Bruckmann, Falk and Jansen, Karl and Kuhn, Stefan (2019) O(3) nonlinear sigma model in 1+1 dimensions with matrix product states. PHYSICAL REVIEW D, 99 (7): 074501. ISSN 2470-0010, 2470-0029
Full text not available from this repository.Abstract
We numerically study the spectral properties, the entanglement and the zero-temperature phase structure at nonvanishing chemical potential of the O(3) nonlinear sigma model. Using matrix product states, a particular kind of one-dimensional tensor network state, we show that we are able to reach the asymptotic scaling regime and to reproduce the analytical predictions for the mass gap at vanishing chemical potential. In addition, we study the scaling of the entanglement entropy towards the continuum limit obtaining a central charge consistent with 2. Moreover, our approach does not suffer from the sign problem and we also explore the phase structure of the model for nonzero chemical potential and map out the location of the transitions between different charge sectors with high precision.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HEISENBERG SPIN SYSTEMS; EXACT MASS GAP; RENORMALIZATION-GROUP; GAUGE-THEORIES; O(N); |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Apr 2020 12:25 |
| Last Modified: | 14 Apr 2020 12:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27264 |
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