Analysis of Bosonic Systems with Long-Range Interactions: the Gravitational and Dipolar cases

ongoing

This project addresses the effects of thermal particles on the condensate phase for bosons, focusing on systems with long-range interactions at finite temperatures. We explore ultra-light bosonic particles as dark matter candidates in cosmology and extend the study to cold atomic systems under dipolar interactions. Our approach involves a recently developed theoretical framework using non-equilibrium quantum field theory to describe two-component bosonic systems, condensed and thermal, under long-range interactions. We will create a specialized simulation code to study the dynamics of condensate and thermal particles in both cosmological and atomic contexts. This code aims to fill critical gaps in current research and will be made publicly available with detailed documentation. The project will involve two main objectives: (1) developing and validating this code, and (2) investigating pivotal problems in the dynamics of dipolar and cosmological quantum gases. By comparing results with existing methods and exploring new phenomena, this research seeks to provide significant advancements and uncover valuable analogies between ultracold atom and dark matter studies.