# How can we detect the topological order in 1+1D topological superconductor numerically?

I read some material in this forum and realize that entanglement entropy does not correspond to long range entanglement. Then what quantity can be used to characterize the topological order in 1+1D topological superconductor that can be obtained numerically?

• Which material? Sep 30, 2013 at 18:29
• For example, in discussion in the link : physics.stackexchange.com/q/37840 Oct 1, 2013 at 9:19

• If you bosonize the 1+1D fermion model, the fermion parity conservation becomes a $Z_2$ symmetry in the bosonize model. If the bosonize model spontaneously break such a $Z_2$ symmetry, then the 1+1D fermion model is in the topologically ordered phase. Oct 3, 2013 at 1:24