Figure 1
Comparison between three different measures of the entanglement contained in the elementary
wave, Eq. (
8), as a function of the interpolation parameter
and number
of dimensions: The von Neumann entropy, Eq. (
33) (top), the maximal value of the CHSH sum
, Eq. (
36) (middle), and the numerically calculated negative volume
, Eq. (
47) (bottom), of the Wigner function corresponding to the elementary
wave. All three figures are similar in their characteristic features. In particular, all three measures vanish for a Gaussian, that is
, and reach their maximal values
,
at the critical point
. The only exception to this behavior appears in two dimensions, where the negative volume
has a local minimum at
as shown on the left-hand inset. In all other dimensions we observe an absolute maximum of
corresponding to maximally entangled states as shown by the example of
in the neighborhood of
. On the left-hand inset the separation of the ticks on the vertical and horizontal axes is
and
, respectively. On the right-hand inset the separation of the ticks on the vertical and horizontal axes is
and
, respectively. The horizontal axes on three figures are identical.
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