Variational Energy Minimization for Continuous Matrix Product States (Dr. M. Ganahl)
- Date: Mar 3, 2017
- Time: 09:05 AM - 10:00 AM (Local Time Germany)
- Speaker: Dr. Martin Ganahl
- Perimter Institute for Theoretical Physics Waterloo, Canada
- Room: Herbert Walther Lecture Hall
- Host: MPQ & Max Planck Harvard Center
A continuous MPS (cMPS) approximation to the ground state can be obtained by simulating an Euclidean time evolution. In this talk I will present a cMPS optimization algorithm based instead on energy minimization by gradient methods. I will demonstrate its performance for the case of the Lieb Liniger model (an integrable model of an interacting bosonic field) directly in the thermodynamic limit. The algorithm shows a significant computational speed‐up, up to two orders of magnitude, with respect to simulating an Euclidean time evolution. As a result, much larger cMPS bond dimension D and much higher accuracy can be reached (e.g. D = 256 with moderate computational resources).