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Entanglement Entropy of One-Dimensional Gases

Pasquale CalabreseDipartimento di Fisica dell’Università di Pisa and INFN, Pisa, ItalyMihail MintchevDipartimento di Fisica dell’Università di Pisa and INFN, Pisa, ItalyEttore VicariDipartimento di Fisica dell’Università di Pisa and INFN, Pisa, Italy
2011en
ABI

Abstract

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.

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Cited by 20 references