Ground-state properties of hard-core anyons in a harmonic potential
نویسندگان
چکیده
منابع مشابه
Ground state properties of a one - dimensional condensate of hard core bosons in a harmonic trap
The exact N-particle ground state wave function for a one-dimensional con-densate of hard core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N 0.59 , in contrast to N 0.5 for a sp...
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The claim put forward in [1, 2] that the energies of the “missing” states of three anyons in a harmonic potential depend linearly on the statistics parameter, is incorrect because the wave functions proposed do not satisfy the anyonic interchange conditions. Since a subset of eigenstates of the problem of three anyons in a harmonic potential was worked out analytically in [3] (the energy eigenv...
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We study non-linear ground states of the Gross–Pitaevskii equation in the space of one, two and three dimensions with a radially symmetric harmonic potential. The Thomas–Fermi approximation of ground states on various spatial scales was recently justified using variational methods. We justify here the Thomas–Fermi approximation on an uniform spatial scale using the Painlevé-II equation. In the ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2016
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.93.063627