During the project period, the work has been achieved by the fellow is summarized below
* Deliverables and Milestones
Most of the deliverables and milestones are achieved. Only WP2 is slightly detoured.
* Numerical Script
The work within the project period, the state-of-the-art method for modelling the FDM system is developed and seriously tested to compare with the fundamental properties from existing literature and the numerical scripts in both MATLAB and JULIA languages are uploaded on GitHub,
https://github.com/ligeston/FuzzyDarkMatter(öffnet in neuem Fenster) which will be openly accessed once the documentation is completed. For now, it is only privately shared with a few collaborators, including PhD students and postdoctoral researchers at Newcastle University, as a trial for finalizing documentation and improving the generality for users, but people requesting access to code will be added as collaborators on GitHub on their demands.
* Dissemination
After a year of the project, Dr Liu visited several groups and attended conferences to interact with international experts and present our findings. He visited Prof Shive’s group at National Taiwan University and Prof. Ying-Nong Chen and Prof. Chorng-Yuan Hwang at National Central University from January to February, Prof Thomas Gasenzer and Prof Luca Amendola at Heidelberg University and Prof Franco Dalfovo at Trento University with group discussions and giving seminars about our results. He presented our work at conference venues in person, including Identification of Dark Matter 2022 in Vienna in July, International Conference on QUANTUM GASES FUNDAMENTAL INTERACTIONS AND COSMOLOGY in August in Pisa, Italy, and XV Tonale Winter School on Cosmology in December in Italy, and had given online seminar invited at University of Oslo and Max-Planck-Institut für Astrophysik. It has been giving him sufficient exposure and enriching him with lots of experience in interacting with cosmology groups around the world.
* Data analysis
Our findings are based on comprehensive investigations led by the beneficiary on the possible physical quantities, including, classical kinetic, quantum pressure, self-interaction and gravitational potential energies and their energy density distribution, power and energy spectra, etc. In addition, the unique data visualization skills bring insightful images for the features we have found.
* Proceeding works for publication
Apart from the current published work, we are preparing further publications on the role of self-interaction, see attached figures, and on the core oscillation from the perspective of elementary excitations via a quasi-particle approach, rather than a single-particle excited states perspective. The former will potentially guide us to constrain the fundamental properties of FDM, such as mass and self-coupling strength, and further unveils more features on quantum vortices in the system with additional length scale. The latter can provide us with more precise results and different pictures of how the core is oscillating and interacting with the outer halo from the elementary excitation point of view. In addition, we are examining our current finding via cooperating with one of the world's leading groups, Prof Shi-Yu Schive at National Taiwan University, Taiwan, to ensure our finding is generic. These works are expected to be published with open-access licenses in suitable journals.
