Ultracold ensembles of atoms are ideal systems to study many-body quantum physics with high precision and resolution. Due to their exceptional level of controllability, novel states of matter, such as large particle entangled states, can be engineered and investigated in-depth. Such states can be exploited for various quantum technology applications ranging from quantum computing to metrology. The realisation of entanglement in many-body systems, however, is very challenging and optimal control theory is becoming an indispensable tool to attain this objective.
The goal is to apply optimal control to a Bose-Einstein condensate with two spin degrees of freedom, in order to maximize the entanglement between the two spin components via atomic collisions in an experimentally realistic scenario. In this project you will learn about ultracold atoms and their entanglement while mastering theoretical tools including optimal control methods. You will numerically model the coupled non-linear Schrödinger equations in presence of atomic losses and integrate them with optimal control. In particular, you will investigate the performance of the optimisation algorithm, analyse the efficiency of the entanglement protocol and develop control strategies for generating entanglement in spinor condensates.
International collaboration: The project is connected to experiments carried out at the University of Basel (Prof. Philipp Treutlein) and in collaboration with the theory of quantum control at the Center for Optical Quantum Technology of the University of Hamburg (Dr. Antonio Negretti). You will interact closely with those groups and work in an international environment, while performing theoretical work in an experimentally realistic scenario.