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Noisy sine-Gordon breather dynamics: A short review

Author

Listed:
  • De Santis, Duilio
  • Valenti, Davide
  • Spagnolo, Bernardo
  • Di Fresco, Giovanni
  • Carollo, Angelo
  • Guarcello, Claudio

Abstract

The aim of this review is to address recent developments in the emergence and dynamics of sine-Gordon (SG) breathers under dissipation, external drives, and environmental noise. We then discuss various strategies for breather detection in a specific physical platform: the long Josephson junction (LJJ). We note that our findings rely on a rather general SG framework, whose importance extends well beyond the scope of Josephson electronics. While the results hold significance in contexts involving nonequilibrium and collective phenomena, we also emphasize their connection to the Josephson world, as they provide direct insights relevant to that domain.

Suggested Citation

  • De Santis, Duilio & Valenti, Davide & Spagnolo, Bernardo & Di Fresco, Giovanni & Carollo, Angelo & Guarcello, Claudio, 2025. "Noisy sine-Gordon breather dynamics: A short review," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s096007792500654x
    DOI: 10.1016/j.chaos.2025.116641
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    References listed on IDEAS

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    1. De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2022. "Generation of travelling sine-Gordon breathers in noisy long Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. A. L. Pankratov & A. V. Gordeeva & A. V. Chiginev & L. S. Revin & A. V. Blagodatkin & N. Crescini & L. S. Kuzmin, 2025. "Detection of single-mode thermal microwave photons using an underdamped Josephson junction," Nature Communications, Nature, vol. 16(1), pages 1-9, December.
    3. A. Wallraff & A. Lukashenko & J. Lisenfeld & A. Kemp & M. V. Fistul & Y. Koval & A. V. Ustinov, 2003. "Quantum dynamics of a single vortex," Nature, Nature, vol. 425(6954), pages 155-158, September.
    4. De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2023. "Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. Maria José Martínez-Pérez & Francesco Giazotto, 2014. "A quantum diffractor for thermal flux," Nature Communications, Nature, vol. 5(1), pages 1-6, May.
    6. De Santis, Duilio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide & Guarcello, Claudio, 2024. "Heat-transfer fingerprint of Josephson breathers," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    7. A. L. Pankratov & A. V. Gordeeva & A. V. Chiginev & L. S. Revin & A. V. Blagodatkin & N. Crescini & L. S. Kuzmin, 2025. "Author Correction: Detection of single-mode thermal microwave photons using an underdamped Josephson junction," Nature Communications, Nature, vol. 16(1), pages 1-2, December.
    8. D. Gulevich & M. Gaifullin & F. Kusmartsev, 2012. "Controlled dynamics of sine-Gordon breather in long Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(1), pages 1-5, January.
    9. De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2023. "Ac-locking of thermally-induced sine-Gordon breathers," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    10. G. Augello & D. Valenti & A. L. Pankratov & B. Spagnolo, 2009. "Lifetime of the superconductive state in short and long Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 145-151, July.
    11. Di Fresco, Giovanni & De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2024. "Effects of correlated noise on the excitation of robust breathers in an ac-driven, lossy sine–Gordon system," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    12. Francesco Giazotto & María José Martínez-Pérez, 2012. "The Josephson heat interferometer," Nature, Nature, vol. 492(7429), pages 401-405, December.
    13. Thomas Schweigler & Valentin Kasper & Sebastian Erne & Igor Mazets & Bernhard Rauer & Federica Cataldini & Tim Langen & Thomas Gasenzer & Jürgen Berges & Jörg Schmiedmayer, 2017. "Experimental characterization of a quantum many-body system via higher-order correlations," Nature, Nature, vol. 545(7654), pages 323-326, May.
    14. Jonas Veenstra & Oleksandr Gamayun & Xiaofei Guo & Anahita Sarvi & Chris Ventura Meinersen & Corentin Coulais, 2024. "Non-reciprocal topological solitons in active metamaterials," Nature, Nature, vol. 627(8004), pages 528-533, March.
    15. Guarcello, C., 2021. "Lévy noise effects on Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    16. Bastrakova, M.V. & Pashin, D.S. & Pikunov, P.V. & Soloviev, I.I. & Schegolev, A.E. & Klenov, N.V., 2025. "Josephson “flying qubit” revival: Flux-based control optimization," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    17. Guarcello, Claudio & Filatrella, Giovanni & De Santis, Duilio & Spagnolo, Bernardo & Valenti, Davide, 2024. "Lévy noise-induced effects in a long Josephson junction in the presence of two different spatial noise distributions," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
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