Entanglement microscopy and tomography in many-body systems
Abstract Quantum entanglement uncovers the essential principles of quantum matter, yet determining its structure in realistic many-body systems poses significant challenges. Here, we employ a protocol, dubbed entanglement microscopy, to reveal the multipartite entanglement encoded in the full reduce...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-55354-z |
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| author | Ting-Tung Wang Menghan Song Liuke Lyu William Witczak-Krempa Zi Yang Meng |
| author_facet | Ting-Tung Wang Menghan Song Liuke Lyu William Witczak-Krempa Zi Yang Meng |
| author_sort | Ting-Tung Wang |
| collection | DOAJ |
| description | Abstract Quantum entanglement uncovers the essential principles of quantum matter, yet determining its structure in realistic many-body systems poses significant challenges. Here, we employ a protocol, dubbed entanglement microscopy, to reveal the multipartite entanglement encoded in the full reduced density matrix of the microscopic subregion in spin and fermionic many-body systems. We exemplify our method by studying the phase diagram near quantum critical points (QCP) in 2 spatial dimensions: the transverse field Ising model and a Gross-Neveu-Yukawa transition of Dirac fermions. Our main results are: i) the Ising QCP exhibits short-range entanglement with a finite sudden death of the LN both in space and temperature; ii) the Gross-Neveu QCP has a power-law decaying fermionic LN consistent with conformal field theory (CFT) exponents; iii) going beyond bipartite entanglement, we find no detectable 3-party entanglement with our two witnesses in a large parameter window near the Ising QCP in 2d, in contrast to 1d. We further establish the singular scaling of general multipartite entanglement measures at criticality and present an explicit analysis in the tripartite case. |
| format | Article |
| id | doaj-art-f8bcfc1bd4b044308a1d66fa6b5a1724 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-f8bcfc1bd4b044308a1d66fa6b5a17242025-01-05T12:39:29ZengNature PortfolioNature Communications2041-17232025-01-011611810.1038/s41467-024-55354-zEntanglement microscopy and tomography in many-body systemsTing-Tung Wang0Menghan Song1Liuke Lyu2William Witczak-Krempa3Zi Yang Meng4Department of Physics and HK Institute of Quantum Science & Technology, The University of Hong KongDepartment of Physics and HK Institute of Quantum Science & Technology, The University of Hong KongDépartement de Physique, Université de MontréalDépartement de Physique, Université de MontréalDepartment of Physics and HK Institute of Quantum Science & Technology, The University of Hong KongAbstract Quantum entanglement uncovers the essential principles of quantum matter, yet determining its structure in realistic many-body systems poses significant challenges. Here, we employ a protocol, dubbed entanglement microscopy, to reveal the multipartite entanglement encoded in the full reduced density matrix of the microscopic subregion in spin and fermionic many-body systems. We exemplify our method by studying the phase diagram near quantum critical points (QCP) in 2 spatial dimensions: the transverse field Ising model and a Gross-Neveu-Yukawa transition of Dirac fermions. Our main results are: i) the Ising QCP exhibits short-range entanglement with a finite sudden death of the LN both in space and temperature; ii) the Gross-Neveu QCP has a power-law decaying fermionic LN consistent with conformal field theory (CFT) exponents; iii) going beyond bipartite entanglement, we find no detectable 3-party entanglement with our two witnesses in a large parameter window near the Ising QCP in 2d, in contrast to 1d. We further establish the singular scaling of general multipartite entanglement measures at criticality and present an explicit analysis in the tripartite case.https://doi.org/10.1038/s41467-024-55354-z |
| spellingShingle | Ting-Tung Wang Menghan Song Liuke Lyu William Witczak-Krempa Zi Yang Meng Entanglement microscopy and tomography in many-body systems Nature Communications |
| title | Entanglement microscopy and tomography in many-body systems |
| title_full | Entanglement microscopy and tomography in many-body systems |
| title_fullStr | Entanglement microscopy and tomography in many-body systems |
| title_full_unstemmed | Entanglement microscopy and tomography in many-body systems |
| title_short | Entanglement microscopy and tomography in many-body systems |
| title_sort | entanglement microscopy and tomography in many body systems |
| url | https://doi.org/10.1038/s41467-024-55354-z |
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