Dec 3 – 6, 2019
KEK
Japan timezone

Direct Calculation of Mutual Information of Distant Regions

Dec 5, 2019, 2:00 PM
15m
Kobayashi Hall, Kenkyu-Honkan bldg. 1F (KEK)

Kobayashi Hall, Kenkyu-Honkan bldg. 1F

KEK

Speaker

Dr Noburo Shiba

Description

We consider the (Renyi) mutual information, I^(n) (A,B)=S^(n)_A +S^(n)_B −S^(n)_ A∪B , of distant compact spatial regions A and B in the vacuum state of a free scalar field. The distance r between A and B is much greater than their sizes R A,B . It is known that I^(n)_(A,B)∼C^(n)_AB ⟨0|ϕ(r)ϕ(0)|0⟩^2 . We obtain the direct expression of C^(n)_AB for arbitrary regions A and B. We perform the analytical continuation of n and obtain the mutual information. The direct expression is useful for the numerical computation. By using the direct expression, we can compute directly I(A,B) without computing S_A ,S_B and S_A∪B respectively, so it reduces significantly the amount of computation.

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