Irreversible Hysteresis of Internal Structure of Tangle Dissipative Optical Solitons

S. V. Fedorov, N. A. Veretenov, and N. N. Rosanov
Phys. Rev. Lett. 122, 023903 – Published 18 January 2019
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Abstract

For three-dimensional tangle laser solitons that have a number of unclosed and closed vortex lines and coexist in a range of the scheme parameters, we predict irreversible hysteretic transformation of their internal structure when a system parameter slowly and regularly varies crossing the boundary of the stability of one or another soliton. During the hysteresis cycle, when restoring the initial parameter value, the soliton topology simplifies (decrease of topological indices), its field energy decreases, and the energy of the medium increases. The transient includes a series of elementary reactions: reconnection of vortex lines, separation of closed vortex loops after strong bending of a parent vortex line, and twist of unclosed vortex lines changing topological indices. During the transient, new (metastable) types of localized topological structures arise. It is shown that the tangent energy flow along closed vortex lines is unidirectional or direction alternating.

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  • Received 3 September 2018
  • Revised 16 November 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.023903

© 2019 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

S. V. Fedorov1,†, N. A. Veretenov1,2,‡, and N. N. Rosanov1,2,3,*

  • 1ITMO University, 197101 St. Petersburg, Russia
  • 2Vavilov State Optical Institute, 199034 St. Petersburg, Russia
  • 3Ioffe Institute, 194021 St. Petersburg, Russia

  • *Corresponding author. nnrosanov@mail.ru
  • sfedorov2006@bk.ru
  • torrek@gmail.com

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Issue

Vol. 122, Iss. 2 — 18 January 2019

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