Interaction Between Two Jackiw-Rebbi States in Interfaced Binary Waveguide Arrays with Cubic-quintic Nonlinearity

Xuan Truong Tran, Nhu Xuan Nguyen, The Quang Nguyen, Van Toan Nguyen, Tuan Linh Nguyen
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Authors

  • Xuan Truong Tran Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet, Ha Noi, Viet Nam https://orcid.org/0000-0001-7213-0304
  • Nhu Xuan Nguyen Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet, Ha Noi, Viet Nam
  • The Quang Nguyen Department of Communications, Le Quy Don Technical University, 236 Hoang Quoc Viet str., Hanoi, Vietnam
  • Van Toan Nguyen Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet, Ha Noi, Viet Nam
  • Tuan Linh Nguyen Department of Physics, Le Quy Don University, 236 Hoang Quoc Viet, Ha Noi, Viet Nam

DOI:

https://doi.org/10.15625/0868-3166/15178

Keywords:

soliton, binary waveguide array, cubic-quintic nonlinearity

Abstract

We study the coupling and switching effects of two discrete relativistic quantum Jackiw-Rebbi states in interfaced binary waveguide arrays with cubic-quintic nonlinearity. Like in the case with Kerr nonlinearity, two Jackiw-Rebbi states can couple efficiently to each other in the low-power regime, show the switching effect in the intermediate-power regime, and possess the trapping effect in the high-power regime. However, in the case with cubic-quintic nonlinearity, if the input Jackiw-Rebbi state power is increased further, one can observe the quasi-linear coupling effect between two Jackiw-Rebbi states which has not been found between two Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity.

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References

[1] D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424 (2003) 817. DOI: https://doi.org/10.1038/nature01936

[2] D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13 (1988) 794. DOI: https://doi.org/10.1364/OL.13.000794

[3] G. P. Agrawal, Applications of Nonlinear Fiber Optics}, 2nd. (Academic Press, New York, 2008).

[4] A. L. Jones, J. Opt. Soc. Am. textbf{55 (1965) 261. DOI: https://doi.org/10.1364/JOSA.55.000261

[5] Tr. X. Tran and F. Biancalana, Phys. Rev. Lett. 110 (2013) 113903. DOI: https://doi.org/10.1103/PhysRevLett.110.113903

[6] M. Ghulinyan, C. J. Oton, Z. Gaburro, L. Pavesi, C. Toninelli, and D. S. Wiersma, Phys. Rev. Lett. 94 (2005) 127401. DOI: https://doi.org/10.1103/PhysRevLett.94.127401

[7] T. Pertsch, P. Dannberg, W. Elein, A. Br"{a}uer, and F. Lederer, Phys. Rev. Lett. 83 (1999) 4752. DOI: https://doi.org/10.1103/PhysRevLett.83.4752 Phys. Rev. Lett. 83 (1999) 4752.">

[8] S. Longhi, Phys. Rev. B 81 (2010) 075102 . DOI: https://doi.org/10.1103/PhysRevB.81.075102

[9] F. Dreisow, R. Keil, A. T"{u}nnermann, S. Nolte, S. Longhi, and A. Szameit, Europhys. Lett. textbf{97 (2012) 10008. DOI: https://doi.org/10.1209/0295-5075/97/10008

[10] Q. Nguyen-The and Tr. X. Tran, J. Opt. Soc. Am. B 37 (2020) 1911. DOI: https://doi.org/10.1364/JOSAB.392263

[11] F. Dreisow, M. Heinrich, R. Keil, A. T"{u}nnermann, S. Nolte, S. Longhi, and A. Szameit, Phys. Rev. Lett. 105 (2010) 143902. DOI: https://doi.org/10.1103/PhysRevLett.105.143902 Phys. Rev. Lett. 105 (2010) 143902.">

[12] Tr. X. Tran, S. Longhi, and F. Biancalana, Ann. Phys. 340 (2014) 179. DOI: https://doi.org/10.1016/j.aop.2013.10.017

[13] Tr. X. Tran, X. N. Nguyen, and D. C. Duong, J. Opt. Soc. Am. B 31 (2014) 1132. DOI: https://doi.org/10.1364/JOSAB.31.001132

[14] Tr. X. Tran, X. N. Nguyen, and F. Biancalana, Phys. Rev. A 91 (2015) 023814. DOI: https://doi.org/10.1103/PhysRevA.91.023814

[15] Tr. X. Tran and D. C. Duong, Ann. Phys. textbf{361 (2015) 501. DOI: https://doi.org/10.1016/j.aop.2015.07.015

[16] Tr. X. Tran., H. M. Nguyen, and H. D. Phung, Commun. in Phys. 27 (2017) 205.

[17] Tr. X. Tran and D. C. Duong, Chaos 28 (2018) 013112. DOI: https://doi.org/10.1063/1.4985098

[18] Tr. X. Tran, J. Opt. Soc. Am. B 36 (2019) 2001. DOI: https://doi.org/10.1364/JOSAB.36.002001

[19] R. Jackiw and C. Rebbi, Phys. Rev. D 13 (1976) 3398. DOI: https://doi.org/10.1103/PhysRevD.13.3398

[20] Tr. X. Tran and F. Biancalana, Phys. Rev. A 96 (2017) 013831. DOI: https://doi.org/10.1103/PhysRevA.96.013831

[21] R. B. Laughlin, Rev. Mod. Phys. 71 (1999) 863. DOI: https://doi.org/10.1103/RevModPhys.71.863

[22] M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. textbf{82 (2010) 3045. DOI: https://doi.org/10.1103/RevModPhys.82.3045

[23] M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Nature 496 (2013) 196. DOI: https://doi.org/10.1038/nature12066

[24] Tr. X. Tran, J. Opt. Soc. Am. B 36 (2019) 2559. DOI: https://doi.org/10.1364/JOSAB.36.002559

[25] N. N. Rosanov and Tr. X. Tran, Chaos 17 (2007) 037114. DOI: https://doi.org/10.1063/1.2746819

[26] Tr. X. Tran, H. M. Nguyen, and D. C. Duong, Phys. Rev. A textbf{100 (2019) 053849. DOI: https://doi.org/10.1103/PhysRevA.100.053849

[27] Tr. X. Tran, Chaos 30 (2020) 063134. DOI: https://doi.org/10.1063/5.0004073

[28] Tr. X. Tran, D. C. Duong, and F. Biancalana, J. Lightwave Technol. textbf{35 (2017) 5092. DOI: https://doi.org/10.1109/JLT.2017.2763592

[29] Tr. X. Tran, Phys. Rev. A 101 (2020) 063826.

[30] N. Akhmediev and A. Ankiewicz, Eds., Dissipative Soli-tons (Springer, New York, 2005). DOI: https://doi.org/10.1007/b11728

[31] G. P. Agrawal, Nonlinear Fiber Optics}, 5th ed. (Academic Press, New York, 2013). DOI: https://doi.org/10.1016/B978-0-12-397023-7.00011-5

[32] Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fiber to Photonic Crystals}, 5th ed. (Academic, New York, 2003). DOI: https://doi.org/10.1016/B978-012410590-4/50012-7

[33] B. Lawrence, W. E. Torruellas, M. Cha, M. L. Sundheimer, and G. I. Stegeman, Phys. Rev. Lett. 73 (1994) 597. DOI: https://doi.org/10.1103/PhysRevLett.73.597

[34] R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83 (1999) 4756. DOI: https://doi.org/10.1103/PhysRevLett.83.4756

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Published

06-01-2021

How to Cite

[1]
X. T. Tran, N. X. Nguyen, T. Q. Nguyen, V. T. Nguyen and T. L. Nguyen, Interaction Between Two Jackiw-Rebbi States in Interfaced Binary Waveguide Arrays with Cubic-quintic Nonlinearity, Comm. Phys. 31 (2021) 23. DOI: https://doi.org/10.15625/0868-3166/15178.

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Vol. 31 No. 1 (2021)

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Papers

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Received 25-06-2020
Accepted 21-07-2020
Published 06-01-2021