一维准凝聚体分裂所做功的统计
Statistics of the work done by splitting a one-dimensional quasi-condensate
摘要：
受一维准凝聚体分裂实验的启发，我们研究了玻色子系统中量子猝灭所作功的统计特性。我们讨论的工作的概率分布的一般特征，并专注于其行为在最低的能量阈值，开发的边缘奇异性。这种概率分布和经典薄膜中的临界Casimir效应之间的正式联系表明，当淬火后间隙趋于零时，边缘奇异性的某些特征是普遍的。我们的结果定量说明了非相互作用玻色子系统的精确计算。有限的系统尺寸，维数和非零初始温度的影响进行了详细讨论。
英文摘要：
Motivated by experiments on splitting one-dimensional quasi-condensates, we study the statistics of the work done by a quantum quench in a bosonic system. We discuss the general features of the probability distribution of the work and focus on its behaviour at the lowest energy threshold, which develops an edge singularity. A formal connection between this probability distribution and the critical Casimir effect in thin classical films shows that certain features of the edge singularity are universal as the post-quench gap tends to zero. Our results are quantitatively illustrated by an exact calculation for non-interacting bosonic systems. The effects of finite system size, dimensionality, and non-zero initial temperature are discussed in detail.
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