One of the most fascinating concepts of modern-day physics is emergence, the process whereby complex macroscopic properties arise from the interaction of many simple-behaved constituents. In such phenomena, the main role is played by interactions and these become more and more
effective when the constituents are constrained to a one-dimensional geometry. For example, the traffic on a single line road can switch from fluid to jammed by slightly increasing the density of cars above a certain critical value. In the same way, the movement of many interacting quantum particles in one dimension is collective and they behave as a fluid. When prepared in an out-of-equilibrium situation, particles reorganize themselves in an unusual, hardto- predict manner. How to efficiently understand how they evolve in time, having only macroscopic data on the initial conditions at our disposal, is a question I aim to address in my future research.