Phase structure and real-time dynamics of 1+1 dimensional massive Thirring model from matrix product states
Mari Carmen Banuls1, Krzysztof Cichy2, Hao-Ti Hung3, Ying-Jer Kao3, David Lin4,5*, Yu-Ping Lin6, David T.-L. Tan4
1Max Plank Institute for Quantum Optics, Max Planck Institute, Munich, Germany
2Department of Physics, Adam Mikiewicz University, Poznan, Poland
3Department of Physics, National Taiwan University, Taipei, Taiwan
4Institute of Physics, National Chiao-Tung University, Hsinchu, Taiwan
5Institute for High Energy Physics, Chung-Yuan Christian University, Chung-Li, Taiwan
6Department of Physics, University of Colorado, Boulder, CO, USA
* Presenter:David Lin,
We present our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product states, several quantities are investigated, leading to numerical evidence of a Berezinskii-Kosterlitz-Thouless phase transition. Exploratory results for real-time dynamics and dynamical quantum phase transition, obtained using the approaches of variational uniform matrix product state and time-dependent variational principle, are also discussed.

Keywords: lattice field theory, tensor networks, matrix product states, two-dimensional quantum field theory