3 research outputs found
Entanglement entropies in free fermion gases for arbitrary dimension
We study the entanglement entropy of connected bipartitions in free fermion
gases of N particles in arbitrary dimension d. We show that the von Neumann and
Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a
prefactor that is analytically computed using the Widom conjecture both for
periodic and open boundary conditions. The logarithmic correction to the
power-law behavior is related to the area-law violation in lattice free
fermions. These asymptotic large-N behaviors are checked against exact
numerical calculations for N-particle systems.Comment: 6 pages, 9 fig
Entanglement Entropy of Quantum Wire Junctions
We consider a fermion gas on a star graph modeling a quantum wire junction
and derive the entanglement entropy of one edge with respect to the rest of the
junction. The gas is free in the bulk of the graph, the interaction being
localized in its vertex and described by a non-trivial scattering matrix. We
discuss all point-like interactions, which lead to unitary time evolution of
the system. We show that for a finite number of particles N, the Renyi
entanglement entropies of one edge grow as ln N with a calculable prefactor,
which depends not only on the central charge, but also on the total
transmission probability from the considered edge to the rest of the graph.
This result is extended to the case with an harmonic potential in the bulk.Comment: LaTex, 1+23 pages, 5 figures, typos corrected, analytic derivation of
the integer Renyi entaglement entropies added in section 3, references added,
final version to appear in J. Phys.
Exact results for the entanglement across defects in critical chains
We consider fermionic and bosonic quantum chains where a defect separates two
subsystems and compare the corresponding entanglement spectra. With these, we
calculate their R\'enyi entanglement entropies and obtain analytical formulae
for the continuously varying coefficient of the leading logarithmic term. For
the bosonic case we also present numerical results.Comment: 17 pages, 6 figures, some remarks adde