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Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands

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arxiv 2106.10287 v1 pith:FZWYD75M submitted 2021-06-18 hep-th cond-mat.stat-mechquant-ph

Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands

Jorrit Kruthoff , Raghu Mahajan , Chitraang Murdia This is my paper
classification hep-th cond-mat.stat-mechquant-ph
keywords entanglementtransmittinginterfacepartiallyboundarydefecteffectentropy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the entanglement entropy of free fermions in 2d in the presence of a partially transmitting interface that splits Minkowski space into two half-spaces. We focus on the case of a single interval that straddles the defect, and compute its entanglement entropy in three limits: Perturbing away from the fully transmitting and fully reflecting cases, and perturbing in the amount of asymmetry of the interval about the defect. Using these results within the setup of the Poincar\'e patch of AdS$_2$ statically coupled to a zero temperature flat space bath, we calculate the effect of a partially transmitting AdS$_2$ boundary on the location of the entanglement island region. The partially transmitting boundary is a toy model for black hole graybody factors. Our results indicate that the entanglement island region behaves in a monotonic fashion as a function of the transmission/reflection coefficient at the interface.

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Cited by 2 Pith papers

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    Fuzzball models with stretched horizons modify or eliminate entanglement islands depending on boundary conditions and cap geometry, producing information paradox analogues in some cases.

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    Holographic models of interface CFTs connect the effective central charge in entanglement entropy to a limiting case of boundary entropy, while adding finite terms for non-crossing intervals to satisfy strong subadditivity.