Logarithmic current fluctuations in nonequilibrium quantum spin chains.
Logarithmic current fluctuations in nonequilibrium quantum spin chains.
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非平衡量子自旋链中的对数电流波动。
DOI：
10.1103/physreve.78.061115
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Rakos,A
中科院分区：
文献类型：
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作者：
Antal,T;Krapivsky,PL;Rakos,A
我们研究了零温量子自旋链，它的特征在于一个非零电流。对于从初态开始的模型，我们导出了总自旋流方差的精确表达式。我们表明，渐近的方差表现出一个令人不安的缓慢的对数增长，我们还提取了subleading常数项。然后，我们认为，对数增长仍然有效的模型在临界区域。
We study zero-temperature quantum spin chains, which are characterized by a nonvanishing current. For themodel starting from the initial state ∣⋯↑↑↑↓↓↓⋯⟩ we derive an exact expression for the variance of the total spin current. We show that asymptotically the variance exhibits an anomalously slow logarithmic growth; we also extract the subleading constant term. We then argue that the logarithmic growth remains valid for themodel in the critical region.