Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics

D. Pierangeli; M. Flammini; L. Zhang; G. Marcucci; A. J. Agranat; P. G. Grinevich; P. M. Santini; C. Conti; E. Delre

doi:10.1109/CLEOE-EQEC.2019.8872344

Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics

D. Pierangeli, M. Flammini, L. Zhang, G. Marcucci, A. J. Agranat, P. G. Grinevich, P. M. Santini, C. Conti, E. Delre

Department of Applied Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Celebrated as the Fermi-Pasta-Ulam-Tsingou (FPUT) problem, the reappearance of initial conditions in unstable and chaotic systems is one of the most controversial phenomena in nonlinear dynamics. Integrable models predict recurrence as exact solutions [1], but the difficulties involved in upholding integrability for a long dynamics has not allowed a quantitative experimental validation. Evidences of the recurrence of states have been reported from deep water waves [2] to optical fibers [3]. However, the observation of the FPUT dynamics as predicted by exact solutions of an underlying integrable model remains an open challenge. Here, we report the observation of the FPUT recurrence in spatial nonlinear optics and provide evidence that the recurrent behavior is ruled by the exact solution of the Nonlinear Schrodinger Equation [4].

Original language	English
Title of host publication	2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728104690
DOIs	https://doi.org/10.1109/CLEOE-EQEC.2019.8872344
State	Published - Jun 2019
Event	2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 - Munich, Germany Duration: 23 Jun 2019 → 27 Jun 2019

Publication series

Name	2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

Conference

Conference	2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
Country/Territory	Germany
City	Munich
Period	23/06/19 → 27/06/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

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10.1109/CLEOE-EQEC.2019.8872344

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Pierangeli, D., Flammini, M., Zhang, L., Marcucci, G., Agranat, A. J., Grinevich, P. G., Santini, P. M., Conti, C., & Delre, E. (2019). Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics. In 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 Article 8872344 (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CLEOE-EQEC.2019.8872344

Pierangeli, D. ; Flammini, M. ; Zhang, L. et al. / Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics. 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

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abstract = "Celebrated as the Fermi-Pasta-Ulam-Tsingou (FPUT) problem, the reappearance of initial conditions in unstable and chaotic systems is one of the most controversial phenomena in nonlinear dynamics. Integrable models predict recurrence as exact solutions [1], but the difficulties involved in upholding integrability for a long dynamics has not allowed a quantitative experimental validation. Evidences of the recurrence of states have been reported from deep water waves [2] to optical fibers [3]. However, the observation of the FPUT dynamics as predicted by exact solutions of an underlying integrable model remains an open challenge. Here, we report the observation of the FPUT recurrence in spatial nonlinear optics and provide evidence that the recurrent behavior is ruled by the exact solution of the Nonlinear Schrodinger Equation [4].",

author = "D. Pierangeli and M. Flammini and L. Zhang and G. Marcucci and Agranat, {A. J.} and Grinevich, {P. G.} and Santini, {P. M.} and C. Conti and E. Delre",

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Pierangeli, D, Flammini, M, Zhang, L, Marcucci, G, Agranat, AJ, Grinevich, PG, Santini, PM, Conti, C & Delre, E 2019, Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics. in 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019., 8872344, 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, Institute of Electrical and Electronics Engineers Inc., 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, Munich, Germany, 23/06/19. https://doi.org/10.1109/CLEOE-EQEC.2019.8872344

Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics. / Pierangeli, D.; Flammini, M.; Zhang, L. et al.
2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8872344 (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Flammini, M.

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AU - Grinevich, P. G.

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AU - Conti, C.

AU - Delre, E.

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AB - Celebrated as the Fermi-Pasta-Ulam-Tsingou (FPUT) problem, the reappearance of initial conditions in unstable and chaotic systems is one of the most controversial phenomena in nonlinear dynamics. Integrable models predict recurrence as exact solutions [1], but the difficulties involved in upholding integrability for a long dynamics has not allowed a quantitative experimental validation. Evidences of the recurrence of states have been reported from deep water waves [2] to optical fibers [3]. However, the observation of the FPUT dynamics as predicted by exact solutions of an underlying integrable model remains an open challenge. Here, we report the observation of the FPUT recurrence in spatial nonlinear optics and provide evidence that the recurrent behavior is ruled by the exact solution of the Nonlinear Schrodinger Equation [4].

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Pierangeli D, Flammini M, Zhang L, Marcucci G, Agranat AJ, Grinevich PG et al. Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics. In 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8872344. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019). doi: 10.1109/CLEOE-EQEC.2019.8872344

Fermi-pasta-ulam-tsingou recurrence in spatial optical dynamics

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