TY - GEN UR - https://archiv.ub.uni-heidelberg.de/volltextserver/32051/ AV - public ID - heidok32051 KW - quantum science and technology KW - quantum simulation KW - ultracold atoms KW - quantum many-body systems KW - dynamical correlations KW - fluctuation-dissipation relation KW - linear response theory KW - non-Hermitian physics KW - thermalization KW - transport phenomena KW - strongly correlated systems KW - supersolidity KW - spin-orbit coupling KW - Bose-Einstein condensates KW - collective excitations KW - analog cosmology KW - cosmological reheating KW - far-from-equilibrium dynamics KW - universality TI - Probing Dynamics and Correlations in Cold-Atom Quantum Simulators N2 - Cold-atom quantum simulators offer unique possibilities to prepare, manipulate, and probe quantum many-body systems. However, despite the high level of control in modern experiments, not all observables of interest are easily accessible. This thesis aims at establishing protocols to measure currently elusive static and dynamic properties of quantum systems. The experimental feasibility of these schemes is illustrated by means of numerical simulations for relevant applications in many-body physics and quantum simulation. In particular, we introduce a general method for measuring dynamical correlations based on non-Hermitian linear response. This enables unbiased tests of the famous fluctuation-dissipation relation as a probe of thermalization in isolated quantum systems. Furthermore, we develop ancilla-based techniques for the measurement of currents and current correlations, permitting the characterization of strongly correlated quantum matter. Another application is geared towards revealing signatures of supersolidity in spin-orbit-coupled Bose gases by exciting the relevant Goldstone modes. Finally, we explore a scenario for quantum-simulating post-inflationary reheating dynamics by parametrically driving a Bose gas into the regime of universal far-from-equilibrium dynamics. The presented protocols also apply to other analog quantum simulation platforms and thus open up promising applications in the field of quantum science and technology. Y1 - 2022/// CY - Heidelberg A1 - Geier, Kevin Thomas ER -