2008/04/30 by M. Daoud, M Daoud, A. Hamama +1
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Boson #Boundary (topology) #Cold Atom Physics and Bose-Einstein Condensates #Product (mathematics) #Quantization (signal processing) #Quantum #Random Matrices and Applications #Space (punctuation) #Spectral Theory in Mathematical Physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/41/20/205205
published as J.Phys.A41:205205,2008 · 17 pages
openalex publication_date 2008/04/30 · arxiv created 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a large collection of particles obeying Ar statistics. The system behaves like a quantum droplet characterized by a constant Husimi distribution. We show that the excitations of this system live on the boundary of the droplet and they are described by an effective chiral boson action generalizing the Wess-Zumino-Witten theory in two dimension. Our analysis is based on the Fock-Bargmann analytical representations associated to Ar statistics. The quantization of the theory describing the dynamics on the edge is achieved. As by product, we prove that the edge excitations are given by a tensorial product of r abelian bosonic fields.