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

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.

Keywords


soliton, binary waveguide array, cubic-quintic nonlinearity

Full Text:

PDF

References


[1] D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424 (2003) 817.

[2] D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13 (1988) 794.

[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.

[5] Tr. X. Tran and F. Biancalana, Phys. Rev. Lett. 110 (2013) 113903.

[6] M. Ghulinyan, C. J. Oton, Z. Gaburro, L. Pavesi, C. Toninelli, and D. S. Wiersma, Phys. Rev. Lett. 94 (2005) 127401.

[7] T. Pertsch, P. Dannberg, W. Elein, A. Br"{a}uer, and F. Lederer, Phys. Rev. Lett. 83 (1999) 4752.

[8] S. Longhi, Phys. Rev. B 81 (2010) 075102 .

[9] F. Dreisow, R. Keil, A. T"{u}nnermann, S. Nolte, S. Longhi, and A. Szameit, Europhys. Lett. textbf{97 (2012) 10008.

[10] Q. Nguyen-The and Tr. X. Tran, J. Opt. Soc. Am. B 37 (2020) 1911.

[11] F. Dreisow, M. Heinrich, R. Keil, A. T"{u}nnermann, S. Nolte, S. Longhi, and A. Szameit, Phys. Rev. Lett. 105 (2010) 143902.

[12] Tr. X. Tran, S. Longhi, and F. Biancalana, Ann. Phys. 340 (2014) 179.

[13] Tr. X. Tran, X. N. Nguyen, and D. C. Duong, J. Opt. Soc. Am. B 31 (2014) 1132.

[14] Tr. X. Tran, X. N. Nguyen, and F. Biancalana, Phys. Rev. A 91 (2015) 023814.

[15] Tr. X. Tran and D. C. Duong, Ann. Phys. textbf{361 (2015) 501.

[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.

[18] Tr. X. Tran, J. Opt. Soc. Am. B 36 (2019) 2001.

[19] R. Jackiw and C. Rebbi, Phys. Rev. D 13 (1976) 3398.

[20] Tr. X. Tran and F. Biancalana, Phys. Rev. A 96 (2017) 013831.

[21] R. B. Laughlin, Rev. Mod. Phys. 71 (1999) 863.

[22] M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. textbf{82 (2010) 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.

[24] Tr. X. Tran, J. Opt. Soc. Am. B 36 (2019) 2559.

[25] N. N. Rosanov and Tr. X. Tran, Chaos 17 (2007) 037114.

[26] Tr. X. Tran, H. M. Nguyen, and D. C. Duong, Phys. Rev. A textbf{100 (2019) 053849.

[27] Tr. X. Tran, Chaos 30 (2020) 063134.

[28] Tr. X. Tran, D. C. Duong, and F. Biancalana, J. Lightwave Technol. textbf{35 (2017) 5092.

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

[30] N. Akhmediev and A. Ankiewicz, Eds., Dissipative Soli-tons (Springer, New York, 2005).

[31] G. P. Agrawal, Nonlinear Fiber Optics}, 5th ed. (Academic Press, New York, 2013).

[32] Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fiber to Photonic Crystals}, 5th ed. (Academic, New York, 2003).

[33] B. Lawrence, W. E. Torruellas, M. Cha, M. L. Sundheimer, and G. I. Stegeman, Phys. Rev. Lett. 73 (1994) 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/10.15625/0868-3166/15178 Display counter: Abstract : 230 views. PDF : 74 views.

Refbacks

  • There are currently no refbacks.




Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 

Email: cip@vjs.ac.vn

Copyright by