Dr Arpad Lukacs' Outputs (7)

Randomly Formed Polyhedral Cages (2025)
Journal Article
Lukács, Á., & Piette, B. M. A. G. (2025). Randomly Formed Polyhedral Cages. Axioms, 14(2), Article 83. https://doi.org/10.3390/axioms14020083

Polyhedral cages (or p-cages) are a generalisation of the polyhedron surface: they are objects in three-dimensional space consisting of planar polygons attached along shared edges but allowed to have holes and thus edges not shared by two polygons. T... Read More about Randomly Formed Polyhedral Cages.

Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes (2025)
Journal Article
Piette, B., & Lukács, Á. (2025). Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes. Symmetry, 17(1), Article 101. https://doi.org/10.3390/sym17010101

Polyhedral cages (p-cages) describe the geometry of some families of artificial protein cages. We identify the p-cages made out of families of equivalent polygonal faces such that the faces of one family have five neighbors and P1 edges, while those... Read More about Bi-Symmetric Polyhedral Cages with Maximally Connected Faces and Small Holes.

Negative radiation pressure in Bose-Einstein condensates. (2024)
Journal Article
Ciurla, D., Forgács, P., Lukács, Á., & Romańczukiewicz, T. (2024). Negative radiation pressure in Bose-Einstein condensates. Physical Review E, 109(1), Article 014228. https://doi.org/10.1103/PhysRevE.109.014228

In two-component nonlinear Schrödinger equations, the force exerted by incident monochromatic plane waves on an embedded dark soliton and on dark-bright-type solitons is investigated, both perturbatively and by numerical simulations. When the incomin... Read More about Negative radiation pressure in Bose-Einstein condensates..

Activation of metrologically useful genuine multipartite entanglement (2024)
Journal Article
Trényi, R., Lukács, Á., Horodecki, P., Horodecki, R., Vértesi, T., & Tóth, G. (2024). Activation of metrologically useful genuine multipartite entanglement. New Journal of Physics, 26(2), Article 023034. https://doi.org/10.1088/1367-2630/ad1e93

We consider quantum metrology with several copies of bipartite and multipartite quantum states. We characterize the metrological usefulness by determining how much the state outperforms separable states. We identify a large class of entangled states... Read More about Activation of metrologically useful genuine multipartite entanglement.

Near-Miss Bi-Homogenous Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B., & Lukács, Á. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804. https://doi.org/10.3390/sym15091804

Following the discovery of an artificial protein cage with a paradoxical geometry, we extend the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages, for which all the faces are equivalent, and define bi-homogeneous symme... Read More about Near-Miss Bi-Homogenous Symmetric Polyhedral Cages.

Near-Miss Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B. M. A. G., & Lukács, Á. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717

Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible config... Read More about Near-Miss Symmetric Polyhedral Cages.

Charge screening in the Abelian Higgs model (2021)
Journal Article
Forgács, P., & Lukács, Á. (2021). Charge screening in the Abelian Higgs model. The European Physical Journal C, 81(3), Article 243. https://doi.org/10.1140/epjc/s10052-021-09022-x

In the Abelian Higgs model electric (and magnetic) fields of external charges (and currents) are screened by the scalar field. In this contribution, complementing recent investigations of Ishihara and Ogawa, we present a detailed investigation of cha... Read More about Charge screening in the Abelian Higgs model.