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

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Hauptverfasser: Adamyan, Zhirayr, Ohanyan, Vadim
Format: Preprint
Veröffentlicht: 2024
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author Adamyan, Zhirayr
Ohanyan, Vadim
author_facet Adamyan, Zhirayr
Ohanyan, Vadim
contents Mixed spin-(1/2,1/2,1) trimer with two different Landé g-factors and two different exchange couplings is considered. The main feature of the model is non-conserving 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 non-conserving magnetization affects quantum entanglement. We have found that non-conserving magnetization can bring to the continuous dependence of the entanglement quantifying parameter (negativity) on magnetic field within the same eigenstate, while for the case of uniform $g$-factors it is a constant. The main result is an essential enhancement of the entanglement in case of uniform couplings for one pair of spins caused by an arbitrary small difference in the values of $g$-factors. This enhancement is robust and brings to almost 7-fold increasing of the negativity. We have also found weakening of entanglement for other cases. Thus, non-conserving magnetization offers a broad opportunity to manipulate the entanglement by means of magnetic field.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00178
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum entanglement in mixed-spin trimer: Effects of a magnetic field and heterogeneous g-factors
Adamyan, Zhirayr
Ohanyan, Vadim
Statistical Mechanics
Mixed spin-(1/2,1/2,1) trimer with two different Landé g-factors and two different exchange couplings is considered. The main feature of the model is non-conserving 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 non-conserving magnetization affects quantum entanglement. We have found that non-conserving magnetization can bring to the continuous dependence of the entanglement quantifying parameter (negativity) on magnetic field within the same eigenstate, while for the case of uniform $g$-factors it is a constant. The main result is an essential enhancement of the entanglement in case of uniform couplings for one pair of spins caused by an arbitrary small difference in the values of $g$-factors. This enhancement is robust and brings to almost 7-fold increasing of the negativity. We have also found weakening of entanglement for other cases. Thus, non-conserving magnetization offers a broad opportunity to manipulate the entanglement by means of magnetic field.
title Quantum entanglement in mixed-spin trimer: Effects of a magnetic field and heterogeneous g-factors
topic Statistical Mechanics
url https://arxiv.org/abs/2405.00178