Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908531026821120 |
|---|---|
| author | Zhang, Shuocang Shi, Qiang |
| author_facet | Zhang, Shuocang Shi, Qiang |
| contents | The time-evolving matrix product operator (TEMPO) method is a powerful tool for simulating open system quantum dynamics. Typically, it is used in problems with diagonal system-bath coupling, where analytical expressions for discretized influence functional are available. In this work, we aim to address issues related to off-diagonal coupling by extending the TEMPO algorithm to accommodate arbitrary basis sets. The proposed approach is based on computing the derivative of the discretized path integral expression of a generalized influence functional when increasing one time step, which yields an equation of motion valid for non-diagonal basis set and arbitrary number of non-commuting baths. The generalized influence functional is then obtained by integrating the resulting differential equation. Applicability of the the new method is then tested by simulating one- and two- qubit systems coupled to both Z- and X-type baths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression Zhang, Shuocang Shi, Qiang Quantum Physics Chemical Physics The time-evolving matrix product operator (TEMPO) method is a powerful tool for simulating open system quantum dynamics. Typically, it is used in problems with diagonal system-bath coupling, where analytical expressions for discretized influence functional are available. In this work, we aim to address issues related to off-diagonal coupling by extending the TEMPO algorithm to accommodate arbitrary basis sets. The proposed approach is based on computing the derivative of the discretized path integral expression of a generalized influence functional when increasing one time step, which yields an equation of motion valid for non-diagonal basis set and arbitrary number of non-commuting baths. The generalized influence functional is then obtained by integrating the resulting differential equation. Applicability of the the new method is then tested by simulating one- and two- qubit systems coupled to both Z- and X-type baths. |
| title | Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression |
| topic | Quantum Physics Chemical Physics |
| url | https://arxiv.org/abs/2410.23877 |