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<p>We introduce a generalized two-mode vacuum state (GTMVS) that bridges the gap between the two-mode squeezed vacuum state (TMSVS) and the normal two-mode vacuum state (NTMVS). This state is generated by applying a bosonic exponential quadratic operator (BEQO) to the NTMVS, whose properties are tunable via two parameters: λ (squeezing strength) and θ (beam splitter-like mixing). Fidelity analysis confirms its continuous transition between these limiting cases. While GTMVS exhibits weaker yet tunable quadrature squeezing compared to TMSVS, it retains strong photon correlations and displays super-Poissonian statistics. Entanglement, quantified by linear entropy, is widely adjustable with tunable near-maximal values or degraded near-separability, extending beyond the static entanglement range of TMSVS. The GTMVS provides a framework for quantum correlation manipulation, with potential applications in quantum metrology and sensing where tunable nonclassicality and noise resilience are critical.</p>

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New Tunable Nonclassical Correlations in a Generalized Two-Mode Vacuum State via a Bosonic Exponential Quadratic Operator

  • 期刊论文

  • 发表日期：

    2026年5月4日

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  • Gang Ren

摘要

We introduce a generalized two-mode vacuum state (GTMVS) that bridges the gap between the two-mode squeezed vacuum state (TMSVS) and the normal two-mode vacuum state (NTMVS). This state is generated by applying a bosonic exponential quadratic operator (BEQO) to the NTMVS, whose properties are tunable via two parameters: λ (squeezing strength) and θ (beam splitter-like mixing). Fidelity analysis confirms its continuous transition between these limiting cases. While GTMVS exhibits weaker yet tunable quadrature squeezing compared to TMSVS, it retains strong photon correlations and displays super-Poissonian statistics. Entanglement, quantified by linear entropy, is widely adjustable with tunable near-maximal values or degraded near-separability, extending beyond the static entanglement range of TMSVS. The GTMVS provides a framework for quantum correlation manipulation, with potential applications in quantum metrology and sensing where tunable nonclassicality and noise resilience are critical.