Work

Covariance-based method for eigenstate factorization and generalized singlets

Year: 2024

Type: article

Abstract: We derive a general method for determining the necessary and sufficient conditions for exact factorization $|\mathrm{\ensuremath{\Psi}}\ensuremath{\rangle}={\ensuremath{\bigotimes}}_{p}|{\ensuremath{\psi}}_{p}\ensuremath{\rangle}$ of an eigenstate of a many-body Hamiltonian $H$, based on the quantum covariance matrix of the relevant local operators building the Hamiltonian. The ``site'' $p$ can be either a single component or a group of subsystems. The formalism is then used to derive exact dimerization and clusterization conditions in spin systems, covering from spin-$s$ singlets and clusters coupled to 0 total spin, to general nonmaximally entangled spin-$s$ dimers (generalized singlets). New results for field-induced dimerization in anisotropic $XYZ$ arrays under a magnetic field are obtained.

Source: Physical Review A

DOI: 10.1103/physreva.110.052213

Authors: Federico Petrovich, R. Rossignoli, N. Canosa

Institutions: Instituto de Física La Plata, Universidad Nacional de La Plata, Comisión de Investigaciones Científicas

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Consejo Nacional de Investigaciones Científicas y Técnicas

Award: G4710856220