Work

Quantum Heisenberg Spin Chains with Inversely Linear Correlated Disorder: Localization Effects and State Transfer Protocols

Year: 2025

Type: article

Abstract: In this work, we investigate the effects of correlated disorder on the quantum Heisenberg spin chain. The exchange couplings between adjacent spins are modeled as a disordered distribution with inverse linear correlation function controlled by a parameter 𝛾. The Cholesky decomposition method is employed to generate the spin-spin coupling that adheres to this correlation structure. By analyzing the autocorrelation function, we observe the influence of the correlation parameter 𝛾 on the decay behavior of the autocorrelation. Furthermore, we study the eigenstates of the Hamiltonian in the one-magnon subspace and calculate the density of states and the participation ratio, providing insights into the localization properties of the system. Our findings suggest that introducing correlated disorder significantly alters the physical properties of the spin chain, which could have implications for understanding disordered quantum systems and developing state transfer protocols with reasonable fidelity.

Source: Anais da Academia Brasileira de Ciências

DOI: 10.1590/0001-3765202520241047

Authors: MARCONI SILVA SANTOS JUNIOR, MESSIAS DE OLIVEIRA SALES, GUILHERME M.A. ALMEIDA, FRANCISCO ANACLETO BARROS FIDELIS DE MOURA

Institutions: Universidade Federal de Alagoas, Instituto Federal do Maranhão

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Fundação de Amparo à Pesquisa do Estado de Alagoas, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Financiadora de Estudos e Projetos, Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco

OpenAlex ID: W4409232372

FWCI:

Cites: 29

Cited by:

Related to: 10