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

doi:10.1088/1674-1056/ac92d4

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40303-040303.doi: 10.1088/1674-1056/ac92d4

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

Junjun Xu(许军军)^†

Institute of Theoretical Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2022-09-16 修回日期:2022-09-16 接受日期:2022-09-19 出版日期:2023-03-10 发布日期:2023-03-17
通讯作者: Junjun Xu E-mail:jxu@ustb.edu.cn
基金资助:
Project supported by Fundamental Research Funds for the Central Universities (Grant No. FRF-TP-19-013A3).

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

Junjun Xu(许军军)^†

Institute of Theoretical Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2022-09-16 Revised:2022-09-16 Accepted:2022-09-19 Online:2023-03-10 Published:2023-03-17
Contact: Junjun Xu E-mail:jxu@ustb.edu.cn
Supported by:
Project supported by Fundamental Research Funds for the Central Universities (Grant No. FRF-TP-19-013A3).

摘要/Abstract

摘要： 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.

关键词: time-evolving block decimation, matrix product states, spin models, symmetry-protected topological states

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.

Key words: time-evolving block decimation, matrix product states, spin models, symmetry-protected topological states

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

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)

Junjun Xu(许军军). An optimized infinite time-evolving block decimation algorithm for lattice systems[J]. 中国物理B, 2023, 32(4): 40303-040303.

Junjun Xu(许军军). An optimized infinite time-evolving block decimation algorithm for lattice systems[J]. Chin. Phys. B, 2023, 32(4): 40303-040303.

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

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

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