Reply to comment on "Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs"
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913659324727296 |
|---|---|
| author | Gleis, Andreas Li, Jheng-Wei von Delft, Jan |
| author_facet | Gleis, Andreas Li, Jheng-Wei von Delft, Jan |
| contents | We reply to McCulloch and Osborne's recent comment on our manuscript (Phys. Rev. Lett. 130, 246402 (2023)) on controlled bond expansion (CBE) for density matrix renormalization group (DMRG) ground state search. We appreciate their suggestion to consider randomized SVD and address their constructive critique on the variational properties of CBE-DMRG. However, we strongly disagree with their proposal to omit the projection to the 2-site tangent space and explain its importance for efficient bond expansion. In particular, in the context of CBE applied to the time-dependent variational principle (TDVP), we show that omitting this projection can lead to avoidable errors. Lastly, we emphasize the complementary roles of 3S mixing and CBE, reiterating our recommendation from Phys. Rev. Lett. 130, 246402 (2023) to combine both methods (CBE+$α$). We provide examples to demonstrate the superior efficiency and robustness of CBE+$α$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reply to comment on "Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs" Gleis, Andreas Li, Jheng-Wei von Delft, Jan Strongly Correlated Electrons We reply to McCulloch and Osborne's recent comment on our manuscript (Phys. Rev. Lett. 130, 246402 (2023)) on controlled bond expansion (CBE) for density matrix renormalization group (DMRG) ground state search. We appreciate their suggestion to consider randomized SVD and address their constructive critique on the variational properties of CBE-DMRG. However, we strongly disagree with their proposal to omit the projection to the 2-site tangent space and explain its importance for efficient bond expansion. In particular, in the context of CBE applied to the time-dependent variational principle (TDVP), we show that omitting this projection can lead to avoidable errors. Lastly, we emphasize the complementary roles of 3S mixing and CBE, reiterating our recommendation from Phys. Rev. Lett. 130, 246402 (2023) to combine both methods (CBE+$α$). We provide examples to demonstrate the superior efficiency and robustness of CBE+$α$. |
| title | Reply to comment on "Controlled bond expansion for Density Matrix Renormalization Group ground state search at single-site costs" |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.12291 |