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Related Experiment Videos

Discrete quantum breathers: what do we know about them?

V Fleurov1

  • 1Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel. fleurov@post.tau.ac.il

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

This review summarizes two decades of research on discrete quantum breathers. It details their properties, distinguishing them from extended vibrational modes and presenting the current understanding of their key features.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Nonlinear Dynamics

Background:

  • Discrete quantum breathers (DQBs) are localized nonlinear excitations in discrete nonlinear systems.
  • Understanding DQBs is crucial for nonlinear physics and quantum chaos.
  • The field has evolved significantly over the past two decades.

Purpose of the Study:

  • To provide a comprehensive review of the knowledge accumulated on discrete quantum breathers.
  • To outline the historical development and fundamental properties of DQBs.
  • To present the current state-of-the-art understanding of DQB features.

Main Methods:

  • Literature review of research over the last 20 years.
  • Analysis of theoretical and numerical studies on DQBs.

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  • Comparison of localized and extended vibrational modes.

    • Main Results:

    • Detailed description of the
    • prehistory
    • and evolution of DQB research.
    • Elucidation of key properties that differentiate localized DQBs from extended vibrational modes.
    • Presentation of the current understanding of the principal features of DQBs.

    Conclusions:

    • Significant progress has been made in understanding discrete quantum breathers.
    • The review consolidates existing knowledge and highlights key characteristics of DQBs.
    • Further research is expected to build upon this established foundation.