Does a Single Eigenstate of a Hamiltonian Encode the Critical Behaviour of its Finite-Temperature Phase Transition?
arXiv:1810.11092
Abstract
Recent work on the subject of isolated quantum thermalization has suggested that an individual energy eigenstate of a non-integrable quantum system may encode a significant amount of information about that system's Hamiltonian. We provide a theoretical argument, along with supporting numerics, that this information includes the critical behaviour of a system with a second-order, finite-temperature phase transition.
6 pages, 2 figures. Minor modifications to conclusion and references in version 2. Please E-mail authors to request a copy of the supplementary material