Solution of the fermionic entanglement problem with interface defects

Abstract

We study the ground-state entanglement of two halves of a critical transverse Ising chain, separated by an interface defect. From the relation to a two-dimensional Ising model with a defect line we obtain an exact expression for the continuously varying effective central charge. The result is relevant also for other fermionic chains.

15 pages, 6 figures, changed title and minor modifications in published version

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• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Modular Hamiltonians for the massless Dirac field in the presence of a defect
• Entanglement asymmetry in CFT and its relation to non-topological defects
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• Entanglement evolution across a conformal interface
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• Quantum criticality under imperfect teleportation
• Entanglement evolution after a global quench across a conformal defect
• Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
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• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Logarithmic entanglement scaling in dissipative free-fermion systems
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• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Corrections to the singlet-length distribution and the entanglement entropy in random singlet phases
• Spin correlation function in 2D statistical mechanics models with inhomogeneous line defects
• Quantum Renyi relative entropies on a spin chain with interface defects
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Detecting many-body entanglements in noninteracting ultracold atomic fermi gases
• Entanglement across extended random defects in the XX spin chain
• Conductance of correlated many-fermion systems from charge fluctuations
• Quantum Strong-to-Weak Spontaneous Symmetry Breaking in Decohered One Dimensional Critical States
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• Electrostatic solution of massless quenches in Luttinger liquids