Quantum spin systems are many-body models which are of wide interest in
modern physics and at the same time amenable to rigorous mathematical
analysis. A central question about a quantum spin system is whether its
Hamiltonian exhibits a spectral gap above the ground state. The
existence of such a spectral gap has far-reaching consequences, e.g.,
for the ground state correlations. In this talk, we survey recent
progress on deriving spectral gaps for frustration-free quantum spin
systems in dimensions greater than 1, including in the antiferromagnetic
models of Affleck-Kennedy-Lieb-Tasaki (AKLT).
Zoom identificator

Meeting ID: 814 591 7621
Passcode: 147983