2016/06/23 by Richard Fern, Steven H. Simon · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Eigenvalues and eigenvectors #Electron #Enhanced Data Rates for GSM Evolution #Luttinger liquid #Mathematical analysis #Mathematics #Physics #Polynomial #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectrum (functional analysis) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.95.201108
published as Phys. Rev. B 95, 201108 (2017) · 4 pages, 2 figures
arxiv created 2016/06/23 · openalex publication_date 2017/05/18 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short-ranged interparticle interactions. We find that the eigenstates have a Jack polynomial structure, and have an energy spectrum which is extremely different from the well-known Luttinger liquid edge.