Reviving the Lieb–Schultz–Mattis Theorem in Open Quantum Systems.

Title: Reviving the Lieb–Schultz–Mattis Theorem in Open Quantum Systems.
Speaker: Prof. Yingfei Gu (CASTU)
Start Date/Time: 2024-04-10 / 9:00 
End Date/Time: 2024-04-10 / 10:30
Host: Prof. Chia-Min Chung (NSYSU)

Online Zoom Link: https://us02web.zoom.us/j/86867205231?pwd=OTJVTURuVU9FVzkzR01kMVUwcGVvZz09
[Registration] is required

Abstract: 
In closed systems, the celebrated Lieb-Schultz-Mattis (LSM) theorem states that a one-dimensional locally interacting half-integer spin chain with translation and spin rotation symmetry cannot have a non-degenerate gapped ground state. However, the applicability of this theorem is diminished when the system interacts with a bath and loses its energy conservation. In this talk, I will show that the LSM theorem can be revived in the entanglement Hamiltonian when the coupling to bath renders the system short-range correlated. Compared with the original LSM theorem which primarily addresses UV--IR correspondence, our findings unveil that the UV data and topological constraints also have a pivotal role in shaping the entanglement in open quantum many-body systems.