The entanglement entropy of one-dimensional gases

Details The entanglement entropy of one-dimensional gases The entanglement entropy of one-dimensional gases

2011-05-24

arxiv.org/abs/1105.4756v2

Phys. Rev. Lett. 107, 020601 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures. v2: Typos corrected

Scientific paper

10.1103/PhysRevLett.107.020601

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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