Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908645855330304 |
|---|---|
| author | Wang, Zhe Deng, Zehui Liu, Zenan Wang, Zhiyan Ding, Yi-Ming Zhang, Long Guo, Wenan Yan, Zheng |
| author_facet | Wang, Zhe Deng, Zehui Liu, Zenan Wang, Zhiyan Ding, Yi-Ming Zhang, Long Guo, Wenan Yan, Zheng |
| contents | Entanglement plays a key role in quantum physics, but how much information it can extract from many-body systems is still an open question, particularly regarding quantum criticalities and emergent symmetries. In this work, we systematically study the entanglement entropy (EE) and derivative entanglement entropy (DEE) near quantum phase transitions in various quantum many-body systems. A one-parameter scaling relation between the DEE and system size at the critical point has been derived for the first time, which successfully obtains the critical exponent via data collapse. Furthermore, we find that the EE peaks at the (emergent) symmetry enhanced first-order transition, reflecting higher symmetry breaking. This work provides a new paradigm for quantum many-body research from the perspective of EE and DEE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking Wang, Zhe Deng, Zehui Liu, Zenan Wang, Zhiyan Ding, Yi-Ming Zhang, Long Guo, Wenan Yan, Zheng Strongly Correlated Electrons Statistical Mechanics Quantum Physics Entanglement plays a key role in quantum physics, but how much information it can extract from many-body systems is still an open question, particularly regarding quantum criticalities and emergent symmetries. In this work, we systematically study the entanglement entropy (EE) and derivative entanglement entropy (DEE) near quantum phase transitions in various quantum many-body systems. A one-parameter scaling relation between the DEE and system size at the critical point has been derived for the first time, which successfully obtains the critical exponent via data collapse. Furthermore, we find that the EE peaks at the (emergent) symmetry enhanced first-order transition, reflecting higher symmetry breaking. This work provides a new paradigm for quantum many-body research from the perspective of EE and DEE. |
| title | Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2409.09942 |