Many Body Seminar: Recent progress on area laws for entanglement entropy

Yilun Yang (MPQ)
The area law for entanglement entropy of local, gapped 1D systems supports the success of DMRG algorithm.

July 08, 2021

Yilun Yang (MPQ)
Group Seminar via Zoom
Thu, 8. July 2021, 11:00 am (MEZ)

*Abstract*:

The area law for entanglement entropy of local, gapped 1D systems supports the success of DMRG algorithm. In more general cases like higher dimensions, rigorous proof however remains missing. In this talk I want to discuss two recent papers that give area laws for
1. 1D gapped systems with long range interaction (https://www.nature.com/articles/s41467-020-18055-x) and
2. 2D local, gapped and non-frustrated spin systems (http://arxiv.org/abs/2103.02492).
They apply the same approach called approximate-ground-state-projection (AGSP). I will try to follow their proofs.

We begin at 11h with an informal discussion and continue with the talk at 11:20.

If you'd like to participate in the seminar, please contact us!