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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todo:paper_09538984_v20_n33_p_Mese2023-10-03T15:51:28Z Coulomb crystallites from harmonically confined charged bosons in two dimensions Mese, A.I. Capuzzi, P. Akdeniz, Z. Okan, S.E. Tosi, M.P. Bose-Einstein condensation Crystallites Harmonic analysis Nanocrystalline alloys Steam condensers Coupling strengths Crystalline patterns Einstein condensates Gaussian orbitals Harmonic traps Low energies Ordered arrangements Oscillator energies Strong couplings Supermolecules Supersolid Two dimensions Two types Wavefunctions Wigner molecules Bosons 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09538984_v20_n33_p_Mese |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Bose-Einstein condensation Crystallites Harmonic analysis Nanocrystalline alloys Steam condensers Coupling strengths Crystalline patterns Einstein condensates Gaussian orbitals Harmonic traps Low energies Ordered arrangements Oscillator energies Strong couplings Supermolecules Supersolid Two dimensions Two types Wavefunctions Wigner molecules Bosons |
spellingShingle |
Bose-Einstein condensation Crystallites Harmonic analysis Nanocrystalline alloys Steam condensers Coupling strengths Crystalline patterns Einstein condensates Gaussian orbitals Harmonic traps Low energies Ordered arrangements Oscillator energies Strong couplings Supermolecules Supersolid Two dimensions Two types Wavefunctions Wigner molecules Bosons Mese, A.I. Capuzzi, P. Akdeniz, Z. Okan, S.E. Tosi, M.P. Coulomb crystallites from harmonically confined charged bosons in two dimensions |
topic_facet |
Bose-Einstein condensation Crystallites Harmonic analysis Nanocrystalline alloys Steam condensers Coupling strengths Crystalline patterns Einstein condensates Gaussian orbitals Harmonic traps Low energies Ordered arrangements Oscillator energies Strong couplings Supermolecules Supersolid Two dimensions Two types Wavefunctions Wigner molecules Bosons |
description |
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. |
format |
JOUR |
author |
Mese, A.I. Capuzzi, P. Akdeniz, Z. Okan, S.E. Tosi, M.P. |
author_facet |
Mese, A.I. Capuzzi, P. Akdeniz, Z. Okan, S.E. Tosi, M.P. |
author_sort |
Mese, A.I. |
title |
Coulomb crystallites from harmonically confined charged bosons in two dimensions |
title_short |
Coulomb crystallites from harmonically confined charged bosons in two dimensions |
title_full |
Coulomb crystallites from harmonically confined charged bosons in two dimensions |
title_fullStr |
Coulomb crystallites from harmonically confined charged bosons in two dimensions |
title_full_unstemmed |
Coulomb crystallites from harmonically confined charged bosons in two dimensions |
title_sort |
coulomb crystallites from harmonically confined charged bosons in two dimensions |
url |
http://hdl.handle.net/20.500.12110/paper_09538984_v20_n33_p_Mese |
work_keys_str_mv |
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1807321361679384576 |