We investigate lower bounds to the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable models of quantum field theory. Our main results are a state-independent QEI for models with constant scattering function and a QEI at one-particle level for generic models. In the latter case, we classify the possible form of the stress-energy tensor from first principles and establish a link between the existence of QEIs and the large-rapidity asymptotics of the two-particle form factor of the energy density. Concrete examples include the Bullough-Dodd, the Federbush, and the $O(n)$-nonlinear sigma models.
Integrable multi-species SSEP with reactive particle species
Laboratoire d’Annecy de Physique Théorique（阿讷西理论物理实验室）；Université Reims Champagne-Ardenne（兰斯香槟阿登大学）；Laboratoire de Mathématiques de Reims, UMR CNRS 9008（兰斯数学实验室）
Integrable and Chaotic 4-Dimensional Lotka-Volterra Models and Population Sustainability
College of Health and Science, University of Lincoln（林肯大学健康与科学学院）；School of Computing and Digital Media, London Metropolitan University（伦敦城市大学计算与数字媒体学院）；Department of Electrical and Computer Engineering, University of Peloponnese（伯罗奔尼撒大学电气与计算机工程系）；Department of Mathematics, University of Patras（帕特雷大学数学系）
