Quantum entanglement in a mixed-spin trimer: Effects of a magnetic field and heterogeneous g factors

Mixed spin-(1/2,1/2,1) trimer with two different Landé <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>g</a:mi></a:math> factors and two different exchange couplings is considered. The main feature of the model is nonconserving magnetization. The Hamiltonian of the system is diagonalized analytically. We presented a detailed analysis of the ground-state properties, revealing several possible ground-state phase diagrams and magnetization profiles. The main focus is on how nonconserving magnetization affects quantum entanglement. We have found that nonconserving magnetization can bring a continuous dependence of the entanglement quantifying parameter (negativity) on the magnetic field within the same eigenstate, while for the case of uniform <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mi>g</b:mi></b:math> factors it is a constant. The main result is an essential enhancement of the entanglement in the case of uniform couplings for one pair of spins caused by an arbitrary small difference in the values of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mi>g</c:mi></c:math> factors. This enhancement is robust and brings almost a sevenfold increase of the negativity. We have also found a weakening of entanglement for other cases. Thus, nonconserving magnetization offers a broad opportunity to manipulate the entanglement by means of a magnetic field. Published by the American Physical Society 2024