English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider a finite one-dimensional Heisenberg XYZ spin chain under theinfluence of dissipative Lindblad environment obeying the Born-Markovianconstrain in presence of an external magnetic field. We apply both closed andopen boundary conditions at zero and finite temperature. We present an exactnumerical solution for the Lindblad master equation of the system in theLiouville space. we find that, in the free spin chain (in absence of anyenvironment), the entanglement at all ranges evolve in time in a non-uniformoscillatory form that changes significantly depending on the initial state,system size and the spatial anisotropy. The oscillatory behavior is suppressedonce the system is coupled to the environment. Furthermore, the asymptoticbehavior of the entanglement, nearest neighbor and beyond, in the system underthe influence of the environment at zero temperature is very sensitive to thex-y spatial anisotropy, which causes them to reach either a zero or a finitesustainable steady state value regardless of the initial state of the system.The anisotropy in the $z-$direction may enhance the entanglement depending onthe interplay with the magnetic field applied in the same direction. As thetemperature is raised, the steady state of the short range entanglements isfound to be robust within very small non-zero temperature range, which dependscritically on the spatial anisotropy of the system. The entanglement at eachrange depends differently on the spatial anisotropy. Moreover, the end to endentanglement transfer time and speed through the open boundary chain varysignificantly based on the degree of anisotropy and the temperature of theenvironment.

Entanglement robustness in Heisenberg spin chains coupled to dissipative environment at finite temperature