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The entanglement entropy of one-dimensional gases

2011/05/31 by Pasquale Calabrese, Mihail Mintchev, Ettore Vicari · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.020601

published as Phys. Rev. Lett. 107, 020601 (2011) · 4 pages, 2 figures. v2: Typos corrected

arxiv created 2011/06/13 · arxiv updated 2011/07/07

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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