An optimized infinite time-evolving block decimation algorithm for lattice systems

doi:10.1088/1674-1056/ac92d4

Abstract The infinite time-evolving block decimation algorithm (iTEBD) provides an efficient way to determine the ground state and dynamics of the quantum lattice systems in the thermodynamic limit. In this paper we suggest an optimized way to take the iTEBD calculation, which takes advantage of additional reduced decompositions to speed up the calculation. The numerical calculations show that for a comparable computation time our method provides more accurate results than the traditional iTEBD, especially for lattice systems with large on-site degrees of freedom.

Keywords: time-evolving block decimation matrix product states spin models symmetry-protected topological states

Received: 16 September 2022
Revised: 16 September 2022
Accepted manuscript online: 19 September 2022

PACS:	03.67.Ac	(Quantum algorithms, protocols, and simulations)
	64.70.Tg	(Quantum phase transitions)
	75.10.Kt	(Quantum spin liquids, valence bond phases and related phenomena)
	75.10.Jm	(Quantized spin models, including quantum spin frustration)

Fund: Project supported by Fundamental Research Funds for the Central Universities (Grant No. FRF-TP-19-013A3).

Corresponding Authors: Junjun Xu
E-mail: jxu@ustb.edu.cn

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Junjun Xu(许军军) An optimized infinite time-evolving block decimation algorithm for lattice systems 2023 Chin. Phys. B 32 040303

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