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- Title
Rényi entanglement entropies for the compactified massless boson with open boundary conditions.
- Authors
Bastianello, Alvise
- Abstract
We investigate the Rényi entanglement entropies for the one-dimensional massless free boson compactified on a circle, which describes the low energy sector of several interacting many-body 1d systems (Luttinger Liquid). We focus on systems on a finite segment with open boundary conditions and possible inhomogeneities in the couplings. We provide expressions for the Rényi entropies of integer indices in terms of Fredholm determinant-like expressions. Within the homogeneous case, we reduce the problem to the solution of linear integral equations and the computation of Riemann Theta functions. We mainly focus on a single interval in the middle of the system, but results for generic bipartitions are given as well.
- Subjects
THETA functions; LUTTINGER liquids; QUANTUM field theory; ENTROPY; CONFORMAL field theory; BOSONS; DIRAC function
- Publication
Journal of High Energy Physics, 2019, Vol 2019, Issue 10, pN.PAG
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2019)141