ОBSERVATION OF FERMI-PASTA-ULAM-TSINGOU RECURRENCE IN OPTICAL EXPERIMENT

Authors

D. Pierangeli International Collaborative Laboratory of 2D Materials for Optoelectronic Science & Technology, Key Laboratory of Optoelectronic Devices and Systems of Ministry of Education and Guangdong Province, College of Optoelectronic Engineering; Dipartimento di Fisica, Università di Roma «La Sapienza»; ISC-CNR, Università di Roma “La Sapienza’’
M. Flammini Dipartimento di Fisica, Università di Roma «La Sapienza»
G. Marcucci Dipartimento di Fisica, Università di Roma «La Sapienza»; ISC-CNR, Università di Roma "La Sapienza"
A. J. Agranat Applied Physics Department, Hebrew University of Jerusalem
P. G. Grinevich L.D. Landau Institute for Theoretical Physics
P. M. Santini Dipartimento di Fisica, Università di Roma «La Sapienza»; INFN-Istituto Nazionale di Fisica Nucleare, Sezione di Rom
C. Conti Dipartimento di Fisica, Università di Roma «La Sapienza»; ISC-CNR, Università di Roma "La Sapienza"
E. DelRe Dipartimento di Fisica, Università di Roma «La Sapienza»; ISC-CNR, Università di Roma "La Sapienza"

DOI:

https://doi.org/10.29006/1564-2291.JOR-2019.47(1).32

Keywords:

focusing Nonlnear Schrodinger Equation, periodic Cauchy problem, anomalous (rogue) waves, Fermi-Pasta-Ulam-Tsingou recurrence, optical experiment, photorefractive crystal

Abstract

Recently P.G. Grinevich and P.M. Santini suggested simple approximate formulas for solving periodic Cauchy problem for the focusing Nonlnear Schrodinger Equation (NLS) under assumption that one starts from a small perturbation of the unstable condensate and the number of unstable modes is not too large. With the help of these results, optical experiments in photorefractive crystal where conducted, in which the second and third return of anomalous waves was observed. A good agreement between the experimental data and the predictions made on the basis of the NLS theory was obtained.
P.G. Grinevich was supported by the Russian Science Foundation grant No. 18-11-00316.

References

Pierangeli D., Flammini M., Zhang L., Marcucci G., Agranat A.J., Grinevich P.G., Santini P.M., Conti C., and DelRe E. Observation of Fermi-Pasta-Ulam-Tsingou recurrence and its exact dynamics. Physical Review X, 2018, Vol. 8, No. 4, pр. 041017 (9 pages), doi:org/10.1103/ PhysRevX.8.041017.