Unveiling order from chaos by approximate 2-localization of random matrices.

ABSTRACT: Quantum many-body systems are typically endowed with a tensor product structure. A structure they inherited from probability theory, where the probability of two independent events is the product of the probabilities. The tensor product structure of a Hamiltonian thus gives a natural decomposition of the system into independent smaller subsystems. It is interesting to understand whether a given Hamiltonian is compatible with some particular tensor product structure. In particular, we ask, is there a basis in which an arbitrary Hamiltonian has a 2-local form, i.e., it contains only pairwise interactions? Here we show, using analytical and numerical calculations, that a generic Hamiltonian (e.g., a large random matrix) can be approximately written as a linear combination of two-body interact

SUBMITTER: Loizeau N 

PROVIDER: S-EPMC10523668 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature