Quantum speed limit and optimal control of many-boson dynamics

摘要: We apply the concept of quantum speed limit (QSL)---the minimal time needed to perform a driven evolution---to complex interacting many-body systems where effects interactions have be taken into account. introduce general strategy eliminate detrimental interparticle repulsion and drive system at QSL by applying compensating control pulse (CCP). To prove principles we consider prototypical system, bosonic Josephson junction, investigate transfer atoms from ground state one well neighboring well, increasing levels complexity---from textbook two-level approximation full treatment. By tracing efficiency CCP protocol show that dynamics does follow geodetic pathway and, therefore, it is optimal. The strategy, applicable for with strong driving, can practical relevance experimental implementation technology protocols, as simulations or matter-wave metrology.