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.
Exact relationship between the entanglement entropies of XY and quantum Ising chains
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abstract
We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of l spins in homogeneous or inhomogeneous systems of length L. By using two different approaches, free-fermion techniques and perturbational expansion, an exact relationship between the entropies is revealed. Using this relation we translate known results between the two models and obtain, among others, the additive constant of the entropy of the critical homogeneous quantum Ising chain and the effective central charge of the random XY chain.
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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.