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Left-Right Entanglement Entropy of Boundary States

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arxiv 1407.7057 v2 pith:43BBLLHU submitted 2014-07-25 hep-th cond-mat.stat-mech

Leopoldo A. Pando Zayas , Norma Quiroz This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords boundarystatesentanglemententropyfieldtheorycompactconformal
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We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field theory. We investigate the reduced density matrix obtained by tracing over the right-moving modes in various boundary states. We consider Dirichlet and Neumann boundary states of a free noncompact as well as a compact boson. The results for the entanglement entropy indicate that the reduced system can be viewed as a thermal CFT gas. Our findings are in agreement and generalize results in quantum mechanics and quantum field theory where coherent states can also be considered. In the compact case we verify that the entanglement entropy expressions are consistent with T-duality.

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    For 2D CFTs with boundary-only symmetry breaking, the entanglement asymmetry is log|G| with power-law corrections for finite groups, (dim G/2) log log(ℓ/ε) for compact Lie groups, and it drops from log|G| to 0 at t=ℓ/...

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