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Variational optimization algorithms for uniform matrix product states
DOI:10.1103/PhysRevB.97.045145.png)
摘要
En 中文
We combine the density matrix renormalization group (DMRG) with matrix product state tangent space concepts to construct a variational algorithm for finding ground states of one-dimensional quantum lattices in the thermodynamic limit. A careful comparison of this variational uniform matrix product state algorithm (VUMPS) with infinite density matrix renormalization group (IDMRG) and with infinite time evolving block decimation (ITEBD) reveals substantial gains in convergence speed and precision. We also demonstrate that VUMPS works very efficiently for Hamiltonians with long-range interactions and also for the simulation of two-dimensional models on infinite cylinders. The new algorithm can be conveniently implemented as an extension of an already existing DMRG implementation.
Keyword:
RENORMALIZATION-GROUP
FORMULATION
TRANSITION
CHAIN
MODEL
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期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
机构
引用论文
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems量子自旋系统的矩阵乘积态,投影纠缠态和变分重归一化组方法
ADVANCES IN PHYSICS
IF13.8

