TY  - GEN
Y1  - 2024///
ID  - heidok35657
CY  - Heidelberg
N2  - In this thesis, we study the thermalization properties in both closed and periodically driven systems subject to spatial inhomogeneities. In Part 1, we focus on long-range Heisenberg spin models of spatially disordered spins which can be realized experimentally by current state-of-the-art platforms. We find numerically that the disordered couplings induced by the randomly positioned spins can lead to a many-body localized regime. Using perturbative arguments based on the real-space renormalization group, we demonstrate that the emergent quasi-conserved quantities arise from pairs of strongly interacting spins decoupling from their environment. Predictions from the resulting effective model of pairs are compared to real experimental data from a Rydberg quantum simulator for validation and are found to be highly accurate. In Part 2, we shift our focus to periodically driven systems which are known to exhibit long-lived (meta-)stable states under certain conditions. Specifically, we consider an ordered Ising chain subject to a driving field of varying strength across different parts of the chain. We demonstrate that a configuration where the driving field has the same strength for all spins except one can dramatically prolong time-crystalline signatures. We link this behavior to the presence of approximate conservation laws stabilized by the spatial inhomogeneity. Additionally, we present preliminary results on the possibility to create a time crystal by driving the pair model derived in the first part.
AV  - public
A1  - Braemer, Adrian Lukas
TI  - Quantum dynamics of disordered many-body spin systems : effects of spatial disorder in a dipolar, frozen gas and influence of spatial inhomogeneity in periodically driven systems
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/35657/
ER  -