Zero-mode entanglement across a conformal defect
- URL: http://arxiv.org/abs/2303.10425v1
- Date: Sat, 18 Mar 2023 14:32:01 GMT
- Title: Zero-mode entanglement across a conformal defect
- Authors: Luca Capizzi and Viktor Eisler
- Abstract summary: We consider a free-fermion chain with a conformal defect that features an extended zero mode.
The zero-mode induced degeneracy modifies the density of states in the single-particle entanglement spectrum.
We observe parity effects for half-chains with even/odd sites, which do not decay with size.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider a free-fermion chain with a conformal defect that features an
extended zero mode, and study the entanglement properties in its mixed ground
state. The zero-mode induced degeneracy modifies the density of states in the
single-particle entanglement spectrum, which can be calculated via the full
counting statistics. For a homogeneous chain, the resulting change in the
R\'enyi entropy is derived analytically for arbitrary subsystem ratios in the
thermodynamic limit. For a conformal defect located in the center, analogous
results can be obtained for the half-chain entanglement. In particular, we
observe parity effects for half-chains with even/odd sites, which do not decay
with size.
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