Entanglement Negativity in Non-Hermitian $\Mathcal{Pt}$-Symmetric Models

Stable entanglement in $\mathcal{P}\mathcal{T}$ symmetric non-Hermitian double Jaynes–Cummings modelStable entanglement in $$\mathcal{P}\mathcal{T}$$ symmetric non-Hermitian double Jaynes–Cummings model

Zhu Bao-gang, Ze-kai Tian, Yi Yang +1 more

Quantum Information ProcessingJul 20, 20260 citations

Entanglement Negativity and Exceptional-Point Signatures in a PT-Symmetric Non-Hermitian XY Dimer: Parameter Regimes and Directional-Coupler Mapping

Linzhi Jiang, Weicheng Miao, Wen-Yang Sun +1 more

We investigate a non-Hermitian two-spin XY model driven by alternating real and imaginary transverse fields and derive an explicit analytic formula for the ground-state entanglement negativity. This provides a systematic analytic characterization of how ground-state entanglement behaves across PT-symmetry breaking in a non-Hermitian spin dimer. In the PT-symmetric regime, the anisotropy γ enhances entanglement, whereas the real field h0 suppresses it; in the PT-broken regime dominated by φ3, the negativity decreases monotonically with the imaginary field η0. Moreover, the first derivative of the negativity exhibits a cusp-type non-analyticity at the exceptional point (EP), consistent with the ground-state phase boundary and revealing a direct correspondence between entanglement transitions and exceptional-point physics. To facilitate implementation in integrated quantum photonics, we map h0,η0,γ onto the device parameters Δβ,g,κ of a PT-symmetric directional coupler and propose a two-qubit quantum state tomography readout based on local Pauli measurements, thereby offering a concrete entanglement-based probe of exceptional-point signatures in a realistic photonic platform. Within this model, we identify parameter regimes for observing this signature: a cusp feature is expected near Δβ≈0 and g≈κ, which remains observable under small detuning and moderate loss mismatch. These results offer a testable avenue for entanglement-based probing of PT-symmetry breaking and may inform device characterization and quantitative assessment in integrated quantum photonics. These combined advances provide both analytical insight into non-Hermitian entanglement structure and a feasible route toward experimentally diagnosing PT-symmetry breaking using entanglement.We investigate a non-Hermitian two-spin XY model driven by alternating real and imaginary transverse fields and derive an explicit analytic formula for the ground-state entanglement negativity. This provides a systematic analytic characterization of how ground-state entanglement behaves across PT-symmetry breaking in a non-Hermitian spin dimer. In the PT-symmetric regime, the anisotropy γ enhances entanglement, whereas the real field h0 suppresses it; in the PT-broken regime dominated by φ3, the negativity decreases monotonically with the imaginary field η0. Moreover, the first derivative of the negativity exhibits a cusp-type non-analyticity at the exceptional point (EP), consistent with the ground-state phase boundary and revealing a direct correspondence between entanglement transitions and exceptional-point physics. To facilitate implementation in integrated quantum photonics, we map h0,η0,γ onto the device parameters Δβ,g,κ of a PT-symmetric directional coupler and propose a two-qubit quantum state tomography readout based on local Pauli measurements, thereby offering a concrete entanglement-based probe of exceptional-point signatures in a realistic photonic platform. Within this model, we identify parameter regimes for observing this signature: a cusp feature is expected near Δβ≈0 and g≈κ, which remains observable under small detuning and moderate loss mismatch. These results offer a testable avenue for entanglement-based probing of PT-symmetry breaking and may inform device characterization and quantitative assessment in integrated quantum photonics. These combined advances provide both analytical insight into non-Hermitian entanglement structure and a feasible route toward experimentally diagnosing PT-symmetry breaking using entanglement.

PhotonicsDec 18, 20251 citation

Stable entanglement in

\mathcal{P}\mathcal{T}

symmetric non-Hermitian double Jaynes–Cummings model