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The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- Source :
- Phys. Rev. Lett. 128, 140502 (2022)
- Publication Year :
- 2022
-
Abstract
- In the context of ground states of quantum many-body systems, the locality of entanglement between connected regions of space is directly tied to the locality of the corresponding entanglement Hamiltonian: the latter is dominated by local, few-body terms. In this work, we introduce the negativity Hamiltonian as the (non hermitian) effective Hamiltonian operator describing the logarithm of the partial transpose of a many-body system. This allows us to address the connection between entanglement and operator locality beyond the paradigm of bipartite pure systems. As a first step in this direction, we study the structure of the negativity Hamiltonian for fermionic conformal field theories and a free fermion chain: in both cases, we show that the negativity Hamiltonian assumes a quasi-local functional form, that is captured by simple functional relations.<br />Comment: 7 pages, 3 figures; Suppl. Mat.: 8 pages, 4 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 128, 140502 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2201.03989
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.128.140502