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Entanglement entropy at quantum critical points: Can you ... - INFN

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If the A and B share a common boundary,<br />

there is a log L term whose coefficient<br />

is determined by the angles <strong>at</strong> the<br />

intersections<br />

B<br />

A<br />

Or if the boundary of A is not smooth,<br />

in which case the coefficient depends on<br />

the angles α i for both regions<br />

(∆S) i = c α i<br />

24π<br />

(<br />

1 −<br />

( π<br />

α i<br />

) 2<br />

)<br />

log L<br />

B<br />

α 2<br />

α 1<br />

A α 3<br />

α 4<br />

Finite terms in the entanglement <strong>entropy</strong> depend on scale-invariant aspect r<strong>at</strong>ios<br />

27

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