TENSOR NETWORKS: FROM SIMULATIONS TO HOLOGRAPHY III

Thirring model from tensor networks - phase structure and real-time dynamics

Nov 19, 2020, 9:00 a.m.

50m

Perimeter Institute

Speaker

Krzysztof Cichy (Adam Mickiewicz University)

Description

In this talk, we report on our studies of the Thirring model using MPS techniques. The Thirring model is a quantum field theory describing self-interactions of the Dirac field in 1+1 dimensions. It evinces a non-trivial zero-temperature phase structure in the mass-interaction plane, with gapless (critical) and gapped (massive) phases separated by a Berezinskii-Kosterlitz-Thousless-type transition. To investigate this phase structure, we examined the entanglement entropy, the fermion bilinear condensate and two types of correlation functions. We also show our preliminary results of the real-time dynamics of the Thirring model, using variational uniform MPS and time-dependent variational principle.
Co-Authors:
Mari Carmen Banuls, Max-Planck Institute of Quantum Optics
Hao-Ti Hung, National Taiwan University
Ying-Jer Kao, National Taiwan University
C.-J. David Lin, National Chiao-Tung University
Yu-Ping Lin, University of Colorado at Boulder
Amit Singh, National Chiao-Tung University
David T. L. Tan, National Chiao-Tung University