Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
We propose a general method to embed target states into the middle of the energy spectrum of a many-body Hamiltonian as its energy eigenstates. Employing this method, we construct a translationally invariant local Hamiltonian with no local conserved quantities, which does not satisfy the eigenstate thermalization hypothesis. The absence of …