Spherical Deformation for One-Dimensional Quantum Systems
Spherical Deformation for One-Dimensional Quantum Systems
复制标题
一维量子系统的球形变形
DOI：
10.1143/ptp.122.953
复制
发表时间：
2008
影响因子：
--
通讯作者：
T. Nishino
中科院分区：
文献类型：
--
作者：
A. Gendiar;R. Krčmár;T. Nishino
研究了具有开放边界条件的N位一维量子系统的基态能量E^N与系统大小的依赖关系，其中相互作用强度向系统两端减小。对于我们所考虑的一维晶格上的无自旋费米子，当相互作用的缩减因子用正弦函数表示时，对每个位置能量的有限大小修正（定义为E^ / N - \lim ＿N {\to\infty} E^N / N）的量级为1 / N^2。我们从球几何的角度讨论了这种快速收敛的根源。
System-size dependence of the ground-state energy E^N is investigated for N-site one-dimensional (1D) quantum systems with open boundary condition, where the interaction strength decreases towards the both ends of the system. For the spinless Fermions on the 1D lattice we have considered, it is shown that the finite-size correction to the energy per site, which is defined as E^N / N - \lim_{N \to \infty} E^N / N, is of the order of 1 / N^2 when the reduction factor of the interaction is expressed by a sinusoidal function. We discuss the origin of this fast convergence from the view point of the spherical geometry.