标题： 量子格点模型热力学的线性张量重正化群算法 显示英文标题

标题： Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models

摘要： 一种线性化张量重正化群（LTRG）算法被提出用于计算一维量子格点模型的热力学性质，该算法结合了无限时间演化块消去技术，并可以直接处理二维转移矩阵张量网络。 为了说明其可行性，通过LTRG精确计算了量子XY自旋链的热力学量，并显示出其精度可与（甚至优于）转移矩阵重正化群（TMRG）方法相媲美。 与只能处理无限链的TMRG方案不同，当前的LTRG算法可以处理有限和无限系统，并且可以很容易地扩展到玻色子和费米子量子格点模型。 显示英文摘要

摘要： A linearized tensor renormalization group (LTRG) algorithm is proposed to calculate the thermodynamic properties of one-dimensional quantum lattice models, that is incorporated with the infinite time-evolving block decimation technique, and allows for treating directly the two-dimensional transfer-matrix tensor network. To illustrate its feasibility, the thermodynamic quantities of the quantum XY spin chain are calculated accurately by the LTRG, and the precision is shown to be comparable with (even better than) the transfer matrix renormalization group (TMRG) method. Unlike the TMRG scheme that can only deal with the infinite chains, the present LTRG algorithm could treat both finite and infinite systems, and may be readily extended to boson and fermion quantum lattice models.