Variational tensor network operator
We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. By applying these operators to simple initial states, accurat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-11-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043153 |
| _version_ | 1797210566394118144 |
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| author | Yu-Hsueh Chen Ke Hsu Wei-Lin Tu Hyun-Yong Lee Ying-Jer Kao |
| author_facet | Yu-Hsueh Chen Ke Hsu Wei-Lin Tu Hyun-Yong Lee Ying-Jer Kao |
| author_sort | Yu-Hsueh Chen |
| collection | DOAJ |
| description | We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. By applying these operators to simple initial states, accurate variational ground-state wave functions with extremely few parameters can be obtained. Furthermore, the framework can be applied to spontaneously study symmetry-breaking, symmetry-protected topological, and intrinsic topologically ordered phases, and we show that symmetries of the local tensors associated with these phases can emerge directly after the optimization without any gauge fixing. This provides a universal way to identify quantum phase transitions without prior knowledge of the system. |
| first_indexed | 2024-04-24T10:12:38Z |
| format | Article |
| id | doaj.art-3cc6ba7b7fd848d886092d10802ed194 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:38Z |
| publishDate | 2022-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-3cc6ba7b7fd848d886092d10802ed1942024-04-12T17:26:42ZengAmerican Physical SocietyPhysical Review Research2643-15642022-11-014404315310.1103/PhysRevResearch.4.043153Variational tensor network operatorYu-Hsueh ChenKe HsuWei-Lin TuHyun-Yong LeeYing-Jer KaoWe propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. By applying these operators to simple initial states, accurate variational ground-state wave functions with extremely few parameters can be obtained. Furthermore, the framework can be applied to spontaneously study symmetry-breaking, symmetry-protected topological, and intrinsic topologically ordered phases, and we show that symmetries of the local tensors associated with these phases can emerge directly after the optimization without any gauge fixing. This provides a universal way to identify quantum phase transitions without prior knowledge of the system.http://doi.org/10.1103/PhysRevResearch.4.043153 |
| spellingShingle | Yu-Hsueh Chen Ke Hsu Wei-Lin Tu Hyun-Yong Lee Ying-Jer Kao Variational tensor network operator Physical Review Research |
| title | Variational tensor network operator |
| title_full | Variational tensor network operator |
| title_fullStr | Variational tensor network operator |
| title_full_unstemmed | Variational tensor network operator |
| title_short | Variational tensor network operator |
| title_sort | variational tensor network operator |
| url | http://doi.org/10.1103/PhysRevResearch.4.043153 |
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