Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Coulomb crystallites from harmonically confined charged bosons in two dimensions |
Autor: | Mese, A.I.; Capuzzi, P.; Akdeniz, Z.; Okan, S.E.; Tosi, M.P. |
Filiación: | Department of Physics, Trakya University, 22030 Edirne, Turkey Consejo Nacional de Investigaciones Científicas y Técnicas, Departamento de Física, Universidad de Buenos Aires, Buenos Aires, RA-1428, Argentina Physics Department, Istanbul University, 34134 Vezneciler-Istanbul, Turkey Department of Electrical Education, Kirklareli University, Kirklareli, Turkey NEST-CNR-INFM, Scuola Normale Superiore, I-56126 Pisa, Italy
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Palabras clave: | 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 |
Año: | 2008
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Volumen: | 20
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Número: | 33
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DOI: |
http://dx.doi.org/10.1088/0953-8984/20/33/335222 |
Título revista: | Journal of Physics Condensed Matter
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Título revista abreviado: | J Phys Condens Matter
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ISSN: | 09538984
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CODEN: | JCOME
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v20_n33_p_Mese |
Referencias:
- Nelson, D.R., Seung, H.S., (1989) Phys. Rev., 39 (13), p. 9153
- Minnhagen, P., (1987) Rev. Mod. Phys., 59 (4), p. 1001
- Xing, L., Tesanovic, Z., (1990) Phys. Rev. Lett., 65 (6), p. 794
- Ma, H.-R., Chui, S.T., (1991) Phys. Rev. Lett., 67 (4), p. 505
- Sengupta, S., Dasgupta, C., Krishnamurthy, H.R., Menon, G.I., Ramakrishnan, T.V., (1991) Phys. Rev. Lett., 67 (24), p. 3444
- Menon, G.I., Dasgupta, C., Krishnamurthy, H.R., Ramakrishnan, T.V., Sengupta, S., (1996) Phys. Rev., 54 (22), p. 16192
- Nordborg, H., Blatter, G., (1997) Phys. Rev. Lett., 79 (10), p. 1925
- Matthews, M.R., Anderson, B.P., Haljan, P.C., Hall, D.S., Wieman, C.E., Cornell, E.A., (1999) Phys. Rev. Lett., 83 (13), p. 2498
- Madison, K.W., Chevy, F., Wohlleben, W., Dalibard, J., (2000) Phys. Rev. Lett., 84 (5), p. 806
- Abo-Shaeer, J.R., Raman, C., Vogels, J.M., Ketterle, W., (2001) Science, 292 (5516), p. 476
- Leanhardt, A.E., Görlitz, A., Chikkatur, A.P., Kielpinski, D., Shin, Y., Pritchard, D.E., Ketterle, W., (2002) Phys. Rev. Lett., 89 (19), p. 190403
- Fetter, A.L., Svidzinsky, A.A., (2001) J. Phys.: Condens. Matter, 13 (12), p. 135
- Rokhsar, D.S., (1997) Phys. Rev. Lett., 79 (12), p. 2164
- Yannouleas, C., Landman, U., (1999) Phys. Rev. Lett., 82 (26), p. 5325
- Yannouleas, C., Landman, U., (2002) Phys. Rev. Lett., 85 (10), p. 2220
- Yannouleas, C., Landman, U., (2003) Phys. Rev., 68 (3), p. 035325
- Romanovsky, I., Yannouleas, C., Landman, U., (2004) Phys. Rev. Lett., 93 (23), p. 230405
- Ring, P., Schuck, P., (1980) The Nuclear Many-Body Problem
- Reimann, S.M., Manninen, M., (2002) Rev. Mod. Phys., 74 (4), p. 1283
- Andreev, A.F., Lifshitz, I.M., (1969) Sov. Phys.-JETP, 29, p. 1107
- Chester, G.V., (1970) Phys. Rev., 2 (1), p. 256
- Leggett, A., (1970) Phys. Rev. Lett., 25 (22), p. 1543
- Anderson, P.W., (1984) Basic Notions of Condensed Matter Physics
- Kim, E., Chan, M.H.W., (2004) Nature, 427 (6971), p. 225
- Kim, E., Chan, M.H.W., (2004) Science, 305 (5692), p. 1941
- Day, J., Herman, T., Beamish, J., (2005) Phys. Rev. Lett., 95 (3), p. 035301
- Partoens, B., Deo, P.S., (2004) Phys. Rev., 69 (24), p. 245415
- Apolinario, S.W.S., Partoens, B., Peeters, F.M., (2005) Phys. Rev., 72 (4), p. 046122
- Barbern, N., Lewenstein, M., Osterloh, K., Dagnino, D., (2006) Phys. Rev., 73 (6), p. 063623
- Baym, G., Pethick, C.J., (1996) Phys. Rev. Lett., 76 (1), p. 6
- Cederbaum, L.S., Streltsov, A.I., (2003) Phys. Lett., 318 (6), p. 564
- Cederbaum, L.S., Streltsov, A.I., (2004) Phys. Rev., 70 (2), p. 023610
- Masiello, D., McKagan, S.B., Reinhardt, W.P., (2005) Phys. Rev., 72 (6), p. 063624
- Yannouleas, C., Landman, U., (2001) Eur. Phys. J., 16 (1), p. 373
- Yannouleas, C., Landman, U., (2002) J. Phys.: Condens. Matter, 14 (34), p. 591
- Yannouleas, C., Landman, U., (2004) Phys. Rev., 69 (11), p. 113306
- Pederiva, F., Umrigar, C.J., Lipparini, E., (2000) Phys. Rev., 62 (12), p. 8120
- Gattobigio, M., Capuzzi, P., Polini, M., Asgari, R., Tosi, M.P., (2005) Phys. Rev., 72 (4), p. 045306
Citas:
---------- APA ----------
Mese, A.I., Capuzzi, P., Akdeniz, Z., Okan, S.E. & Tosi, M.P.
(2008)
. Coulomb crystallites from harmonically confined charged bosons in two dimensions. Journal of Physics Condensed Matter, 20(33).
http://dx.doi.org/10.1088/0953-8984/20/33/335222---------- CHICAGO ----------
Mese, A.I., Capuzzi, P., Akdeniz, Z., Okan, S.E., Tosi, M.P.
"Coulomb crystallites from harmonically confined charged bosons in two dimensions"
. Journal of Physics Condensed Matter 20, no. 33
(2008).
http://dx.doi.org/10.1088/0953-8984/20/33/335222---------- MLA ----------
Mese, A.I., Capuzzi, P., Akdeniz, Z., Okan, S.E., Tosi, M.P.
"Coulomb crystallites from harmonically confined charged bosons in two dimensions"
. Journal of Physics Condensed Matter, vol. 20, no. 33, 2008.
http://dx.doi.org/10.1088/0953-8984/20/33/335222---------- VANCOUVER ----------
Mese, A.I., Capuzzi, P., Akdeniz, Z., Okan, S.E., Tosi, M.P. Coulomb crystallites from harmonically confined charged bosons in two dimensions. J Phys Condens Matter. 2008;20(33).
http://dx.doi.org/10.1088/0953-8984/20/33/335222