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Variational optimization algorithms for uniform matrix product states

delete2018-01-25
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OA
AI
Z
Zauner-Stauber, V. *
L
Laurens Vanderstraeten
M
Matthew Fishman
F
Frank Verstraete
J
Jutho Haegeman
DOI:10.1103/PhysRevB.97.045145delete
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摘要

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

Physical Review B 封面图
Physical Review B
IF:
3.7
论文数:
15.4W
被引数:
41.0W

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C
California Institute of Technology
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被引数: 4.9W
G
Ghent University
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论文数: 4.5W
被引数: 5.5W
U
University of Vienna
学者数:
1.7W
论文数: 1.6W
被引数: 40
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