Kink-like breathers in Bose–Einstein condensates with helicoidal spin–orbit coupling

Yixin Yang, Peng Gao, Li-Chen Zhao, Zhan-Ying Yang

PDF(846 KB)
PDF(846 KB)
Front. Phys. ›› 2022, Vol. 17 ›› Issue (3) : 32503. DOI: 10.1007/s11467-021-1127-0
RESEARCH ARTICLE
RESEARCH ARTICLE

Kink-like breathers in Bose–Einstein condensates with helicoidal spin–orbit coupling

Author information +
History +

Abstract

We report a kind of kink-like breathers in one-dimensional Bose–Einstein condensates (BECs) with helicoidal spin–orbit coupling (SOC), on whose two sides the background densities manifest obvious difference (called kink amplitude). The kink amplitude and shape of breather can be adjusted by the strength and period of helicoidal SOC, and its atomic number in two components exchanges periodically with time. The SOC has similar influence on the kink amplitude and the exchanged atomic number, especially when the background wave number is fixed. It indicates that the oscillating intensity of breather can be controlled by adjusting initial kink amplitude. Our work showcases the great potential of realizing novel types of breathers through SOC, and deepens our understanding on the formation mechanisms of breathers in BECs.

Graphical abstract

Keywords

Bose–Einstein condensates / spin–orbit coupling / breather

Cite this article

Download citation ▾
Yixin Yang, Peng Gao, Li-Chen Zhao, Zhan-Ying Yang. Kink-like breathers in Bose–Einstein condensates with helicoidal spin–orbit coupling. Front. Phys., 2022, 17(3): 32503 https://doi.org/10.1007/s11467-021-1127-0

References

[1]
M. Matuszewski , E. Infeld , B. A. Malomed , and M. Trippenbach , Fully three dimensional breather solitons can be created using Feshbach resonances, Phys. Rev. Lett. 95 (5), 050403 (2005)
CrossRef ADS Google scholar
[2]
M. Yu , J. K. Jang , Y. Okawachi , A. G. Griffth , K. Luke , S. A. Miller , X. Ji , M. Lipson , and A. L. Gaeta , Breather soliton dynamics in microresonators, Nat. Commun. 8 (1), 14569 (2017)
CrossRef ADS Google scholar
[3]
D. Luo , Y. Jin , J. H. V. Nguyen , B. A. Malomed , O. V. Marchukov , V. A. Yurovsky , V. Dunjko , M. Olshanii , and R. G. Hulet , Creation and characterization of matter-wave breathers, Phys. Rev. Lett. 125 (18), 183902 (2020)
CrossRef ADS Google scholar
[4]
E. A. Kuznetsov , Solitons in parametrically unstable plasma, Dokl. Akad. Nauk SSSR 236, 575 (1977)
[5]
Y. C. Ma , The perturbed plane-wave solutions of the cubic Schrödinger equation, Stud. Appl. Math. 60 (1), 43 (1979)
CrossRef ADS Google scholar
[6]
N. N. Akhmediev and V. I. Korneev , Modulation instability and periodic solutions of the nonlinear Schrödinger equation, Theor. Math. Phys. 69 (2), 1089 (1986)
CrossRef ADS Google scholar
[7]
M. Tajiri and Y. Watanabe , Breather solutions to the focusing nonlinear Schrödinger equation, Phys. Rev. E 57 (3), 3510 (1998)
CrossRef ADS Google scholar
[8]
C. Liu and N. Akhmediev , Super-regular breathers in nonlinear systems with self-steepening effect, Phys. Rev. E 100 (6), 062201 (2019)
CrossRef ADS Google scholar
[9]
C. Liu , Z. Y. Yang , and W. L. Yang , Growth rate of modulation instability driven by superregular breathers, Chaos 28 (8), 083110 (2018)
CrossRef ADS Google scholar
[10]
Y. H. Wu , C. Liu , Z. Y. Yang , and W. L. Yang , Breather interaction properties induced by self-steepening and space–time correction, Chin. Phys. Lett. 37 (4), 040501 (2020)
CrossRef ADS Google scholar
[11]
N. Akhmediev , J. M. Soto-Crespo , and A. Ankiewicz , How to excite a rogue wave, Phys. Rev. A 80 (4), 043818 (2009)
CrossRef ADS Google scholar
[12]
B. Frisquet , B. Kibler , and G. Millot , Collision of Akhmediev breathers in nonlinear fiber optics, Phys. Rev. X 3 (4), 041032 (2013)
CrossRef ADS Google scholar
[13]
F. Baronio , A. Degasperis , M. Conforti , and S. Wabnitz , Solutions of the vector nonlinear schrödinger equations: Evidence for deterministic rogue waves, Phys. Rev. Lett. 109 (4), 044102 (2012)
CrossRef ADS Google scholar
[14]
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 (10), 790 (2010)
CrossRef ADS Google scholar
[15]
H. Bailung , S. K. Sharma , and Y. Nakamura , Observation of peregrine solitons in a multicomponent plasma with negative ions, Phys. Rev. Lett. 107 (25), 255005 (2011)
CrossRef ADS Google scholar
[16]
A. Chabchoub , N. P. Hoffmann , and N. Akhmediev , Rogue wave observation in a water wave tank, Phys. Rev. Lett. 106 (20), 204502 (2011)
CrossRef ADS Google scholar
[17]
C. Liu , Z. Y. Yang , L. C. Zhao , and W. L. Yang , Vector breathers and the inelastic interaction in a three-mode nonlinear optical fiber, Phys. Rev. A 89 (5), 055803 (2014)
CrossRef ADS Google scholar
[18]
C. Liu , Z. Y. Yang , W. L. Yang , and N. Akhmediev , Chessboard-like spatio-temporal interference patterns and their excitation, J. Opt. Soc. Am. B 36 (5), 1294 (2019)
CrossRef ADS Google scholar
[19]
M. H. Anderson , J. R. Ensher , M. R. Matthews , C. E. Wieman , and E. A. Cornell , Observation of Bose–Einstein condensation in a dilute atomic vapor, Science 269 (5221), 198 (1995)
CrossRef ADS Google scholar
[20]
Y. Zhang , M. E. Mossman , T. Busch , P. Engels , and C. Zhang , Properties of spin–orbit-coupled Bose–Einstein condensates, Front. Phys. 11 (3), 118103 (2016)
CrossRef ADS Google scholar
[21]
Y. J. Lin , K. Jiménez-García , and I. B. Spielman , Spin– orbit-coupled Bose–Einstein condensates, Nature 471, 83 (2011)
CrossRef ADS Google scholar
[22]
J. Dalibard , F. Gerbier , G. Juzeliūnas , and P. Öhberg , Colloquium: Artificial gauge potentials for neutral atoms, Rev. Mod. Phys. 83 (4), 1523 (2011)
CrossRef ADS Google scholar
[23]
Y. Xu , Y. Zhang , and B. Wu , Bright solitons in spin–orbitcoupled Bose–Einstein condensates, Phys. Rev. A 87 (1), 013614 (2013)
CrossRef ADS Google scholar
[24]
V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , and D. E. Pelinovsky , Matter-wave bright solitons in spin– orbit coupled Bose–Einstein condensates, Phys. Rev. Lett. 110 (26), 264101 (2013)
CrossRef ADS Google scholar
[25]
V. Achilleos , J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , and P. Schmelcher , Matter-wave dark solitons and their excitation spectra in spin–orbit coupled Bose–Einstein condensates, EPL 103 (2), 20002 (2013)
CrossRef ADS Google scholar
[26]
V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , P. Schmelcher , and J. Stockhofe , Positive and negative mass solitons in spin–orbit coupled Bose–Einstein condensates, arXiv: 1502.05574 (2015)
[27]
L. C. Zhao , X. W. Luo , and C. Zhang , Magnetic stripe soliton and localized stripe wave in spin-1 Bose–Einstein condensates, Phys. Rev. A 101 (2), 023621 (2020)
CrossRef ADS Google scholar
[28]
Y. V. Kartashov and V. V. Konotop , Solitons in Bose– Einstein condensates with helicoidal spin–orbit coupling, Phys. Rev. Lett. 118 (19), 190401 (2017)
CrossRef ADS Google scholar
[29]
Y. A. Bychkov and E. I. Rashba , Oscillatory effects and the magnetic susceptibility of carriers in inversion layers, J. Phys. C 17 (33), 6039 (1984)
CrossRef ADS Google scholar
[30]
G. Dresselhaus , Spin–orbit coupling effects in zinc blende structures, Phys. Rev. 100 (2), 580 (1955)
CrossRef ADS Google scholar
[31]
X. W. Luo , K. Sun , and C. Zhang , Spin-tensormomentum-coupled Bose–Einstein condensates, Phys. Rev. Lett. 119 (19), 193001 (2017)
CrossRef ADS Google scholar
[32]
R. X. Zhong , Z. P. Chen , C. Q. Huang , Z. H. Luo , H. S. Tan , B. A. Malomed , and Y. Y. Li , Self-trapping under two-dimensional spin–orbit coupling and spatially growing repulsive nonlinearity, Front. Phys. 13 (4), 130311 (2018)
CrossRef ADS Google scholar
[33]
S. W. Song , L. Wen , C. F. Liu , S. C. Gou , and W. M. Liu , Ground states, solitons and spin textures in spin-1 Bose–Einstein condensates, Front. Phys. 8 (3), 302 (2013)
CrossRef ADS Google scholar
[34]
Y. V. Kartashov , E. Y. Sherman , B. A. Malomed , and V. V. Konotop , Stable two-dimensional soliton complexes in Bose–Einstein condensates with helicoidal spin–orbit coupling, New J. Phys. 22 (10), 103014 (2020)
CrossRef ADS Google scholar
[35]
G. H. Chen , H. C. Wang , Z. P. Chen , and Y. Liu , Fundamental modes in waveguide pipe twisted by saturated double-well potential, Front. Phys. 12 (1), 124201 (2017)
CrossRef ADS Google scholar
[36]
K. Jiménez-García , L. J. LeBlanc , R. A. Williams , M. C. Beeler , C. Qu , M. Gong , C. Zhang , and I. B. Spielman , Tunable spin–orbit coupling via strong driving in ultracold-atom systems, Phys. Rev. Lett. 114 (12), 125301 (2015)
CrossRef ADS Google scholar
[37]
X. Luo , L. Wu , J. Chen , Q. Guan , K. Gao , Z. F. Xu , L. You , and R. Wang , Tunable atomic spin–orbit coupling synthesized with a modulating gradient magnetic field, Sci. Rep. 6 (1), 18983 (2016)
CrossRef ADS Google scholar
[38]
S. Manakov , On the theory of two-dimensional stationary self-focusing electromagnetic waves, J. Exp. Theor. Phys. 38, 248 (1974)
[39]
Y. Li , L. P. Pitaevskii , and S. Stringari , Quantum tricriticality and phase transitions in spin–orbit coupled Bose– Einstein condensates, Phys. Rev. Lett. 108 (22), 225301 (2012)
CrossRef ADS Google scholar
[40]
Y. Yang , P. Gao , Z. Wu , L. C. Zhao , and Z. Y. Yang , Matter-wave stripe solitons induced by helicoidal spin– orbit coupling, Ann. Phys. 431, 168562 (2021)
CrossRef ADS Google scholar
[41]
B. Guo , L. Ling , and Q. P. Liu , Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions, Phys. Rev. E 85 (2), 026607 (2012)
CrossRef ADS Google scholar
[42]
C. Liu and N. Akhmediev , Super-regular breathers in nonlinear systems with self-steepening effect, Phys. Rev. E 100 (6), 062201 (2019)
CrossRef ADS Google scholar
[43]
L. Duan , Z. Y. Yang , P. Gao , and W. L. Yang , Excitation conditions of several fundamental nonlinear waves on continuous-wave background, Phys. Rev. E 99 (1), 012216 (2019)
CrossRef ADS Google scholar
[44]
L. C. Zhao and J. Liu , Localized nonlinear waves in a twomode nonlinear fiber, J. Opt. Soc. Am. B 29 (11), 3119 (2012)
CrossRef ADS Google scholar
[45]
L. Ling , L. C. Zhao , and B. Guo , Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations, Nonlinearity 28 (9), 3243 (2015)
CrossRef ADS Google scholar
[46]
L. C. Zhao , C. Liu , and Z. Y. Yang , The rogue waves with quintic nonlinearity and nonlinear dispersion effects in nonlinear optical fibers, Commun. Nonlinear Sci. Numer. Simul. 20, 1007 (2014)
[47]
Y. H. Qin , Y. Wu , L. C. Zhao , and Z. Y. Yang , Interference properties of two-component matter wave solitons, Chin. Phys. B 29 (2), 020303 (2020)
CrossRef ADS Google scholar
[48]
L. Ling and L. C. Zhao , Integrable pair-transition-coupled nonlinear Schrödinger equations, Phys. Rev. E 92 (2), 022924 (2015)
CrossRef ADS Google scholar
[49]
N. Devine , A. Ankiewicz , G. Genty , J. M. Dudley , and N. Akhmediev , Recurrence phase shift in Fermi–Pasta–Ulam nonlinear dynamics, Phys. Lett. A 375, 4158 (2011)
CrossRef ADS Google scholar

RIGHTS & PERMISSIONS

2022 Higher Education Press
AI Summary AI Mindmap
PDF(846 KB)

Accesses

Citations

Detail

Sections
Recommended

/