IISER MOHALI

Abstract: This talk will provide a simple overview of many shades of speed limits and their physical significance. Time permitting, I will also discuss their relevance for emerging quantum technologies, as well as for nonequilibrium physics and thermodynamics. Quantum Physics imposes fundamental limits on the speed of physical evolution. These bounds, known as quantum speed limits, determine the minimum time required for a quantum system to evolve from one state to another. In the case of unitary dynamics, they are closely related to the time-energy uncertainty relation, with the evolution time bounded by the inverse of the energy fluctuation. Over the years, the idea of quantum speed limits has grown far beyond its original setting. Today, such bounds are known not only for state evolution, but also for the rates of change of various physically relevant quantities, such as expectation values of observables and quantum resources including coherence and entanglement, even under general open system dynamics. Remarkably, similar notions of speed limits have also been derived for various classical dynamics.