论文标题
量子链中的Quasiparticle激发态中通用rényi熵的校正
Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
论文作者
论文摘要
我们研究了费米子，玻感和旋转1/2 XY链中通用两部分的能量特征态rényi熵。当该理论的差距很大或激发准粒子的所有力量很大时，rényi熵采用通用形式，该形式独立于模型，准粒子力矩和子系统的连接性。我们通过分析性地计算出极度差的限制的Rényi熵，并在各种模型中为通用rényi熵找到不同的其他贡献。当激发准粒子的动量差异很小时，不能忽略通用rényi熵的校正。只要激发的准粒子的所有动量都大，略大的链中仍然有效，该熵在极度间隙的极限中仍然有效。在XY链中的双间隔中，我们发现了新的通用结果及其更正。我们将结果称为通用的结果，即使仅在Spin-1/2 XY链中的双间隔中有效。在极限极限中的骨链中，我们在分析上发现了作为某个矩阵的永久性的rényi熵的新公式。我们通过数值计算支持所有分析结果。
We investigate the energy eigenstate Rényi entropy of generic bipartition in the fermionic, bosonic, and spin-1/2 XY chains. When the gap of the theory is large or all the momenta of the excited quasiparticles are large, the Rényi entropy takes a universal form, which is independent of the model, the quasiparticle momenta, and the subsystem connectedness. We calculate analytically the Rényi entropy in the extremely gapped limit and find different additional contributions to the universal Rényi entropy in various models. The corrections to the universal Rényi entropy cannot be neglected when the momentum differences of the excited quasiparticles are small. The Rényi entropy derived in the extremely gapped limit is still valid in the slightly gapped and even critical chains as long as all the momenta of the excited quasiparticles are large. In the case of double interval in the XY chain we find new universal results and their corrections. We call the result universal even though it is only valid for double interval in the spin-1/2 XY chain. In the case of the bosonic chain in the extremely massive limit we find analytically a novel formula for the Rényi entropy written as the permanent of a certain matrix. We support all of our analytical results with numerical calculations.
