Biphonons in the ß-Fermi-Pasta-Ulam model

Zoran Ivić, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


Discrete breathers or intrinsic localized modes are nonlinear localized states that appear in several classical extended systems, such as for instance the Fermi-Paste-Ulam (FPU) model. In order to probe the quantum states that correspond to discrete breathers, we quantize the ß -FPU model using boson quantization rules, retain only number conserving terms, and analyze the two-quanta sector of the model. For both attractive and repulsive nonlinearity, we find the occurrence of biphonons in two forms, on-site and nearest-neighbor site, and analyze their properties. We comment on the use of this model as a minimal model for extended molecular and biomolecular systems.

Original languageEnglish
Pages (from-to)200-206
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Issue number1 SPEC. ISS.
Publication statusPublished - Apr 1 2006


  • Biphonons
  • Discrete breathers
  • Fermi-Pasta-Ulam model
  • Quantum breathers

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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