Entanglement spectrum and number fluctuations in the spin-partitioned BCS ground state

Entanglement spectrum and number fluctuations in the spin-partitioned BCS ground state
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自旋分区BCS基态中的纠缠谱和数涨落

DOI：
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发表时间：
2014
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通讯作者：
F. N. C. Paraan
F. N. C. Paraan
中科院分区：
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文献类型：
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作者：
Xavier M. Puspus;K. H. Villegas;F. N. C. Paraan

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通过计算全纠缠谱和相应的冯·诺伊曼纠缠熵，研究了BCS基态自旋组分之间的纠缠。非相互作用电子的广义吉布斯系综（GGE）可以有效地模拟纠缠谱，它可以用BCS临界温度下的正则系综来近似。我们进一步证明了纠缠熵与配对能量和费米表面上的电子数成正比（面积定律）。此外，纠缠熵也与BCS态中任一自旋分量的涨落数成正比。
We study entanglement between the spin components of the Bardeen-Cooper-Schrieffer (BCS) ground state by calculating the full entanglement spectrum and the corresponding von Neumann entanglement entropy. The entanglement spectrum is effectively modeled by a generalized Gibbs ensemble (GGE) of non-interacting electrons, which may be approximated by a canonical ensemble at the BCS critical temperature. We further demonstrate that the entanglement entropy is jointly proportional to the pairing energy and to the number of electrons about the Fermi surface (an area law). Furthermore, the entanglement entropy is also proportional to the number fluctuations of either spin component in the BCS state.