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Résumé |
Abstract: I will consider the non-equilibrium dynamics of a recently introduced
class of "statistically solvable” many-body quantum systems: the dual-unitary
circuits. These systems furnish a minimal modelling of generic locally
interacting many-body quantum systems: they are generically non-integrable and
include a quantum chaotic subclass. I will first discuss the dynamics of
initial-state dependent quantities, such as the entanglement entropies and local
correlators, showing that it is possible to find (and classify) a family of
initial states in MPS form that allow for an exact solution of the dynamics
(also in the presence of quantum chaos). Then I will discuss the dynamics of an
initial-state independent quantity, the so called “operator entanglement”, that
measures the growth of entanglement that the Heisenberg evolution induces in
operator space. I will show that one can identify different subclasses of dual-
unitary circuits. In particular I will describe a “maximally chaotic” subclass,
where the entanglement of local operators grows linearly, and a “dynamically
constrained” one, where the entanglement of local operators is bounded. |
