TopoPha

Ciljevi

• Istražiti topološka svojstva valova svjetlosti u fotoničkim rešetkama.
• Istražiti dinamiku i topološka svojstva odabranih kvantnih sustava s međudjelovanjem.
• Istražiti matematičke aspekte problema u topologiji, teoriju verteks-algebri i vezu s fizikalnim teorijama.

Osnovni podaci 

• Naziv projekta: Topološke faze (TopoPha)
• Razdoblje provedbe: 1. 10. 2025. – 30. 9. 2029.
• Voditelj projekta: izv. prof. dr. sc. Dario Jukić
• Članovi istraživačkog tima: Patrik Vasung, Alen Andrašek i Miran Bednjač
• Ukupna vrijednost projekta: 31.778,93 EUR
• Izvor financiranja: Europska unija – NextGenerationEU

Odabrani rezultati

• Y. Wang et al., “Quadratic Band Touching and Nontrivial Winding Reveal Generalized Angular Momentum Conservation,” Physical Review Letters 137, 023803 (2026). https://doi.org/10.1103/br8b-n4b4

  K. Lelas and D. Jukić, “An alternative approach to several important systems in classical mechanics: energy factorization,” European Journal of Physics 47, 035012 (2026). https://doi.org/10.1088/1361-6404/ae7857

  A. Andrašek, M. Kazalicki, and D. Vlah, “Quartic rational Diophantine quadruples and the Euler surface,” The Ramanujan Journal 70 (2026), Article 62. https://doi.org/10.1007/s11139-026-01439-w

Projekt TopoPha (100-021/26) financiran je sredstvima Europske unije – NextGenerationEU.

Topological Phases

Project description

The TopoPha project investigates systems with nontrivial topological phases, focusing on applications in photonics and quantum technologies. The research explores theoretical and numerical approaches to the topological properties of light waves, the dynamics of interacting quantum systems, and mathematical aspects of topology and related physical theories.

Objectives

• To investigate the topological properties of light waves in photonic lattices.
• To study the dynamics and topological properties of selected interacting quantum systems.
• To investigate mathematical aspects of topology, vertex algebras, and their connections to physical theories.

Project information

• Project title: Topological Phases (TopoPha)
• Project duration: 1 October 2025 – 30 September 2029
• Principal Investigator: Associate Professor Dario Jukić
• Research team members: Patrik Vasung, Alen Andrašek, and Miran Bednjač
• Total project value: EUR 31,778.93
• Funding source: European Union – NextGenerationEU

Selected results

Y. Wang et al., “Quadratic Band Touching and Nontrivial Winding Reveal Generalized Angular Momentum Conservation,” Physical Review Letters 137, 023803 (2026). https://doi.org/10.1103/br8b-n4b4

K. Lelas and D. Jukić, “An alternative approach to several important systems in classical mechanics: energy factorization,” European Journal of Physics 47, 035012 (2026). https://doi.org/10.1088/1361-6404/ae7857

A. Andrašek, M. Kazalicki, and D. Vlah, “Quartic rational Diophantine quadruples and the Euler surface,” The Ramanujan Journal 70 (2026), Article 62. https://doi.org/10.1007/s11139-026-01439-w

The TopoPha project (100-021/26) is funded by the European Union – NextGenerationEU.