Abstract:
We present full three-dimensional numerical calculations of single vortex states in rotating dipolar condensates. We consider a Bose-Einstein condensate of C 52 r atoms with dipole-dipole and s -wave contact interactions confined in an axially symmetric harmonic trap. We obtain the vortex states by numerically solving the Gross-Pitaevskii equation in the rotating frame with no further approximations. We investigate the properties of a single vortex and calculate the critical angular velocity for different values of the s -wave scattering length. We show that, whereas the standard variational approach breaks down in the limit of pure dipolar interactions, exact solutions of the Gross-Pitaevskii equation can be obtained for values of the s -wave scattering length down to zero. The energy barrier for the nucleation of a vortex is calculated as a function of the vortex displacement from the rotation axis for different values of the angular velocity of the rotating trap. © 2009 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Vortices in Bose-Einstein condensates with dominant dipolar interactions |
Autor: | Abad, M.; Guilleumas, M.; Mayol, R.; Pi, M.; Jezek, D.M. |
Filiación: | Departament d'Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, E-08028 Barcelona, Spain Departamento de Física, Facultad de Ciencias Exactas y Naturales, Consejo Nacional de Investigaciones Científicas y Técnicas, RA-1428 Buenos Aires, Argentina
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Palabras clave: | Axially symmetric; Bose-Einstein condensates; Contact interaction; Dipolar interaction; Dipole-dipole; Exact solution; Gross-Pitaevskii equation; Harmonic trap; Rotating frame; Rotating trap; Rotation axis; S-wave scattering lengths; Single vortices; Three-dimensional numerical calculations; Variational approaches; Vortex displacements; Vortex state; Angular velocity; Bose-Einstein condensation; Electromagnetic wave scattering; Rotation; Shear waves; Steam condensers; Vortex flow |
Año: | 2009
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Volumen: | 79
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Número: | 6
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.79.063622 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n6_p_Abad |
Referencias:
- Griesmaier, A., Werner, J., Hensler, S., Stuhler, J., Pfau, T., (2005) Phys. Rev. Lett., 94, p. 160401. , 10.1103/PhysRevLett.94.160401
- Beaufils, Q., Chicireanu, R., Zanon, T., Laburthe-Tolra, B., Maréchal, E., Vernac, L., Keller, J.-C., Gorceix, O., (2008) Phys. Rev. A, 77, p. 061601. , 10.1103/PhysRevA.77.061601
- Werner, J., Griesmaier, A., Hensler, S., Stuhler, J., Pfau, T., Simoni, A., Tiesinga, E., (2005) Phys. Rev. Lett., 94, p. 183201. , 10.1103/PhysRevLett.94.183201
- Lahaye, T., Koch, T., Fröhlich, B., Fattori, M., Metz, J., Griesmaier, A., Giovanazzi, S., Pfau, T., (2007) Nature (London), 448, p. 672. , 10.1038/nature06036
- Koch, T., Lahaye, T., Metz, J., Fröhlich, B., Griesmaier, A., Pfau, T., (2008) Nat. Phys., 4, p. 218. , 10.1038/nphys887
- Metz, J., Lahaye, T., Fröhlich, B., Griesmaier, A., Pfau, T., Saito, H., Kawaguchi, Y., Ueda, M., (2009) New J. Phys., 11, p. 055032. , 10.1088/1367-2630/11/5/055032
- Lahaye, T., Metz, J., Fröhlich, B., Koch, T., Meister, M., Griesmaier, A., Pfau, T., Ueda, M., (2008) Phys. Rev. Lett., 101, p. 080401. , 10.1103/PhysRevLett.101.080401
- Santos, L., Shlyapnikov, G.V., Zoller, P., Lewenstein, M., (2000) Phys. Rev. Lett., 85, p. 1791. , 10.1103/PhysRevLett.85.1791
- O'Dell, D.H.J., Giovanazzi, S., Eberlein, C., (2004) Phys. Rev. Lett., 92, p. 250401. , 10.1103/PhysRevLett.92.250401
- Parker, N.G., Ticknor, C., Martin, A.M., O'Dell, D.H.J., (2009) Phys. Rev. A, 79, p. 013617. , 10.1103/PhysRevA.79.013617
- Dutta, O., Meystre, P., (2007) Phys. Rev. A, 75, p. 053604. , 10.1103/PhysRevA.75.053604
- Ronen, S., Bortolotti, D.C.E., Bohn, J.L., (2007) Phys. Rev. Lett., 98, p. 030406. , 10.1103/PhysRevLett.98.030406
- Donnelly, R.J., (1991) Quantized Vortices in Helium II, , Cambridge University Press, Cambridge, England
- Wilson, R.M., Ronen, S., Bohn, J.L., Pu, H., (2008) Phys. Rev. Lett., 100, p. 245302. , 10.1103/PhysRevLett.100.245302
- Yi, S., Pu, H., (2006) Phys. Rev. A, 73, p. 061602. , 10.1103/PhysRevA.73.061602
- O'Dell, D.H.J., Eberlein, C., (2007) Phys. Rev. A, 75, p. 013604. , 10.1103/PhysRevA.75.013604
- Wilson, R.M., Ronen, S., Bohn, J.L., (2009) Phys. Rev. A, 79, p. 013621. , 10.1103/PhysRevA.79.013621
- Klawunn, M., Santos, L., (2009) New J. Phys., 11, p. 055012. , 10.1088/1367-2630/11/5/055012
- Klawunn, M., Nath, R., Pedri, P., Santos, L., (2008) Phys. Rev. Lett., 100, p. 240403. , 10.1103/PhysRevLett.100.240403
- Even though 3D effects on vortex states should be more evident in cigar shaped configurations than in pancake ones, the stability of the condensate with a→0 is far more assured in the latter. Therefore, in order to reach stable configurations in the limit a=0 we restrict ourselves to pancake geometries; Góral, K., Santos, L., (2002) Phys. Rev. A, 66, p. 023613. , 10.1103/PhysRevA.66.023613
- Góral, K., Rzewski, K., Pfau, T., (2000) Phys. Rev. A, 61, p. 051601. , 10.1103/PhysRevA.61.051601
- Frigo, M., Johnson, S.G., (2005) Proc. IEEE, 93, p. 216. , 10.1109/JPROC.2004.840301
- Martikainen, J.-P., MacKie, M., Suominen, K.-A., (2001) Phys. Rev. A, 64, p. 037601. , 10.1103/PhysRevA.64.037601
- Menotti, C., Lewenstein, M., Lahaye, T., Pfau, T., (2007) AIP Conf. Proc., 970, p. 332. , 10.1063/1.2839130
- Eberlein, C., Giovanazzi, S., O'Dell, D.H.J., (2005) Phys. Rev. A, 71, p. 033618. , 10.1103/PhysRevA.71.033618
- Stuhler, J., Griesmaier, A., Koch, T., Fattori, M., Pfau, T., Giovanazzi, S., Pedri, P., Santos, L., (2005) Phys. Rev. Lett., 95, p. 150406. , 10.1103/PhysRevLett.95.150406
- If another definition for the radius is used (for instance, the full width at half maximum) the actual values of R, Rz, and κ are different but we checked that they predict the same behavior for the cloud aspect ratio; Dalfovo, F., Giorgini, S., Pitaevskii, L.P., Stringari, S., (1999) Rev. Mod. Phys., 71, p. 463. , 10.1103/RevModPhys.71.463
- Fetter, A.L., Svidzinsky, A.A., (2001) J. Phys.: Condens. Matter, 13, p. 135. , 10.1088/0953-8984/13/12/201
- Cooper, N.R., Rezayi, E.H., Simon, S.H., (2005) Phys. Rev. Lett., 95, p. 200402. , 10.1103/PhysRevLett.95.200402;
- Zhang, J., Zhai, H., (2005) Phys. Rev. Lett., 95, p. 200403. , 10.1103/PhysRevLett.95.200403;
- Komineas, S., Cooper, N.R., (2007) Phys. Rev. A, 75, p. 023623. , 10.1103/PhysRevA.75.023623
- Jezek, D.M., Capuzzi, P., Cataldo, H.M., (2008) J. Phys. B, 41, p. 045304. , 10.1088/0953-4075/41/4/045304
- Lundh, E., Pethick, C.J., Smith, H., (1997) Phys. Rev. A, 55, p. 2126. , 10.1103/PhysRevA.55.2126
- Fetter, A.L., (2009) Rev. Mod. Phys., 81, p. 647. , 10.1103/RevModPhys.81.647
- Krämer, M., Pitaevskii, L.P., Stringari, S., Zambelli, F., (2002) Laser Phys., 12, p. 113
- Jezek, D.M., Barranco, M., Guilleumas, M., Mayol, R., Pi, M., (2004) Phys. Rev. A, 70, p. 043630. , 10.1103/PhysRevA.70.043630
Citas:
---------- APA ----------
Abad, M., Guilleumas, M., Mayol, R., Pi, M. & Jezek, D.M.
(2009)
. Vortices in Bose-Einstein condensates with dominant dipolar interactions. Physical Review A - Atomic, Molecular, and Optical Physics, 79(6).
http://dx.doi.org/10.1103/PhysRevA.79.063622---------- CHICAGO ----------
Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M.
"Vortices in Bose-Einstein condensates with dominant dipolar interactions"
. Physical Review A - Atomic, Molecular, and Optical Physics 79, no. 6
(2009).
http://dx.doi.org/10.1103/PhysRevA.79.063622---------- MLA ----------
Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M.
"Vortices in Bose-Einstein condensates with dominant dipolar interactions"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, 2009.
http://dx.doi.org/10.1103/PhysRevA.79.063622---------- VANCOUVER ----------
Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M. Vortices in Bose-Einstein condensates with dominant dipolar interactions. Phys Rev A. 2009;79(6).
http://dx.doi.org/10.1103/PhysRevA.79.063622