Time-dependent variational principle with controlled bond expansion for matrix product states
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909248725712896 |
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| author | Li, Jheng-Wei Gleis, Andreas von Delft, Jan |
| author_facet | Li, Jheng-Wei Gleis, Andreas von Delft, Jan |
| contents | We present a controlled bond expansion (CBE) approach to simulate quantum dynamics based on the time-dependent variational principle (TDVP) for matrix product states. Our method alleviates the numerical difficulties of the standard, fixed-rank one-site TDVP integrator by increasing bond dimensions on the fly to reduce the projection error. This is achieved in an economical, local fashion, requiring only minor modifications of standard one-site TDVP implementations. We illustrate the performance of CBE--TDVP with several numerical examples on finite quantum lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_10972 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Time-dependent variational principle with controlled bond expansion for matrix product states Li, Jheng-Wei Gleis, Andreas von Delft, Jan Strongly Correlated Electrons Quantum Physics We present a controlled bond expansion (CBE) approach to simulate quantum dynamics based on the time-dependent variational principle (TDVP) for matrix product states. Our method alleviates the numerical difficulties of the standard, fixed-rank one-site TDVP integrator by increasing bond dimensions on the fly to reduce the projection error. This is achieved in an economical, local fashion, requiring only minor modifications of standard one-site TDVP implementations. We illustrate the performance of CBE--TDVP with several numerical examples on finite quantum lattices. |
| title | Time-dependent variational principle with controlled bond expansion for matrix product states |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2208.10972 |