*Online Seminar* Graduate Student Seminar: Simulating time-dependent Schrödinger equation with Coarse-grained spectral projection (CGSP), Speaker, Pinchen Xie

Graduate Student Seminars
  • Pinchen Xie
  • PACM
  • Simulating time-dependent Schrödinger equation with Coarse-grained spectral projection (CGSP)
Nov 30, 2020
12:30 pm
*Online Seminar*

ZOOM: https://princeton.zoom.us/j/94775657078

Title:  Simulating time-dependent Schrödinger equation with Coarse-grained spectral projection (CGSP)

Abstract: Numerical simulation of unitary quantum evolution is notoriously difficult due to exponentially increasing dimensionality of the underlying Hilbert space. We opened up a new avenue for this problem by introducing the coarse-grained spectral projection (https://arxiv.org/abs/2007.09788) of initial quantum state, with machine learning as our main toolbox. In this 15-minute talk, I’ll focus on providing basic physics background and motivation for CGSP in a mathematician-friendly manner ---- No preknowledge in quantum physics beyond the recognition of Schrödinger equation is needed.