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Quantum correlations and coherence in a two-qubit anisotropic XY under magnetic field

Abstract

We study thermal quantum correlations and coherence in Heisenberg XY model with anisotropic interactions under a uniform magnetic field B . Using concurrence C, local quantum uncertainty (LQU), Bell-Clauser-Horne-Shimony-Holt (CHSH) nonlocality B, and coherence C_l as quantifiers, we analyze how magnetic anisotropy δ_m , coupling anisotropy δ_c , Dzyaloshinskii-Moriya (DM) interaction D , temperature T , and magnetic field B modulate quantum resources. At low temperatures and relevant magnetic fields, the entanglement is maximized, but exhibits sudden death for δ_m = 0 , which turns into a smooth decay as δ_m increases, highlighting its stabilizing role. LQU shows that stronger anisotropy suppresses quantum correlations, while B induces a non-monotonic response peaking at a critical field B_c . Bell-CHSH nonlocality violations ( B > 2 ) persist below B_c , but thermal noise ( T ≥ 1 ) suppresses them. Coherence C_l is most robust to thermal fluctuations, especially for high δ_m , which also dampens abrupt quantum phase transitions. The DM interaction is essential for entanglement generation, with D and anisotropy synergistically enhancing correlation resilience. We identify a hierarchy of thermal degradation: nonlocality ( B ) vanishes first, followed by entanglement ( C ), then general quantum correlations (LQU), while coherence C_l persists the longest. These results demonstrate tunable control of quantum resources via anisotropy and external parameters, providing insights for the design of robust spin-based quantum technologies.

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