| Title |
Artificial magnetic field for ultracold atoms in optical lattices / |
| Translation of Title |
Dirbtinis magnetinis laukas labai šaltiems atomams optinėse gardelėse. |
| Authors |
Andrijauskas, Tomas |
| Full Text |
|
| Pages |
164 |
| Keywords [eng] |
quantum mechanics ; ultracold atoms ; quantum Hall effect ; topology ; Chern number |
| Abstract [eng] |
Ultracold atoms in optical lattices are very interesting and exciting quantum systems that can be used to simulate various condensed matter phenomena and study interesting quantum phenomena such as quantum entanglement. Both applications lead to the fields of quantum simulation and quantum information. Since ultracold atoms are electrically neutral the conventional magnetic fields do not affect them in the same way as it affects point charges. However, there are various different ways to create artificial magnetic field and simulate the effect of Lorentz-type force acting on the atoms. In the dissertation we study topological effects – quantum Hall effect – produced by two types of artificial magnetic fields: staggered and non-staggered. The former field is local to the lattice and sums up to zero flux over each elementary cell. The latter doesn’t sum up to zero flux and in average resembles uniform magnetic field. In the dissertation we do theoretical analysis on two different lattices: dice optical lattice and flux lattice, which is created using multi-frequency radiation. The dice optical lattice has a staggered magnetic field and exhibits interesting topological phases such us topological semimetal while the flux lattice has non-staggered magnetic field and produces Landau-like energy levels. In addition, both lattices can have phases with Chern numbers larger than one in modulus leading to stronger quantum Hall effects. |
| Dissertation Institution |
Vilniaus universitetas. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2018 |
