arXiv subjects

D. A. Yarotsky

Publications and source records attributed to D. A. Yarotsky.

2 recordsLinked to original sources

arXiv2004

Ground states in relatively bounded quantum perturbations of classical lattice systems

We consider ground states in relatively bounded quantum perturbations of classical lattice models. We prove general results about such perturbations (existence of the spectral gap, exponential decay of truncated correlations, analyticity of the ground state), and also prove that in particular the AKLT model belongs to this class if viewed at large enough scale. This immediately implies a general perturbation theory about this model.

math-ph↗

arXiv2004

Quasi-particles in weak perturbations of non-interacting quantum lattice systems

We consider a general weak perturbation of a non-interacting quantum lattice system with a non-degenerate gapped ground state. We prove that the presence of isolated eigenvalues in the spectrum of the decoupled model leads to the existence of quasi-particles in the perturbed model. Also, a scattering theory for asymptotically free many-particle states is developed.

math-ph↗