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

TL;DR

This paper introduces an exactly solvable one-dimensional quantum superradiance model for a charged fermionic medium interacting with electromagnetic fields, revealing quantum solitonic states and conservation laws.

Contribution

It presents a novel exactly solvable model with a new Hamiltonian renormalization approach and constructs quantum solitonic states and conservation laws.

Findings

Construction of quantum solitonic impulse structures

Identification of quantum conservation laws

Development of Hamiltonian renormalization procedure

Abstract

A new exactly solvable spatially one-dimensional quantum superradiance model describing a charged fermionic medium interacting with an external electromagnetic field is proposed. The infinite hierarchy of quantum 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 to the thermodynamical equilibrity of the model, are discussed.