Variational optimization algorithms for uniform matrix product states

Autor:	Zauner-Stauber, V., Vanderstraeten, L., Fishman, M. T., Verstraete, F., Haegeman, J.
Rok vydání:	2017
Předmět:	Quantum Physics Condensed Matter - Strongly Correlated Electrons
Zdroj:	Phys. Rev. B 97, 045145 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.97.045145
Popis:	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. Comment: 20 pages + 12 pages appendix, V. Zauner-Stauber previously also published under the name V. Zauner
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.07035 Zobrazit plný text záznamu View this record from Arxiv