Kevrekidis1

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
  • 2ITAMP, Center for Astrophysics | Harvard & Smithsonian, Cambridge, Massachusetts 02138 USA
  • 3Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 4Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
  • 5Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA

PDF

Phys. Rev. A 107, 063308 – Published 15 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.063308

Abstract

We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis, we identify the regimes of existence of different types of quantum droplets and subsequently examine the possibility of black and gray solitons and kink-type structures in this system. Moreover, we employ the Landau dynamics approach to extract an analytical estimate of the oscillation frequency of a single dark soliton in the relevant extended Gross–Pitaevskii model. Within this framework, we also find that the single soliton immersed in a droplet is stable, while multisoliton configurations exhibit parametric windows of oscillatory instabilities. Our results pave the way for studying dynamical features of nonlinear multisoliton excitations in a droplet environment in contemporary experimental settings.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (85)

  1. D. S. Petrov, Phys. Rev. Lett. 115, 155302 (2015).
  2. Z.-H. Luo, W. Pang, B. Liu, Y.-Y. Li, and B. A. Malomed, Front. Phys. 16, 32201 (2021).
  3. B. A. Malomed, Front. Phys. 16, 22504 (2021).
  4. F. Böttcher, J.-N. Schmidt, J. Hertkorn, K. S. H. Ng, S. D. Graham, M. Guo, T. Langen, and T. Pfau, Rep. Prog. Phys. 84, 012403 (2021).
  5. T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. 106, 1135 (1957).
  6. L. Chomaz, I. Ferrier-Barbut, F. Ferlaino, B. Laburthe-Tolra, B. L. Lev, and T. Pfau, Rep. Prog. Phys. 86, 026401 (2023).
  7. P. Cheiney, C. R. Cabrera, J. Sanz, B. Naylor, L. Tanzi, and L. Tarruell, Phys. Rev. Lett. 120, 135301 (2018).
  8. G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, and M. Fattori, Phys. Rev. Lett. 120, 235301 (2018).
  9. C. R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, and L. Tarruell, Science 359, 301 (2018).
  10. C. D'Errico, A. Burchianti, M. Prevedelli, L. Salasnich, F. Ancilotto, M. Modugno, F. Minardi, and C. Fort, Phys. Rev. Res. 1, 033155 (2019).
  11. A. Burchianti, C. D'Errico, M. Prevedelli, L. Salasnich, F. Ancilotto, M. Modugno, F. Minardi, and C. Fort, Condens. Matter 5, 21 (2020).
  12. X. Cui, Phys. Rev. A 98, 023630 (2018).
  13. D. Rakshit, T. Karpiuk, M. Brewczyk, and M. Gajda, SciPost Phys. 6, 079 (2019).
  14. Y. Sekino and Y. Nishida, Phys. Rev. A 97, 011602(R) (2018).
  15. I. Morera, B. Juliá-Díaz, and M. Valiente, Phys. Rev. Res. 4, L042024 (2022).
  16. S.-L. Xu, Y.-B. Lei, J.-T. Du, Y. Zhao, R. Hua, and J.-H. Zeng, Chaos, Solit. Fractals 164, 112665 (2022).
  17. X. Zhang, X. Xu, Y. Zheng, Z. Chen, B. Liu, C. Huang, B. A. Malomed, and Y. Li, Phys. Rev. Lett. 123, 133901 (2019).
  18. S. Gangwar, R. Ravisankar, P. Muruganandam, and P. K. Mishra, Phys. Rev. A 106, 063315 (2022).
  19. Y. Li, Z. Luo, Y. Liu, Z. Chen, C. Huang, S. Fu, H. Tan, and B. A. Malomed, New J. Phys. 19, 113043 (2017).
  20. K. E. Wilson, N. Westerberg, M. Valiente, C. W. Duncan, E. M. Wright, P. Öhberg, and D. Faccio, Phys. Rev. Lett. 121, 133903 (2018).
  21. R. Hołyst, M. Litniewski, D. Jakubczyk, K. Kolwas, M. Kolwas, K. Kowalski, S. Migacz, S. Palesa, and M. Zientara, Rep. Prog. Phys. 76, 034601 (2013).
  22. J. Feder, K. Russell, J. Lothe, and G. Pound, Adv. Phys. 15, 111 (1966).
  23. M. Barranco, R. Guardiola, S. Hernández, R. Mayol, J. Navarro, and M. Pi, J. Low Temp. Phys. 142, 1 (2006).
  24. J. P. Toennies and A. F. Vilesov, Angew. Chem. Int. Ed. 43, 2622 (2004).
  25. D. S. Petrov and G. E. Astrakharchik, Phys. Rev. Lett. 117, 100401 (2016).
  26. G. Ferioli, G. Semeghini, L. Masi, G. Giusti, G. Modugno, M. Inguscio, A. Gallemí, A. Recati, and M. Fattori, Phys. Rev. Lett. 122, 090401 (2019).
  27. G. E. Astrakharchik and B. A. Malomed, Phys. Rev. A 98, 013631 (2018).
  28. P. Stürmer, M. N. Tengstrand, R. Sachdeva, and S. M. Reimann, Phys. Rev. A 103, 053302 (2021).
  29. M. Tylutki, G. E. Astrakharchik, B. A. Malomed, and D. S. Petrov, Phys. Rev. A 101, 051601(R) (2020).
  30. A. Cappellaro, T. Macrì, and L. Salasnich, Phys. Rev. A 97, 053623 (2018).
  31. H. Hu and X.-J. Liu, Phys. Rev. A 102, 053303 (2020).
  32. M. N. Tengstrand and S. M. Reimann, Phys. Rev. A 105, 033319 (2022).
  33. T. Mithun, A. Maluckov, K. Kasamatsu, B. A. Malomed, and A. Khare, Symmetry 12, 174 (2020).
  34. T. Mithun, S. I. Mistakidis, P. Schmelcher, and P. G. Kevrekidis, Phys. Rev. A 104, 033316 (2021).
  35. G. De Rosi, G. E. Astrakharchik, and P. Massignan, Phys. Rev. A 103, 043316 (2021).
  36. J. Wang, H. Hu, and X.-J. Liu, New J. Phys. 22, 103044 (2020).
  37. A. Boudjemâa, Sci. Rep. 11, 21765 (2021).
  38. L. Parisi, G. E. Astrakharchik, and S. Giorgini, Phys. Rev. Lett. 122, 105302 (2019).
  39. L. Parisi and S. Giorgini, Phys. Rev. A 102, 023318 (2020).
  40. S. I. Mistakidis, T. Mithun, P. G. Kevrekidis, H. R. Sadeghpour, and P. Schmelcher, Phys. Rev. Res. 3, 043128 (2021).
  41. M. Ota and G. Astrakharchik, SciPost Phys. 9, 020 (2020).
  42. S. I. Mistakidis, A. G. Volosniev, R. E. Barfknecht, T. Fogarty, T. Busch, A. Foerster, P. Schmelcher, and N. T. Zinner, arXiv:2202.11071.
  43. P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-González, The Defocusing Nonlinear Schrödinger Equation: From Dark Solitons to Vortices and Vortex Rings (SIAM, Philadelphia, PA, 2015).
  44. M. Edmonds, arXiv:2209.00790.
  45. Y. V. Kartashov, V. M. Lashkin, M. Modugno, and L. Torner, New J. Phys. 24, 073012 (2022).
  46. Y. V. Kartashov, B. A. Malomed, L. Tarruell, and L. Torner, Phys. Rev. A 98, 013612 (2018).
  47. Y. Li, Z. Chen, Z. Luo, C. Huang, H. Tan, W. Pang, and B. A. Malomed, Phys. Rev. A 98, 063602 (2018).
  48. M. N. Tengstrand, P. Stürmer, E. Ö. Karabulut, and S. M. Reimann, Phys. Rev. Lett. 123, 160405 (2019).
  49. P. Examilioti and G. M. Kavoulakis, J. Phys. B: At. Mol. Opt. Phys. 53, 175301 (2020).
  50. M. Caldara and F. Ancilotto, Phys. Rev. A 105, 063328 (2022).
  51. S. Saqlain, T. Mithun, R. Carretero-González, and P. G. Kevrekidis, Phys. Rev. A 107, 033310 (2023).
  52. A. Shukla, Neeraj, and P. K. Panigrahi, J. Phys. B: At. Mol. Opt. Phys. 54, 165301 (2021).
  53. P. Kaur, S. Gautam, and S. K. Adhikari, Phys. Rev. A 105, 023303 (2022).
  54. J. Kopyciński, M. Łebek, W. Górecki, and K. Pawłowski, Phys. Rev. Lett. 130, 043401 (2023).
  55. T. Busch and J. R. Anglin, Phys. Rev. Lett. 87, 010401 (2001).
  56. D. J. Frantzeskakis, J. Phys. A: Math. Theor. 43, 213001 (2010).
  57. H. Tamura, C.-A. Chen, and C.-L. Hung, arXiv:2211.08575.
  58. S. Mossman, G. C. Katsimiga, S. I. Mistakidis, A. Romero-Ros, T. M. Bersano, P. Schmelcher, P. G. Kevrekidis, and P. Engels, arXiv:2208.10585.
  59. B. Bakkali-Hassani, C. Maury, Y.-Q. Zou, É. Le Cerf, R. Saint-Jalm, P. C. M. Castilho, S. Nascimbene, J. Dalibard, and J. Beugnon, Phys. Rev. Lett. 127, 023603 (2021).
  60. X. Chai, D. Lao, K. Fujimoto, and C. Raman, Phys. Rev. Res. 3, L012003 (2021).
  61. A. R. Fritsch, M. Lu, G. H. Reid, A. M. Piñeiro, and I. B. Spielman, Phys. Rev. A 101, 053629 (2020).
  62. V. V. Konotop and L. Pitaevskii, Phys. Rev. Lett. 93, 240403 (2004).
  63. P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-González, Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment (Springer, Berlin/Heidelberg, Germany, 2008), Vol. 45.
  64. C. J. Pethick and H. Smith, Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, 2008).
  65. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation and Superfluidity, International Series of Monographs on Physics (Oxford University Press, Oxford, 2016).
  66. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
  67. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010).
  68. E. Madelung, Eur. Phys. J. A 40, 322 (1927).
  69. I. Barashenkov, A. Gocheva, V. Makhankov, and I. Puzynin, Phys. D (Amsterdam, Neth.) 34, 240 (1989).
  70. G. C. Katsimiga, S. I. Mistakidis, B. A. Malomed, D. J. Frantzeskakis, R. Carretero-González, and P. G. Kevrekidis, arXiv:2306.07055.
  71. C. Gallo and D. Pelinovsky, Asymptot. Anal. 73, 53 (2011).
  72. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1959).
  73. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 64, 1627 (1973) [Sov. Phys. JETP 37, 823 (1973)].
  74. P. G. Kevrekidis, W. Wang, R. Carretero-González, and D. J. Frantzeskakis, Phys. Rev. Lett. 118, 244101 (2017).
  75. C. T. Kelley, Solving Nonlinear Equations with Newton's Method (SIAM, 2003).
  76. G. L. Alfimov and D. A. Zezyulin, Nonlinearity 20, 2075 (2007).
  77. A. Chernyavsky, P. G. Kevrekidis, and D. E. Pelinovsky, Parity-Time Symmetry and Its Applications (Springer, 2018), pp. 465–491.
  78. D. V. Skryabin, Phys. Rev. A 63, 013602 (2000).
  79. G. C. Katsimiga, S. I. Mistakidis, T. M. Bersano, M. K. H. Ome, S. M. Mossman, K. Mukherjee, P. Schmelcher, P. Engels, and P. G. Kevrekidis, Phys. Rev. A 102, 023301 (2020).
  80. M. P. Coles, D. E. Pelinovsky, and P. G. Kevrekidis, Nonlinearity 23, 1753 (2010).
  81. S. De Palo, E. Orignac, and R. Citro, Phys. Rev. B 106, 014503 (2022).
  82. A. Chernyavsky, P. G. Kevrekidis, and D. E. Pelinovsky, Krein Signature in Hamiltonian and PT-Symmetric Systems, in Parity-time Symmetry and Its Applications, edited by D. Christodoulides and J. Yang (Springer Singapore, Singapore, 2018), pp. 465–491.
  83. T. Kapitula and P. G. Kevrekidis, Chaos 15, 037114 (2005).
  84. G. Theocharis, A. Weller, J. P. Ronzheimer, C. Gross, M. K. Oberthaler, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A 81, 063604 (2010).
  85. I. A. Englezos, S. I. Mistakidis, and P. Schmelcher, Phys. Rev. A 107, 023320 (2023).

Outline

Information

Phys. Rev. A 107, 063308– Published 15 June, 2023
  • Received 18 February 2023
  • Accepted 26 May 2023
Article part of CHORUS
Crossmark - Check for updates button

©2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation