Squeezed number eigenstate of XYZ Heisenberg antiferromagnetics under an magnetic field

TL;DR

This paper investigates the quantum properties of the XYZ Heisenberg antiferromagnetic model under a magnetic field, revealing that its energy eigenstates are squeezed number states and exploring their connection to coupled harmonic oscillators.

Contribution

It introduces an algebraic diagonalization approach to analyze the model, identifying squeezed number states as eigenstates and deriving energy eigenvalues in specific cases.

Findings

Energy eigenstates are squeezed number states.

Derived energy eigenvalues for certain cases.

Explored connection to two-mode coupled oscillators.

Abstract

By using an algebraic diagonalization method, the XYZ Heisenberg antiferromagnetics under an external magnetic field is studied in the framework of spin-wave theory. The energy eigenstates are shown to be squeezed number states and the energy eigenvalues are obtained in some cases. Some quantum properties of the energy eigenstates, and the connection of the model with the two-mode coupled harmonic oscillators are also discussed.