Thermal entanglement in $2\otimes 3$ Heisenberg chains via distance between states

Abstract

Most of the work involving entanglement measurement focuses on systems that can be modeled by two interacting qubits. This is due to the fact that there are few studies presenting entanglement analytical calculations in systems with spins $s>1/2$. In this paper we present for the first time an analytical way of calculating thermal entanglement in a dimension $2\otimes 3$ Heisenberg chain through the distance between states. We use the Hilbert-Schmidt norm to obtain entanglement. The result obtained can be used to calculate entanglement in chains with spin-$1/2$ coupling with spin-$1$, such as ferrimagnetic compounds as well as compounds with dimer-trimer coupling.

References in corpus (9)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantifying Entanglement
• A Spin Entanglement Witness for Quantum Gravity
• Measuring multipartite entanglement via dynamic susceptibilities
• Entangled Quantum States of Magnetic Dipoles
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Witnessing entanglement in quantum magnets using neutron scattering
• Thermal Entanglement in Ferrimagnetic Chains
• SL-invariant entanglement measures in higher dimensions: the case of spin $1$ and $3/2$