Universal Tripartite Entanglement in One-Dimensional Many-Body Systems
| Autor: | Karthik Siva, Michael P. Zaletel, Tomohiro Soejima, Yijian Zou, Roger S. K. Mong |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
General Physics FOS: Physical sciences General Physics and Astronomy Quantum entanglement 01 natural sciences Wedge (geometry) Many body Mathematical Sciences Theoretical physics Condensed Matter - Strongly Correlated Electrons Engineering quant-ph 0103 physical sciences 010306 general physics Physics Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) hep-th High Energy Physics - Theory (hep-th) Critical system Physical Sciences cond-mat.str-el Quantum Physics (quant-ph) Ground state Central charge |
| Zdroj: | Physical review letters, vol 126, iss 12 |
| Popis: | Motivated by conjectures in holography relating the entanglement of purification and reflected entropy to the entanglement wedge cross-section, we introduce two related non-negative measures of tripartite entanglement $g$ and $h$. We prove structure theorems which show that states with nonzero $g$ or $h$ have nontrivial tripartite entanglement. We then establish that in 1D these tripartite entanglement measures are universal quantities that depend only on the emergent low-energy theory. For a gapped system, we argue that either $g\neq 0$ and $h=0$ or $g=h=0$, depending on whether the ground state has long-range order. For a critical system, we develop a numerical algorithm for computing $g$ and $h$ from a lattice model. We compute $g$ and $h$ for various CFTs and show that $h$ depends only on the central charge whereas $g$ depends on the whole operator content. 5+16 pages, 4+5 figures |
| Databáze: | OpenAIRE |
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