| Title |
Ultracold atom dynamics in quasi-one-dimensional optical lattices / |
| Translation of Title |
Šaltųjų atomų dinamika kvazivienmatėse optinėse gardelėse. |
| Authors |
Žlabys, Giedrius |
| DOI |
10.15388/vu.thesis.318 |
| Full Text |
|
| Pages |
156 |
| Keywords [eng] |
time-space crystalline structure ; time crystal ; synthetic dimensions ; restricted Boltzmann machine ; autoencoder |
| Abstract [eng] |
Ultracold atoms trapped in optical lattices provide a clean and controllable environment to explore a large variety of quantum properties while avoiding problems arising from impurities and defects in condensed matter samples. In the first part of the thesis, we present a novel lattice model called a time-space crystalline structure. It exploits the spatial and temporal periodicity of a resonantly driven one-dimensional optical lattice to form an extra degree of freedom at each potential well. Such an effective quasi-one-dimensional lattice is used as a building block for engineering four- and six-dimensional systems. These time-space crystalline structures equipped with induced artificial magnetic fields offer a platform to probe topological effects in higher-dimensions. In the second part of the thesis, two neural networks are analyzed as tools for ground-state feature determination of quasi-one-dimensional and restricted geometry flat band models. A restricted Boltzmann machine is utilized to determine the ground state and its characteristic density formation. A feedforward autoencoder is applied as a secondary analysis tool to improve the ground-state estimate from a given set of noisy sample states. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2022 |
