Discrete quantum breathers: What do we know about them?

DOI10.1063/1.1541151zbMath1080.82557OpenAlexW1981069626WikidataQ73458588 ScholiaQ73458588MaRDI QIDQ5706377

V. Fleurov

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1541151

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

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Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Quantum lattice solitons
• The quantum theory of local modes in a coupled system of nonlinear oscillators
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Binding energies for discrete nonlinear Schrödinger equations
• Quantum chaology in the discrete self-trapping equation in the presence of Arnold diffusion

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