The entanglement entropy of one-dimensional gases

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.

4 pages, 2 figures. v2: Typos corrected

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• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"