TY  - EJOUR
AU  - Bañuls, M. C.
AU  - Cichy, K.
AU  - Cirac, J. I.
AU  - Jansen, K.
AU  - Saito, H.
TI  - Thermal evolution of the Schwinger model with Matrix Product Operators
IS  - DESY-15-060
M1  - PUBDB-2015-02073
M1  - DESY-15-060
M1  - SFB-CPP-14-125
M1  - arXiv:1505.00279
PY  - 2015
N1  - OA
AB  - We demonstrate the suitability of tensor network techniques for describing the thermal evolution of lattice gauge theories. As a benchmark case, we have studied the temperature dependence of the chiral condensate in the Schwinger model, using matrix product operators to approximate the thermal equilibrium states for finite system sizes with non-zero lattice spacings. We show how these techniques allow for reliable extrapolations in bond dimension, step width, system size and lattice spacing, and for a systematic estimation and control of all error sources involved in the calculation. The reached values of the lattice spacing are small enough to capture the most challenging region of high temperatures and the final results are consistent with the analytical prediction by Sachs and Wipf over a broad temperature range.
LB  - PUB:(DE-HGF)25 ; PUB:(DE-HGF)29
UR  - https://bib-pubdb1.desy.de/record/209417
ER  -