Fano resonances and entanglement entropy

Abstract

We study the entanglement in the ground state of a chain of free spinless fermions with a single side-coupled impurity. We find a logarithmic scaling for the entanglement entropy of a segment neighboring the impurity. The prefactor of the logarithm varies continuously and contains an impurity contribution described by a one-parameter function, while the contribution of the unmodified boundary enters additively. The coefficient is found explicitly by pointing out similarities with other models involving interface defects. The proposed formula gives excellent agreement with our numerical data. If the segment has an open boundary, one finds a rapidly oscillating subleading term in the entropy that persists in the limit of large block sizes. The particle number fluctuation inside the subsystem is also reported. It is analogous with the expression for the entropy scaling, however with a simpler functional form for the coefficient.

10 pages, 10 figures, minor changes

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Cited by in corpus (17)

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• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• On entanglement evolution across defects in critical chains
• Entanglement Entropy of Quantum Wire Junctions
• Exact results for the entanglement across defects in critical chains
• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Time evolution of entanglement negativity across a defect
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Entanglement evolution after a global quench across a conformal defect
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Entanglement in composite free-fermion systems
• Zero-mode entanglement across a conformal defect
• Impurity-directed Transport within a Finite Disordered Lattice
• Projective approach to the entanglement entropy of 1-$d$ fermions
• Entanglement entropy in multi-leg Kitaev ladders with interface defects