Phase structure and real-time dynamics of 1+1 dimensional massive Thirring model from matrix product states Mari Carmen Banuls ^{1}, Krzysztof Cichy^{2}, Hao-Ti Hung^{3}, Ying-Jer Kao^{3}, David Lin^{4,5*}, Yu-Ping Lin^{6}, David T.-L. Tan^{4}^{1}Max Plank Institute for Quantum Optics, Max Planck Institute, Munich, Germany^{2}Department of Physics, Adam Mikiewicz University, Poznan, Poland^{3}Department of Physics, National Taiwan University, Taipei, Taiwan^{4}Institute of Physics, National Chiao-Tung University, Hsinchu, Taiwan^{5}Institute for High Energy Physics, Chung-Yuan Christian University, Chung-Li, Taiwan^{6}Department of Physics, University of Colorado, Boulder, CO, USA* Presenter:David Lin, email:dlin@mail.nctu.edu.tw 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 |