Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Observation of optical tunneling inhibition by a parabolic potential in twisted photonic lattices

Weijie Liu, Bin Zhang, Bo Wu, Lei Wang, and Feng Chen*

  • School of Physics, State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100, People's Republic of China

  • *drfchen@sdu.edu.cn

Phys. Rev. Research 4, L012043 – Published 31 March, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L012043

Abstract

Quantum tunneling is considered the cornerstone of many physical processes. So far, its evolution over time, especially under an external field superimposed on the periodic potential field, has not been directly observed experimentally due to the harsh requirements and extremely short time scale. In this paper, we fabricate twisted photonic lattices consisting of three-dimensional waveguide arrays and experimentally illustrate the optical tunneling process under the parabolic potential field through the photonic route. Optical tunneling inhibition is observed experimentally, and the reduced time required to achieve the maximum transfer of waveguides indicates the inhibition can be modulated by the parabolic potential. This provides a reliable means for subsequent experimental study of quantum tunneling under complicated external potential field.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. C. Zener, Non-adiabatic crossing of energy levels, Proc. R. Soc. Lond. A 137, 696 (1932).
  2. S. Longhi, Coherent destruction of tunneling in waveguide directional couplers, Phys. Rev. A 71, 065801 (2005).
  3. M. Parto, H. Lopez-Aviles, J. E. Antonio-Lopez, M. Khajavikhan, R. Amezcua-Correa, and D. N. Christodoulides, Observation of twist-induced geometric phases and inhibition of optical tunneling via Aharonov-Bohm effects, Sci. Adv. 5, u8135 (2019).
  4. S. Longhi, Control of photon tunneling in optical waveguides, Opt. Lett. 32, 557 (2007).
  5. G. Della Valle, M. Ornigotti, E. Cianci, V. Foglietti, P. Laporta, and S. Longhi, Visualization of Coherent Destruction of Tunneling in an Optical Double Well System, Phys. Rev. Lett. 98, 263601 (2007).
  6. Y. Luo, X. Wang, Y. Luo, Z. Zhou, Z. Zeng, and X. Luo, Controlling stable tunneling in a non-Hermitian spin-orbit coupled bosonic junction, New J. Phys. 22, 093041 (2020).
  7. M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices, Phys. Rev. Lett. 111, 185301 (2013).
  8. S. Murmann, A. Bergschneider, V. M. Klinkhamer, G. Zürn, T. Lompe, and S. Jochim, Two Fermions in a Double Well: Exploring a Fundamental Building Block of the Hubbard Model, Phys. Rev. Lett. 114, 080402 (2015).
  9. S. Longhi, Quantum-optical analogies using photonic structures, Laser Photon. Rev. 3, 243 (2009).
  10. S. Longhi, Bloch dynamics of light waves in helical optical waveguide arrays, Phys. Rev. B 76, 195119 (2007).
  11. S. Longhi, Light transfer control and diffraction management in circular fibre waveguide arrays, J. Phys. B: At. Mol. Opt. Phys. 40, 4477 (2007).
  12. A. Szameit and S. Nolte, Discrete optics in femtosecond-laser-written photonic structures, J. Phys B: At. Mol. Opt. 43, 163001 (2010).
  13. M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tunnermann, and F. Lederer, Observation of Three-Dimensional Discrete-Continuous X Waves in Photonic Lattices, Phys. Rev. Lett. 103, 113903 (2009).
  14. Y. Plotnik, M. C. Rechtsman, D. Song, M. Heinrich, J. M. Zeuner, S. Nolte, Y. Lumer, N. Malkova, J. Xu, A. Szameit, Z. Chen, and M. Segev, Observation of unconventional edge states in ‘photonic graphene’, Nat. Mater. 13, 57 (2014).
  15. C. Milian, Y. V. Kartashov, and L. Torner, Robust Ultrashort Light Bullets in Strongly Twisted Waveguide Arrays, Phys. Rev. Lett. 123, 133902 (2019).
  16. Z. Shi, M. Zuo, H. Li, D. Preece, Y. Zhang, and Z. Chen, Topological edge states and solitons on a dynamically tunable domain wall of two opposing helical waveguide arrays, ACS Photonics 8, 1077 (2021).
  17. Z. Zhang, R. Wang, Y. Zhang, Y. V. Kartashov, F. Li, H. Zhong, H. Guan, K. Gao, F. Li, Y. Zhang, and M. Xiao, Observation of edge solitons in photonic graphene, Nat. Commun. 11, 1902 (2020).
  18. S. Mukherjee, A. Spracklen, D. Choudhury, N. Goldman, P. Ohberg, E. Andersson, and R. R. Thomson, Two Fermions in a Double Well: Exploring a Fundamental Building Block of the Hubbard Model, Phys. Rev. Lett. 114, 245504 (2015).
  19. X. Zhang, V. A. Vysloukh, Y. V. Kartashov, X. Chen, F. Ye, and M. R. Belic, PT symmetry in nonlinear twisted multicore fibers, Opt. Lett. 42, 2972 (2017).
  20. H. Zhong, Y. V. Kartashov, A. Szameit, Y. Li, C. Liu, and Y. Zhang, Theory of topological corner state laser in kagome waveguide arrays, APL Photonics 6, 40802 (2021).
  21. Q. Yan, X. Hu, Y. Fu, C. Lu, C. Fan, Q. Liu, X. Feng, Q. Sun, and Q. Gong, Quantum topological photonics, Adv. Opt. Mater. 2021, 2001739 (2021).
  22. M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Photonic Floquet topological insulators, Nature (London) 496, 196 (2013).
  23. T. Biesenthal, M. Kremer, M. Heinrich, and A. Szameit, Experimental Realization of PT-Symmetric Flat Bands, Phys. Rev. Lett. 123, 183601 (2019) .
  24. S. Mukherjee and R. R. Thomson, Observation of robust flat-band localization in driven photonic rhombic lattices, Opt. Lett. 42, 2243 (2017).
  25. W. Song, Y. Chen, H. Li, S. Gao, S. Wu, C. Chen, S. Zhu, and T. Li, Gauge-induced Floquet topological states in photonic waveguides, Laser Photon. Rev. 15, 2000584 (2021).
  26. S. Wu, W. Song, S. Gao, Y. Chen, S. Zhu, and T. Li, Floquet π mode engineering in non-Hermitian waveguide lattices, Phys. Rev. Research 3, 023211 (2021).
  27. A. V. Zolotaryuk, P. L. Christiansen, and A. V. Savin, Two-dimensional dynamics of a free molecular chain with a secondary structure, Phys. Rev. E. 54, 3881 (1996).
  28. W. F. Zhang, X. Zhang, Y. V. Kartashov, X. Chen, and F. Ye, Bloch oscillations in arrays of helical waveguides, Phys. Rev. A 97, 063845 (2018).
  29. M. S. Petrovic, A. I. Strinic, N. B. Aleksic, and M. R. Belic, Rotating solitons supported by a spiral waveguide, Phys. Rev. A 98, 063822 (2018).
  30. H. Zhong, R. Wang, F. Ye, J. Zhang, L. Zhang, Y. Zhang, M. R. Belić, and Y. Zhang, Topological insulator properties of photonic kagome helical waveguide arrays, Results Phys. 12, 996 (2019).
  31. Z. Song, S. Liu, X. Gan, J. Zhao, and E. Li, Rotating properties of Bragg reflections and spatial solitons in rotating photonic lattices, Chin. Opt. Lett. 9, 070801 (2011).
  32. K. Zhan, L. Dou, R. Jiao, W. Zhang, and B. Liu, Talbot effect in arrays of helical waveguides, Opt. Lett. 46, 322 (2021) .
  33. T. Yamakoshi, F. Saif, and S. Watanabe, Significantly stable mode of the ultracold atomic wave packet in amplitude-modulated parabolic optical lattices, Phys. Rev. A 97, 023620 (2018).
  34. A. M. Rey, G. Pupillo, C. W. Clark, and C. J. Williams, Ultracold atoms confined in an optical lattice plus parabolic potential: a closed-form approach, Phys. Rev. A 72, 033616 (2005).
  35. D. Tan, Z. Wang, B. Xu, and J. Qiu, Photonic circuits written by femtosecond laser in glass: improved fabrication and recent progress in photonic devices, Adv. Photonics 3, 024002 (2021).
  36. F. Chen and J. R. V. de Aldana, Optical waveguides in crystalline dielectric materials produced by femtosecond-laser micromachining, Laser Photon. Rev. 8, 251 (2014).
  37. D. Tan, X. Sun, Q. Wang, P. Zhou, Y. Liao, and J. Qiu, Fabricating low loss waveguides over a large depth in glass by temperature gradient assisted femtosecond laser writing, Opt. Lett. 45, 3941 (2020).
  38. T. T. Fernandez, S. Gross, A. Arriola, K. Privat, and M. J. Withford, Revisiting ultrafast laser inscribed waveguide formation in commercial alkali-free borosilicate glasses, Opt. Express 28, 10153 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation