Status
Completed

Period
26 November – 3 December 2022

Applicant
Prof Theodora Ioannidou

Home Institution
Aristotle University of Thessaloniki, Thessaloniki, Greece

Host Contact
Prof Antti Niemi

Host Institution
Nordita, AlbaNova Univ. Center, Stockholm

Aim of the mission
Since the beginning of our meeting we start discussing our next steps after our major accomplishment in obtaining a new algebra published in Phys. Rev. D 106, 054514. Our goal is to extend our framework to quantum time crystal. In particular, by looking at the second Hamiltonian of the Heisenberg model we want to relate the spin vectors using what we call vertex and link coordinates and study the bi-Hamiltonian structure obtained in both formulations introduced in our earlier work Phys. Rev. D 95, (2017), 085003. This is a highly non-trivial task with many applications in quantum time crystals, protein folding and related areas of research.

Summary of the Results
-We clarify the basis of our research by setting exactly the main tasks and steps need to be done in order to set the problem and solve it.
-We also start working on numerical simulations in the known equation of motion obtained using the first Hamiltonian of the Heisenberg model along a close string. In this case, the boundary conditions to be used are unique and not trivial in the formulation of Phys. Rev. D 106, 054514 so their identification need to be obtain. We discussed some optimized steps in order to accomplish this task.

Dissemination
We decided to continue our collaboration in a more direct way, ie. by spending a year to NORDITA where Prof Niemi is located taking the opportunity to spend my sabbatical leave from Aristotle University.