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Physica A Statistical Mechanics and its Applications

Quantum correlation, entanglement in the kagome lattice non-Hermitian quantum systems

L.S. Lima

Published Jul 14, 2024• 5 citations
Publisher
DOI
10.1016/j.physa.2024.129954

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We investigate the dynamical lattice behavior of ultracold bosonic atoms loaded into an optical lattice with two-body dissipation. In the Mott insulating limit, the resulting system can emulate a variety of spin-1/2 non-Hermitian Heisenberg models such as the non-Hermitian Ising, XX, and XXZ models. These different spin models are implemented by tuning the parameter spaces of the hopping amplitude, the loss rates of atoms, and on-site interaction of strength. Moreover, utilizing the improved non-Hermitian density-matrix renormalization group (NH-DMRG) algorithm, we present the correlation functions, Bell nonlocality (B)(\mathcal{B})(B), and quantum Fisher information (QFI) of the non-Hermitian spin systems, where the QFI inversion and order-of-magnitude reduction demonstrate a high sensitivity to the non-Hermitian system parameters. In addition, there exists a parameter space where non-Hermitian and Hermitian systems exhibit the same phase transition behavior as indicated by QFI and B\mathcal{B}B. Our results open a new avenue toward the quantum simulation and observation of non-Hermitian many-body systems.