We provide evidence that randomized low-rank factorization is a powerful tool for the determination of the ground-state properties of low-dimensional lattice Hamiltonians through tensor network techniques. In particular, we show that randomized matrix factorization outperforms truncated singular value decomposition based on state-of-the-art deterministic routines in time-evolving block decimation (TEBD)- and density matrix renormalization group (DMRG)-style simulations, even when the system under study gets close to a phase transition: We report linear speedups in the bond or local dimension of up to 24 times in quasi-two-dimensional cylindrical systems.
Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states / L. Kohn, F. Tschirsich, M. Keck, M.B. Plenio, D. Tamascelli, S. Montangero. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 97:1(2018), pp. 013301.013301-1-013301.013301-10. [10.1103/PhysRevE.97.013301]
Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
D. Tamascelli;S. Montangero
2018
Abstract
We provide evidence that randomized low-rank factorization is a powerful tool for the determination of the ground-state properties of low-dimensional lattice Hamiltonians through tensor network techniques. In particular, we show that randomized matrix factorization outperforms truncated singular value decomposition based on state-of-the-art deterministic routines in time-evolving block decimation (TEBD)- and density matrix renormalization group (DMRG)-style simulations, even when the system under study gets close to a phase transition: We report linear speedups in the bond or local dimension of up to 24 times in quasi-two-dimensional cylindrical systems.File | Dimensione | Formato | |
---|---|---|---|
PhysRevE.97.013301.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
510.1 kB
Formato
Adobe PDF
|
510.1 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.