arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1507.01374cond-mat.mes-hall
收藏

库仑作用下信息量的全计数统计

Full counting statistics of information content in the presence of Coulomb interaction

Yasuhiro Utsumi

摘要:

我们计算了正整数阶$M$的Rényi熵,它对应于连接到左右引线的单能级量子点的约化密度矩阵.我们利用一个$2 \times 2$修改Keldysh格林函数矩阵通过离散傅里叶变换的$2 M \times 2M$多轮廓Keldysh格林函数矩阵。从$M$到复平面的解析延拓导出了自信息矩母函数。我们计算的概率分布的自信息,并发现,在哈特里近似,现场库仑相互作用影响罕见的事件和修改的概率分布的约束。一个简单的等式,从中可以得到平均值的上限,即,的纠缠熵,将推断,提出。对于无相互作用的电子,纠缠熵用电子输运的全计数统计的电流累积量表示。

英文摘要:

We calculate the Rényi entropy of a positive integer order $M$ for a reduced density matrix of a single-level quantum dot connected to left and right leads. We exploit a $2 \times 2$ modified Keldysh Green function matrix obtained by the discrete Fourier transform of a $2 M \times 2M$ multi-contour Keldysh Green function matrix. A moment generating function of self-information is deduced from the analytic continuation of $M$ to the complex plane. We calculate the probability distribution of self-information and find that, within the Hartree approximation, the on-site Coulomb interaction affects rare events and modifies a bound of the probability distribution. A simple equality, from which an upper bound of the average, i.e., the entanglement entropy, would be inferred, is presented. For noninteracting electrons, the entanglement entropy is expressed with current cumulants of the full-counting statistics of electron transport.

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。

↑