发表机构
Peking University; Hefei National Laboratory; The Pennsylvania State University; Beijing University of Posts and Telecommunications; Shanxi University（北京大学; 合肥国家实验室; 宾夕法尼亚州立大学; 北京邮电大学; 山西大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究耗散玻色子二聚体的渐近纠缠，利用非厄米动力学谱分析稳定与不稳定区域的纠缠特性，揭示动力学不稳定性下对数负性有界，明确局域损耗与公共热库对渐近纠缠的调控机制。
AI 中文摘要
参数驱动玻色子系统中的动力学不稳定性通常与粒子数发散和不存在稳态相关，但其对长时间纠缠的影响仍不明确。我们研究具有分束器、双模压缩相互作用、局域损耗及可调公共热库的耗散玻色子二聚体中的这一问题。描述高斯矩的非厄米动力学谱将参数空间划分为不同区域，为稳定与不稳定区域的粒子数及纠缠动力学提供统一描述。我们发现动力学不稳定性并不意味着纠缠无界增长：尽管玻色子粒子数发散，但对数负性仍有界并趋近有限渐近值。我们进一步表征有限渐近纠缠，证明不对称局域损耗会同时改变稳定边界与非零渐近纠缠的阈值。对于相同局域损耗，公共热库的存在不改变动力学区域边界，但会从本质上重塑长时间纠缠图景，在稳定区域产生宽增强区，在不稳定区域产生窄增强区。在仅含公共热库的极限下，该增强源于精确暗模（连续介质中的束缚态，BIC）保护机制，在独立损耗下则退化为准-BIC残余。我们的结果确立非厄米动力学谱为连接开放二次玻色子系统的稳定性、非平衡动力学与渐近纠缠的框架。
英文摘要
Dynamical instability in parametrically driven bosonic systems is generally associated with diverging occupations and the absence of a stationary state, but its implications for long-time entanglement remain unclear. We investigate this question in a dissipative bosonic dimer with beam-splitter and two-mode-squeezing interactions, local loss, and a tunable common bath. The non-Hermitian dynamical spectrum governing the Gaussian moments partitions the parameter space into distinct regimes and provides a unified description of population and entanglement dynamics across both stable and unstable regions. We find that dynamical instability does not imply unbounded entanglement growth: although the bosonic population diverges, the logarithmic negativity remains bounded and approaches a finite asymptotic value. We further characterize the finite asymptotic entanglement and show that asymmetric local dissipation shifts both the stability boundary and the threshold for nonzero asymptotic entanglement. For identical local dissipation, the presence of a common bath leaves the dynamical-region boundaries unchanged while qualitatively reshaping the long-time entanglement landscape, producing broad enhancement regions within the stable regimes and a narrow enhancement region within the unstable regime. In the common-bath-only limit, this enhancement is attributed to an exact dark-mode (bound-state-in-the-continuum, BIC) protection mechanism, which reduces to a quasi-BIC remnant under independent dissipation. Our results establish the non-Hermitian dynamical spectrum as a framework for connecting stability, nonequilibrium dynamics, and asymptotic entanglement in open quadratic bosonic systems.
Comments31 pages, 8 figures
