A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and properties of its quantum solitonic states

Abstract

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.

Keywords

• charged fermionic medium
• quantum superradiance model
• Bethe eigenstates
• quantum solitons
• renormalization
• conservation laws
• quantum inverse spectral problem
• Yang-Baxter identity