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The entanglement entropy of one-dimensional gases

We introduce a systematic framework to calculate the bipartite entanglement entropy of a spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. To show the wide range of applicability of the proposed formalism, we use it for the calculation of the entanglement in the eigenstates of periodic systems, in a gas confined by boundaries or external potentials, in junctions of quantum wires and in a time-dependent parabolic potential.

preprint2011arXivOpen access
Pasquale CalabreseMihail MintchevEttore Vicari
cond-mat.stat-mechcond-mat.quant-gasquant-ph
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Pasquale CalabreseMihail MintchevEttore Vicari

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