Tensor Network Study of the (1+1)-Dimensional Thirring Model
Mari Carmen Bañuls1, Krzysztof Cichy2,3, Ying-Jer Kao4, C.-J. David Lin5, Yu-Ping Lin4, David Tao-Lin Tan5*
1Max-Planck-Institut für Quantenoptik, Garching, Germany
2Faculty of Physics, Adam Mickiewicz University, Poznan, Poland
3Institut für Theoretische Physik, Goethe-Universität Frankfurt, Frankfurt am Main, Germany
4Department of Physics, National Taiwan University, Taipei, Taiwan
5Institute of Physics, National Chiao Tung University, Hsinchu, Taiwan
* Presenter:David Tao-Lin Tan
Tensor Network methods have been established as a powerful technique for simulating low dimensional strongly-correlated systems for over two decades. Employing the formalism of Matrix Product States, we investigate the phase diagram of the massive Thirring model. We also show the possibility of studying soliton dynamics and topological phase transition via the Thirring model.

Keywords: The Thirring model, Tensor Network, Matrix Product States, Topological phase transition