Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1038/s41535-022-00476-0
- Scopus: eid_2-s2.0-85133137490
- WOS: WOS:000818767500001
Supplementary
- Citations:
- Appears in Collections:
Article: Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
Title | Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations |
---|---|
Authors | |
Issue Date | 2022 |
Publisher | Springer. The Journal's web site is located at http://www.nature.com/npjquantmats/ |
Citation | npj Quantum Materials, 2022, v. 7 n. 1, article no. 69 How to Cite? |
Abstract | We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the Rényi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the results on a few important yet difficult (2 + 1)d quantum lattice models, ranging from the Heisenberg quantum antiferromagnet with spontaneous symmetry breaking, the quantum critical point with O(3) conformal field theory (CFT) to the toric code Z2 topological ordered state and the Kagome Z2 quantum spin liquid model with frustration and multi-spin interactions. In all these cases, our method either reveals the precise CFT data from the logarithmic correction or extracts the quantum dimension in topological order, from the dominant area law in finite-size scaling, with very large system sizes, controlled errorbars, and minimal computational costs. Our method, therefore, establishes a controlled and practical computation paradigm to obtain the difficult yet important universal properties in highly entangled quantum matter. |
Persistent Identifier | http://hdl.handle.net/10722/314281 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | ZHAO, J | - |
dc.contributor.author | Chen, B | - |
dc.contributor.author | Wang, YC | - |
dc.contributor.author | Yan, Z | - |
dc.contributor.author | Cheng, M | - |
dc.contributor.author | Meng, Z | - |
dc.date.accessioned | 2022-07-18T06:15:09Z | - |
dc.date.available | 2022-07-18T06:15:09Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | npj Quantum Materials, 2022, v. 7 n. 1, article no. 69 | - |
dc.identifier.uri | http://hdl.handle.net/10722/314281 | - |
dc.description.abstract | We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the Rényi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the results on a few important yet difficult (2 + 1)d quantum lattice models, ranging from the Heisenberg quantum antiferromagnet with spontaneous symmetry breaking, the quantum critical point with O(3) conformal field theory (CFT) to the toric code Z2 topological ordered state and the Kagome Z2 quantum spin liquid model with frustration and multi-spin interactions. In all these cases, our method either reveals the precise CFT data from the logarithmic correction or extracts the quantum dimension in topological order, from the dominant area law in finite-size scaling, with very large system sizes, controlled errorbars, and minimal computational costs. Our method, therefore, establishes a controlled and practical computation paradigm to obtain the difficult yet important universal properties in highly entangled quantum matter. | - |
dc.language | eng | - |
dc.publisher | Springer. The Journal's web site is located at http://www.nature.com/npjquantmats/ | - |
dc.relation.ispartof | npj Quantum Materials | - |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/[insert DOI] | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.title | Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations | - |
dc.type | Article | - |
dc.identifier.email | Chen, B: bchenhku@hku.hk | - |
dc.identifier.email | Yan, Z: zhengyan@hku.hk | - |
dc.identifier.email | Meng, Z: zymeng@hku.hk | - |
dc.identifier.authority | Meng, Z=rp02524 | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1038/s41535-022-00476-0 | - |
dc.identifier.scopus | eid_2-s2.0-85133137490 | - |
dc.identifier.hkuros | 334085 | - |
dc.identifier.hkuros | 340344 | - |
dc.identifier.volume | 7 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | article no. 69 | - |
dc.identifier.epage | article no. 69 | - |
dc.identifier.eissn | 2397-4648 | - |
dc.identifier.isi | WOS:000818767500001 | - |
dc.identifier.issnl | 2397-4648 | - |