Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

18 Jun 2019, 15:20
20m
Shimao 1A+1B

Shimao 1A+1B

Parallel Theoretical Developments Theoretical Developments

Speaker

Prof. C.-J. David Lin (National Chiao-Tung University)

Description

In this talk, we present concluding results from our study of phase structure of the lattice version of the massive Thirring model in 1+1 dimensions. Employing the method of matrix product state (MPS), several quantities have been investigated, leading to firm numerical evidence of a Kosterlitz-Thouless phase transition. In particular, we examine two correlators and determine the relevant exponents. Exploratory results for real-time dynamics pertaining to this phase transition, obtained using the approaches of variational uniform MPS and time-dependent variational principle, will also be discussed.

Authors

Prof. C.-J. David Lin (National Chiao-Tung University) Mr David T.-L. Tan (National Chiao-Tung University) Mr Hao-Ti Hung (National Taiwan University) Prof. Krzysztof Cichy (Adam Mickiewicz University, Poznan) Dr Mari Carmen Banuls (MPQ and MCQST Munich) Prof. Ying-Jer Kao (National Taiwan University) Mr Yu-Ping Lin (University of Colorado at Boulder)

Presentation materials