Hamiltonian learning via energy-entropy inequalities

28.01.2025 14:30 - 15:30

Adam Artymowicz (California Institute of Technology)

Abstract: In this talk I will describe a new algorithm for determining a local Hamiltonian from local expectations of its Gibbs state. The algorithm works by imposing a set of correlation inequalities that arise from local thermodynamic stability. I will argue that it is well-suited for use in quantum many-body theory by determining entanglement Hamiltonians, which are useful diagnostics of entanglement in quantum many-body states. A prominent example is 2+1d topological order, where it is believed that entanglement Hamiltonians can be used to measure the chiral central charge of the boundary CFT.

Organiser:
N. Schuch (U Wien)
Location:

Fakultät für Physik, Erwin Schrödinger-Hörsaal, Boltzmanng. 5, 5. St., 1090 Wien