2002/11/05 by Brett Altschul, B. Altschul, C. Rebbi · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.soft
paper · pdf · doi:10.1103/physreva.69.032111
published as Phys. Rev. A 69, 032111 (2004) · 9 pages
arxiv created 2002/11/05 · openalex publication_date 2004/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine Maris' [J. Low. Temp. Phys. 120, 173 (2000)] recent suggestion that the fission of electron-inhabited bubbles in liquid helium may give rise to a new form of electron fractionization. We introduce a one-dimensional toy model---a simplified analog of the helium system---which may be analyzed using the Born-Oppenheimer approximation. We find that none of the model's low-lying energy eigenstates have the form suggested by Maris' computations, in which the bubbles were treated completely classically. Instead, the eigenstates are quantum-mechanically entangled superposition states, which the classical treatment overlooks.