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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 11 — Jun. 1, 2012
  • pp: 2160–2162

Anyons in one-dimensional lattices: a photonic realization

Stefano Longhi and Giuseppe Della Valle  »View Author Affiliations

Optics Letters, Vol. 37, Issue 11, pp. 2160-2162 (2012)

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Anyons are nonlocal quasi-particles carrying fractional statistics that interpolate between bosons and fermions. Here we propose a photonic realization of anyons moving on a one-dimensional lattice, which is based on light transport in an engineered square array of optical waveguides with a helically bent axis. Our photonic simulator enables visualization of the nonlocal nature of anyons in Fock space and the persistence of correlated tunneling even in the absence of particle interaction.

© 2012 Optical Society of America

OCIS Codes
(000.1600) General : Classical and quantum physics
(230.7370) Optical devices : Waveguides
(350.7420) Other areas of optics : Waves

ToC Category:
Optical Devices

Original Manuscript: February 14, 2012
Manuscript Accepted: April 13, 2012
Published: June 1, 2012

Stefano Longhi and Giuseppe Della Valle, "Anyons in one-dimensional lattices: a photonic realization," Opt. Lett. 37, 2160-2162 (2012)

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  1. D. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003). [CrossRef]
  2. S. Longhi, Laser Photon. Rev. 3, 243 (2009). [CrossRef]
  3. A. Szameit and S. Nolte, J. Phys. B 43, 163001 (2010). [CrossRef]
  4. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999). [CrossRef]
  5. R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999). [CrossRef]
  6. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Bräuer, and U. Peschel, Phys. Rev. Lett. 96, 023901 (2006). [CrossRef]
  7. F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, and S. Longhi, Phys. Rev. Lett. 102, 076802 (2009). [CrossRef]
  8. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, Phys. Rev. Lett. 96, 243901 (2006). [CrossRef]
  9. A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, Nat. Phys. 5, 271 (2009). [CrossRef]
  10. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008). [CrossRef]
  11. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007). [CrossRef]
  12. S. Longhi, J. Phys. B 44, 051001 (2011). [CrossRef]
  13. S. Longhi and G. Della Valle, Phys. Rev. B 84, 155101 (2011). [CrossRef]
  14. D. O. Krimer and R. Khomeriki, Phys. Rev. A 84, 041807 (2011). [CrossRef]
  15. S. Longhi, Opt. Lett. 36, 3248 (2011). [CrossRef]
  16. S. Longhi and G. Della Valle, Opt. Lett. 36, 4743 (2011). [CrossRef]
  17. J. Leinaas and J. Myrheim, Nuovo Cimento B 37, 1 (1977). [CrossRef]
  18. F. Wilczek, Phys. Rev. Lett. 49, 957 (1982). [CrossRef]
  19. F. D. M. Haldane, Phys. Rev. Lett. 67, 937 (1991). [CrossRef]
  20. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, 1990).
  21. K. Shtengel, Physics 3, 93 (2010). [CrossRef]
  22. C. Vitoriano and M. D. Coutinho-Filho, Phys. Rev. Lett. 102, 146404 (2009). [CrossRef]
  23. T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, Nat. Commun. 2, 361 (2011). [CrossRef]

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