Gunhee Park 박건희

Simulating quantum dynamics in two-dimensional lattices with tensor network influence functional belief propagation Describing nonequilibrium quantum dynamics remains a significant computational challenge due to the growth of spatial entanglement. The tensor network influence functional (TN-IF) approach mitigates t...

📊 With this new method, we benchmarked against recent IBM experiments on kicked Ising dynamics (heavy-hex lattice) and simulated 2D TFIM quenches on square lattices—capturing long-time dynamics beyond the reach of traditional methods!
arxiv.org/abs/2504.07344

🧩 BP works well on tree-like lattices—but on 2D square lattices, loops introduce errors.
To go beyond this BP limit, we developed a cluster expansion for IF-BP that systematically captures loop-induced correlations.

🧠 A key idea: we shift the computational bottleneck from spatial to temporal entanglement.

While spatial entanglement grows linearly with time, we find that temporal entanglement entropy grows only logarithmically—enabling simulations with polynomial cost.

🔄 Instead of representing the wavefunction as a tensor network state,
we reformulate the dynamics as a path integral over the subsystem—captured by an influence functional MPS (IF-MPS).
We adapt BP to efficiently construct the IF-MPS for 2D lattices.

🚀 New paper out on arXiv!
We developed a tensor network algorithm to simulate quantum dynamics in 2D lattices, combining the concept of tensor network influence functional (TN-IF) and belief propagation (BP).

arxiv.org/abs/2504.07344

I will be here this morning!

I am volunteering at the DCP table at APS 2025.
The table is in front of the room 204B Annaheim convention center.
Say hi to me if you are nearby!

Feel free to message me if you want to chat with me during APS or ACS!

Feel free to message me if you want to chat with me during APS or ACS!

APS Tutorial Talk
March 16 (Sun) 1:30 - 5:30 summit.aps.org/events/MAR-8...
APS Contributed Talk
March 19 (Wed) 4:36 - 4:48
summit.aps.org/events/MAR-N...
ACS contributed Talk
March 27 (Thu) 10:40 - 11:00
acs.digitellinc.com/live/34/sess...

Hi Physics and Chemistry friends!
I will attend APS and ACS starting next week.
I will present "Quasi-Lindblad pseudomode theory for open quantum systems"
published in journals.aps.org/prb/abstract...
I will also give a Tutorial talk at APS on the fermionic Process Tensor

Congratulations!