Boundary quantum critical phenomena with entanglement renormalization
Boundary quantum critical phenomena with entanglement renormalization
复制标题
DOI：
10.1103/physrevb.82.161107
复制
发表时间：
2009-12
影响因子：
3.7
通讯作者：
G. Evenbly;R. N. C. Pfeifer;V. Pico;S. Iblisdir;L. Tagliacozzo;I. McCulloch;G. Vidal
中科院分区：
文献类型：
--
作者：
G. Evenbly;R. N. C. Pfeifer;V. Pico;S. Iblisdir;L. Tagliacozzo;I. McCulloch;G. Vidal
我们提出利用纠缠重整化技术来研究晶格系统的边界临界现象。多尺度纠缠重整化模型（MERA），在其尺度不变的版本，提供了一个非常紧凑的近似量子临界基态。在这里，我们表明，通过添加一个边界的MERA，一个精确的近似的基态的半无限临界链与一个开放的边界，从中可以提取边界标度算子和它们的标度维数。在威尔逊的重整化群制定的近藤问题，我们的建设产生，作为一个副作用，一个有效的链显示明确的分离的能量尺度。我们目前的基准结果的量子伊辛和量子XX模型的自由和固定的边界条件。© 2010美国物理学会。
We propose the use of entanglement renormalization techniques to study boundary critical phenomena on a lattice system. The multiscale entanglement renormalization ansatz (MERA), in its scale invariant version, offers a very compact approximation to quantum critical ground states. Here we show that, by adding a boundary to the MERA, an accurate approximation to the ground state of a semi-infinite critical chain with an open boundary is obtained, from which one can extract boundary scaling operators and their scaling dimensions. As in Wilson's renormalization-group formulation of the Kondo problem, our construction produces, as a side result, an effective chain displaying explicit separation of energy scales. We present benchmark results for the quantum Ising and quantum XX models with free and fixed boundary conditions. © 2010 The American Physical Society.