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.
Adam Artymowicz (California): Hamiltonian learning via energy-entropy inequalities
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