Speaker
Mr
Nicholas LaRacuente
(University of Illinois at Urbana-Champaign)
Description
In an interacting quantum system far from equilibrium, initially local
information spreads into and melds with its environment. This has many
manifestations, from entanglement spread in quantum quenches to
environmental coupling induced by quantum channels. The rate of
entropy spread is often difficult to calculate outside of free,
perturbative or holographic regimes. We propose an operator algebra
approach to the problem. The close connection between Rényi entropies
and non-commutative measures has yielded strong results in the channel
setting. We apply similar ideas to the setting of many-body quantum
quenches, including in the SYK model. We discuss connections to chaos
and rates of scrambling. For practical applications, we consider how
our methods apply to decoherence in quantum computation and memory.