Get started
Work

Ultracold Atoms: Applications in Metrology and Fundamental Properties of Quantum Droplets

Year: 2024
Type: dissertation
Abstract: In the past decades, cold atoms have been indispensable tools in the study of fundamental physics and its application to quantum technologies. Due to the high degree of controllability they can be used to investigate systems over wide ranges of parameter regimes and, as will be important in my thesis, not only in three dimensions but also in lower dimensions, and in equilibrium and out-of-equilibrium. In particular, I explore this vast landscape primarily through my work on two topics involving quantum metrology and quantum mixtures. In the first topic, I study how a Floquet-engineered bosonic system in a one dimensional lattice can be utilized as a platform for quantum metrology. In particular, I focus on determining how the quantum Fisher information, a quantity that is related to the lower bound of precision measurement, can be optimized in this setup, and then discuss other strategies that are realizable in an experimental setup. The second topic focuses on quantum mixtures involving a relatively new phase of matter called quantum droplets, where I study the effects of introducing impurities in one case and the dependence on dimensionality in the other. In the second project, I show that the introduction of fermionic impurities to the droplet leads to noticeable deviations in the ground state and dynamical properties as the interactions between droplet and fermions is increased and, in the same manner, the fermionic properties are also altered with clear signatures in the density. In the third project, I show that characterizing the droplet as 2D or quasi-2D heavily relies on the mean-field interactions as well as the transversal trapping strength. In regions where the 2D and quasi-2D descriptions are comparable, however, differences in the observed ground state and dynamical properties still arise as different LHY corrections are valid in different descriptions.
DOI: 10.15102/0002000762
Language: English
Open Access status: green
OpenAlex ID: W6942605281
Cites:
Cited by:
Related to: