2021/04/16 by Xinwei Fan, Xiaoyu Chen, Huan Yang +2
Mathematics · Physics and Astronomy · #Angular momentum #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Limit (mathematics) #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Thermodynamics #Upper and lower bounds #Vortex #cond-mat.supr-con
paper · pdf · doi:10.1209/0295-5075/ac3927
published in Europhysics Letters (EPL) 136(4), 46002 (Institute of Physics) · 4 pages, 5 figures
arxiv created 2021/04/16 · openalex publication_date 2021/11/01 · arxiv updated 2022/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the behavior of vortex bound states in the quantum limit by self-consistently solving the Bogoliubov-de Gennes equation. We find that the energies of the vortex bound states deviates from the analytical result Eμ=μΔ2/EF with the half-integer angular momentum μ in the extreme quantum limit. Specifically, the energy ratio for the first three orders is more close to 1:2:3 instead of 1:3:5 at extremely low temperature. The local density of states reveals an Friedel-like behavior associated with that of the pair potential in the extreme quantum limit, which will be smoothed out by thermal effect above a certain temperature even the quantum limit condition, namely T/Tc<Δ/EF is still satisfied. Our studies show that the vortex bound states can exhibit very distinct features in different temperature regimes, which provides a comprehensive understanding and should stimulate more experimental efforts for verifications.