均场玻色动力学中波动的指数集中
Exponential concentration of fluctuations in mean-field boson dynamics
AI总结：
该研究证明了均场玻色动力学中，脱离凝聚态粒子数的概率随粒子数指数衰减，改进了对激发态概率的控制界限。
摘要：
我们研究了一个由N个相互作用的玻色子组成的系统，初始状态为凝聚态。对于广泛类别的均场哈密顿量，包括具有任意有界相互作用和无界相互作用势模型，我们证明了在任意有限演化时间内，有n个粒子脱离凝聚态的概率随n指数衰减。我们的结果加强了之前已知的界限，这些界限仅提供对n个激发态概率的多项式控制。
英文摘要：
We study the mean-field dynamics of a system of $N$ interacting bosons starting from an initially condensated state. For a broad class of mean-field Hamiltonians, including models with arbitrary bounded interactions and models with unbounded interaction potentials, we prove that the probability of having $n$ particles outside the condensate decays exponentially in $n$ for any finite evolution time. Our results strengthen previously known bounds that provide only polynomial control on the probability of having $n$ excitations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
