Nonequilibrium dynamics of quantum many-body systems: from lattice to quantum field theoriesKukuljan, Ivan (Avtor) Prosen, Tomaž (Mentor) Takács, Gábor (Komentor) Nonequilibrium many-body quantum physicsquantum chaosOut-of-time-ordered correlationskicked quantum Ising modelquantum sine-Gordon modelultra-cold atoms in the atom chipcorrelation functionsTCSAbosonisationhorizontransportThis doctoral thesis is in the field of nonequilibrium quantum physics. Using nonperturbative methods for the computation of the dynamics of many body quantum systems, both systems on lattices and quantum field theories, we address several open questions. We study the applicability in lattice systems with local interaction of the Out-of-time-ordered correlation functions, a recently proposed measure of many-body quantum chaos. We propose a more suitable measure of chaos for these systems and prove a bound on its growth. We study its dynamics in the kicked quantum Ising model. Based on Truncated conformal space approach, we develop a methodology for the computation of time-dependent multi-point correlation functions in interacting (1+1)D quantum field theories. We use it to study correlations and the nonGaussianity of the quantum sine-Gordon model and thus provide theory for experiments with ultra-cold atoms in the atom chip. We discover a new effect in quantum field theory of correlations propagating outside the causal horizon. We prove the effect analytically using the bosonisation and interpret it as a field theoretical version of the Einstein-Podolsky-Rosen entanglement due to topological excitations. We study boundary driven quantum field theory and demonstrate that the sine-Gordon model admits ballistic transport of the topological charge.20192019-10-16 07:45:03Doktorsko delo/naloga111849VisID: 103232COBISS_ID: 3384164sl