Due to experimental advances, the dynamics of strongly correlated systems is at the forefront of interest in contemporary research. In low-dimensional systems, quantum fluctuations are enhanced, and strong correlations often occur. Despite these complications, a number of such systems are integrable, which allows derivation of many exact results. In addition, there exist very powerful non-perturbative techniques which can be used even when integrability is broken. Recently there has been a tremendous progress in understanding equilibration and thermalisation, as well as the special equilibrium states (generalised Gibbs ensemble) characterising integrable systems. However, much less is understood concerning the temporal unfolding of out-of-equilibrium dynamics, and also transport properties.

 

Our specific aims include:

 

- to extend methods to simulate the time evolution in local quenches;

- dynamics and transport properties of strongly correlated spin chains and field theories;

- implementation of the Lindblad dynamics and quantum trajectories approach;

- dynamics in open spin chains and quantum field theories. 

 

We shall apply existing, and also develop new, analytic and numerical methods to investigate these issues, and to obtain a full quantum description of the dynamics both in the continuum and on the lattice. Besides solving theoretical problems, we also aim to obtain results that are directly relevant in the experimental context.