论文标题
大型铁磁$ f = 1 $纺纱玻璃纤维凝结物中的内在脱碳和复发
Intrinsic decoherence and recurrences in a large ferromagnetic $F = 1$ spinor Bose-Einstein condensate
论文作者
论文摘要
复发的变形出现在$ f = 1 $的单体密度矩阵的动力学中,最初在相干状态下,在外部均匀磁场的情况下并且在单个模式近似中。这种现象是二次zeeman效应的相互作用的多体效应,它破坏了旋转对称性和自旋旋转相互作用。通过执行全量子对角线化,分析了大型冷凝水的准确时间演变,从而导致在弱且强的相互作用方案中,对于初始相干状态,一体密度矩阵的时间依赖性启发式分析表达式。我们能够在原子和强度参数的数量方面找到对解相关和复发时间的准确分析表达式,这取决于自旋旋转相互作用的强度,它们的差异显着。还研究了两个政权中固定状态的特征。我们根据热力学极限讨论这些极限的性质。
Decoherence with recurrences appear in the dynamics of the one-body density matrix of an $F = 1$ spinor Bose-Einstein condensate, initially prepared in coherent states, in the presence of an external uniform magnetic field and within the single mode approximation. The phenomenon emerges as a many-body effect of the interplay of the quadratic Zeeman effect, that breaks the rotational symmetry, and the spin-spin interactions. By performing full quantum diagonalizations very accurate time evolution of large condensates are analyzed, leading to heuristic analytic expressions for the time dependence of the one-body density matrix, in the weak and strong interacting regimes, for initial coherent states. We are able to find accurate analytical expressions for both the decoherence and the recurrence times, in terms of the number of atoms and strength parameters, that show remarkable differences depending on the strength of the spin-spin interactions. The features of the stationary states in both regimes is also investigated. We discuss the nature of these limits in the light of the thermodynamic limit.