Free Fermionic and Parafermionic Quantum chains

• Grant number: 24/05981-4
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2024
• End date: August 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Francisco Castilho Alcaraz
• Grantee: Francisco Castilho Alcaraz
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

We recently introduced two general families of multispin quantum Hamiltomians with a free particle spectrum. One of the families with Z(N) symmetry and the other with U(1). The spectrum ofand such models are described by fermionic and parafermionic degrees of freedom. One of the objectives of this project is the studyof their quantum entanglement properties. Such a study would provide results for theunderstanding of the entanglement entropies in non-Hermitian and non-conformally invariant quantum Hamiltonians. We also intended to produce a method, which allows us, in general, produce XX equivalents models (with anisotropic couplings), to Hamiltonians with arbitrary spectrum (interacting or not). The properties of entanglements in the related models will be compared. We will also will study the entanglement properties of the disordered parafermionic Baxter quantum chain at criticality. (AU)