Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing and Entanglement

TL;DR

This paper investigates how modifications in spin Hamilton operators based on the Pauli group affect entanglement and energy level crossings, revealing that swapping interaction terms can induce entanglement and change crossing types.

Contribution

It demonstrates the impact of swapping interaction terms in spin Hamiltonians on entanglement properties and energy level crossing behavior.

Findings

Swapping interaction terms can generate entanglement in eigenstates.

Changing interaction terms can convert energy level crossings into avoided crossings.

The study links symmetry operations to spectral and entanglement phenomena.

Abstract

We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.