Entanglement entropy for disconnected subsystems
Posted: 28 Oct 2019, 16:43
Hi,
I would like to calculate the entanglement entropy for a ladder geometry (finite or infinite) by cutting longitudinally, this is, through the rungs of the ladder, such that the subsystems A and B correspond to different chains. However, I implement this geometry using a 1D MPS with an enlarged unit cell (different elements in the unit cell correspond to different chains in the y direction). With this ordering, the subsystems A and B correspond to the even and odd sites of the MPS chain, respectively. Therefore, they are disconnected. I wonder if it is still possible to calculate the entanglement entropy corresponding to such decomposition.
I tried entanglement_entropy_segment but I get an error, so I guess this function does not accept disconnected segments. Is there any other way?
Thanks in advance!
Best,
Daniel
I would like to calculate the entanglement entropy for a ladder geometry (finite or infinite) by cutting longitudinally, this is, through the rungs of the ladder, such that the subsystems A and B correspond to different chains. However, I implement this geometry using a 1D MPS with an enlarged unit cell (different elements in the unit cell correspond to different chains in the y direction). With this ordering, the subsystems A and B correspond to the even and odd sites of the MPS chain, respectively. Therefore, they are disconnected. I wonder if it is still possible to calculate the entanglement entropy corresponding to such decomposition.
I tried entanglement_entropy_segment but I get an error, so I guess this function does not accept disconnected segments. Is there any other way?
Thanks in advance!
Best,
Daniel