Data: Sexta-Feira 04/12/2015, Sala A5-01, 11 am.
Palestrante: Lucas Céleri (UFG)
Título:Geometric time-energy uncertainty relations
The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the interpretation of the time-energy uncertainty relations as lower bounds for the minimal evolution time between two distinguishable states of a quantum system, also known as quantum speed limits. I will discuss how the non uniqueness of a measure of distinguishability defined on the quantum state space affects the quantum speed limits and can be exploited in order to derive improved bounds. Specifically, based on an information geometric formalisman, an infinite family of quantum speed limits valid for unitary and nonunitary evolutions, is establish. This family unifies and generalizes existing results on quantum speed limits, and provides instances of novel bounds which are tighter than any established one based on the conventional quantum information. Moreover, the role of classical populations versus quantum coherences in the determination and saturation of the speed limits are clarified. ~~DISCUSSION~~