Status | Confirmed |
Seminar Series | FORUM-ENS |
Subjects | cond-mat.stat-mech |
Date | Wednesday 5 February 2020 |
Time | 12:00 |
Institute | LPENS |
Seminar Room | Conf. IV |
Speaker's Last Name | Bertini |
Speaker's First Name | Bruno |
Speaker's Email Address | |
Speaker's Institution | University of Ljubljana |
Title | Non-equilibrium dynamics in dual-unitary quantum circuits |
Abstract | 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. |
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