Shortcut to adiabaticity and sustainable entanglement in long-range quantum systems

Recent progress in various disciplines of physics has established our ability to control quantum effects in quantum devices and thus paving the way for promising near-future quantum technologies. Shortcut to adiabaticity is one of such techniques that can be used to suppress defects which arise due to the presence of a quantum critical point in between a quantum quench. In this talk I will be exploiting long-range systems for implementing shortcut to adiabaticity using an inhomogeneous quench. In the first part of the talk, I will focus on how to identify the critical to noncritical crossover in such long-range models just by looking at the correlation function and then show that it is possible to get a defect-free state only when the inhomogeneous front moves slower than a characteristic crossover velocity. In the second part, I will talk about scenarios where we can get sustainable entanglement at least over some reasonable duration when the system interacts with some noisy environment.