Coulomb crystallites from harmonically confined charged bosons in two dimensions
We exploit rotational-symmetry breaking in the one-body density to examine the formation of structures in systems of N strongly coupled charged bosons with logarithmic repulsions inside isotropic two-dimensional harmonic traps, with N in the range from 2 to 7. The results serve as a map for ordered...
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| Autor principal: | |
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| Otros Autores: | , , , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2008
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| Sumario: | We exploit rotational-symmetry breaking in the one-body density to examine the formation of structures in systems of N strongly coupled charged bosons with logarithmic repulsions inside isotropic two-dimensional harmonic traps, with N in the range from 2 to 7. The results serve as a map for ordered arrangements of vortices in a trapped Bose-Einstein condensate. Two types of N-body wavefunctions are assumed: (i) a permanent of N identical Gaussian orbitals centred at variationally determined sites, and (ii) a permanent of N orthogonal orbitals built from harmonic-oscillator energy eigenstates. With increasing coupling strength, the bosons in the orbitals localize into polygonal-ringlike crystalline patterns ('Wigner molecules'), whereas the wavefunctions describe low energy excited states containing delocalized bosons as in supersolid crystallites ('supermolecules'). For N = 2 at strong coupling both states describe a Wigner dimer. © IOP Publishing Ltd. |
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| ISSN: | 09538984 |
| DOI: | 10.1088/0953-8984/20/33/335222 |