Entanglement negativity in two-dimensional free lattice models
arXiv:1511.08819 · doi:10.1103/PhysRevB.93.115148
Abstract
We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe that the negativity follows a strict area law for a lattice of harmonic oscillators, whereas for fermionic hopping models the numerical results indicate a multiplicative logarithmic correction. In this latter case, we conjecture a formula for the prefactor of the area-law violating term, which is entirely determined by the geometries of the Fermi surface and the boundary between the subsystems. The conjecture is tested against numerical results and a good agreement is found.
11 pages, 6 figures, published version
References in corpus (21)
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Entanglement negativity in quantum field theory
- Ground state entanglement and geometric entropy in the Kitaev's model
- Entanglement scaling in critical two-dimensional fermionic and bosonic systems
- Finite temperature entanglement negativity in conformal field theory
- Entanglement entropy of two disjoint blocks in XY chains
- Entanglement negativity in the harmonic chain out of equilibrium
- Entanglement negativity after a global quantum quench
- Unusual Corrections to Scaling in Entanglement Entropy
- On the partial transpose of fermionic Gaussian states
- Scaling of entanglement between separated blocks in spin chains at criticality
- Entanglement negativity and entropy in non-equilibrium conformal field theory
- Thermal state entanglement in harmonic lattices
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
- Thermal bound entanglement in macroscopic systems and area laws
- Renyi Entropy of the Interacting Fermi Liquid
- Entanglement in the XX spin chain with an energy current
- Universal scaling of the logarithmic negativity in massive quantum field theory
- A note on the Full Counting Statistics of paired fermions
- Scaling of entanglement entropy across Lifshitz transitions
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- Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
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- Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States