Condensed Matter Physics, 2013, vol. 16, No. 2, 23701:1-9
DOI:10.5488/CMP.16.23701           arXiv:1307.3866

Title: On thermodynamic states of the Ising model on scale-free graphs
  D. Blackmore (The New Jersey Institute of Technology, University Heights, Newark, NJ 07-102, USA)
  A. Prykarpatsky (AGH University of Science and Technology, Krakow, 30-059, Poland; The Ivan Franko State Pedagogical University, Drohobych, Ukraine)

A new exactly solvable spatially one-dimensional quantum superradiance model describing a charged fermionic medium interacting with external electromagnetic field is proposed. The infinite hierarchy of quantuum conservation laws and many-particle Bethe eigenstates that model quantum solitonic impulse structures are constructed. The Hamilton operator renormalization procedure subject to a physically stable vacuum is described, the quantum excitations and quantum solitons, related with the thermodynamical equilibrity of the model, are discussed.

Key words: charged fermionic medium, quantum superradiance model, Bethe eigenstates, quantum solitons, renormalization, conservation laws, quantum inverse spectral problem, Yang-Baxter identity
PACS: 73.21.Fg, 73.63.Hs, 73.50.Fq, 78.67.De

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