Eigenvalues λ m of the correlation kernel obtained by numerical method (dots) versus the spectrum (4.21) of a thermal partition function with appropriate temperature (solid lines) for various x → 1. Only the first few eigenvalues are shown. λ m are symmetric across m = 1/2 line. Although not shown in this figure, the discrepancy between analytics and numerics is well resolved by including the second order corrections, see Figure 5.

Contexts in source publication

Context 1

... studying perturbative corrections to this later spectrum we give evidence that the reflected density matrix approaches rapidly the thermal density matrix. This agrees well with the eigenvalues obtained from numerical method, see Figure 2. ...

Context 2

... truncation of the modes we can numerically compute ∆C mn and use this to extract the reflected entropy ( Figure 1,4,6,7) and entanglement spectrum (Figure 2,5). The relevant cross ratio is: ...