For a free-fermion chain with a hopping defect, the quantum Renyi relative entropies are expressed as a fitted formula that depends on the effective central charge and subsystem size.
Entanglement Entropy of Quantum Wire Junctions
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abstract
We consider a fermion gas on a star graph modeling a quantum wire junction and derive the entanglement entropy of one edge with respect to the rest of the junction. The gas is free in the bulk of the graph, the interaction being localized in its vertex and described by a non-trivial scattering matrix. We discuss all point-like interactions, which lead to unitary time evolution of the system. We show that for a finite number of particles N, the Renyi entanglement entropies of one edge grow as ln N with a calculable prefactor, which depends not only on the central charge, but also on the total transmission probability from the considered edge to the rest of the graph. This result is extended to the case with an harmonic potential in the bulk.
fields
cond-mat.stat-mech 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Quantum Renyi relative entropies on a spin chain with interface defects
For a free-fermion chain with a hopping defect, the quantum Renyi relative entropies are expressed as a fitted formula that depends on the effective central charge and subsystem size.