Entanglement entropy with localized and extended interface defects

Abstract

The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy between the two halves of the system in equilibrium, as well as after a quench, when the interaction at the interface is changed for time t>0. For the localized defect the increase of the entropy with log(L) or with log(t) involves the same effective central charge, which is a continuous function of the strength of the defect. On the contrary for the extended defect the equilibrium entropy is saturated, but the non-equilibrium entropy has a logarithmic time-dependence the prefactor of which depends on the strength of the defect.

9 pages, 6 figures

References in corpus (13)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
• Evolution of entanglement after a local quench
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement through conformal interfaces
• Entanglement evolution after connecting finite to infinite quantum chains
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement entropy of aperiodic quantum spin chains
• Entanglement in spin chains with gradients
• Increasing of entanglement entropy from pure to random quantum critical chains
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Entanglement entropy of the random spin-1 Heisenberg chain
• Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain

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• Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
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• Zero-mode entanglement across a conformal defect
• Sudden quenches in quasiperiodic Ising model
• Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Effect of Single Impurity on Free Fermion Entanglement Entropy
• Quantum Renyi relative entropies on a spin chain with interface defects
• Entanglement across extended random defects in the XX spin chain
• Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect
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• Ballistic Entanglement Cloud after a Boundary Quench
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• Entanglement Entropy in Integrable Field Theories with Line Defects II. Non-topological Defect
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• Entanglement entropy through conformal interfaces in the 2D Ising model