发表机构
Raman Research Institute（拉曼研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在Gross-Pitaevskii框架下，通过随机重置驱动弱排斥玻色-爱因斯坦凝聚体至非平衡稳态，解析得到密度、边缘及计数统计，揭示了内禀排斥与动态涌现关联的共存。
AI 中文摘要
随机重置可以通过共享的涨落环境在多体系统中产生强关联。在这里，我们研究了在Gross-Pitaevskii框架内描述的弱排斥玻色-爱因斯坦凝聚体中，这种动态涌现关联（DEC）如何与内禀（直接）相互作用共存。凝聚体从初始的Thomas-Fermi态自由膨胀，并以恒定速率随机重置到该初始态。我们证明，重置协议将系统驱动到一个独特的非平衡稳态，并解析地获得了其密度分布、边缘统计和完全计数统计。稳态密度在核心区域保持倒抛物线形式，而在外部则发展出指数衰减的尾部。我们进一步表明，重置诱导了凝聚体边缘和粒子数的非平凡涨落，得到了边缘分布和完全计数统计的精确标度形式。我们的结果为探索量子多体系统中内禀排斥相互作用与由共同随机环境产生的吸引性DEC之间的相互作用提供了一个易于处理的设置。
英文摘要
Stochastic resetting can generate strong correlations in many-body systems through a shared fluctuating environment. Here, we investigate how such dynamically emergent correlations (DEC) coexist with intrinsic (direct) interactions in a weakly repulsive Bose-Einstein condensate described within the Gross-Pitaevskii framework. The condensate undergoes free expansion from an initial Thomas-Fermi state and is stochastically reset to this initial state at a constant rate. We show that the resetting protocol drives the system into a unique nonequilibrium steady state and obtain its density profile, edge statistics, and full counting statistics analytically. The steady-state density retains an inverted-parabolic form within the core, while developing exponentially decaying tails outside it. We further show that resetting induces nontrivial fluctuations of the condensate edge and particle number, yielding exact scaling forms for the edge distribution and the full counting statistics. Our results provide a tractable setting for exploring the interplay between intrinsic repulsive interactions and attractive DEC generated by a common stochastic environment in quantum many-body systems.
Comments34 pages, 7 figures
