3 problems

Correlated-catalysis free-energy conjecture. If

Let $H_S\in i\mathfrak u(n)$ be a finite-dimensional system Hamiltonian. A resonant bath Hamiltonian is a bath Hamiltonian whose energy levels have the degeneracy required to produ…

Let $H_S$ be a Hermitian Hamiltonian on an $n$-dimensional system, so that $H_S\in i\mathfrak u(n)$. For each temperature $T\in(0,\infty]$, let $\overline{\mathsf{TO}(H_S,T)}$ deno…