Machine learning topological defeats formation with neural networks in a quantum phase transition
- Title Machine learning topological defeats formation with neural networks in a quantum phase transition
- Speaker 石汉清 博士（北京航空航天大学）
- Date 2022年05月12日 10:00
- Venue Join Zoom Meeting https://zoom.us/j/81768881099?pwd=OGJnc1ZlY29sU1BzMWNtNWZLcjNhZz09 Meeting ID: 817 6888 1099 Passcode: 895035
The strong representing power of neural networks make it become a powerful tool for solving quantum many-body systems. Except for static solutions, nonequilibrium processes are more challenging for neural networks. We study time evolutions of the energy spectra and the universal statistics of topological defects beyond Kibble-Zurek mechanism after a quantum phase transition in a transverse Ising model by virtue of the state-of-the-art neural networks and machine learning methods. This algorithm has two steps. First step is to represent the ground state of paramagnetic phase with neural network quantum state and machine learning; The second step is to quench the system from paramagnetic phase to ferromagnetic phase with time dependent variational Monte Carlo method. During the quantum phase transition, topological defeats will emerge due to Kibble-Zurek mechanism by neural network. The first three cumulants of the topological defect numbers and the energy spectra for this transverse Ising model are computed after a linear quench. The resulting outcomes match the analytical predictions very well.