Rapidly rotating Bose-Einstein condensates in anharmonic confinement

• Autorzy: Li-Hua Lu , You-Quan Li
• Języki publikacji: EN

Abstrakty

EN

We study a rapidly rotating Bose-Einstein condensate in anharmonic confinement and find that many properties, such as the critical rotating frequency and phase diagram, are different from those in a harmonic trap. We investigate the phase transitions between various vortex lattices and find that a hole emerges in the center of the cloud when the rotating frequency Θ reaches Θh but it becomes invisible when Θ > 1.0842ω ⊥.

Słowa kluczowe

EN

Rotating Bose-Einstein condensate; critical rotational frequency; vortex lattice; vortex hole; 03.75.Lm; 03.75.Hh

• Czasopismo: Open Physics
• Rocznik: 2006
• Tom: 4
• Numer: 3
• Strony: 299-309

Daty

wydano

2006-09-01

online

2006-09-01

Twórcy

autor

Li-Hua Lu

• Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, People Republic of China,

autor

You-Quan Li

• Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou, 310027, People Republic of China

Bibliografia

• [1] E. Hodby, G. Hechenblaikner, S.A. Hopkins, O.M. Maraggraveo and C.J. Foot: “Vortex Nucleation in Bose-Einstein Condensates in an Oblate, Purely Magnetic Potential”, Phys. Rev. Lett., Vol. 88, (2002), art. 010405.
• [2] P.C. Haljan, I. Coddington, P. Engels and E.A. Cornell: “Driving Bose-Einstein-Condensate Vorticity with a Rotating Normal Cloud”, Phys. Rev. Lett., Vol. 87, (2001), art. 210403.
• [3] K.W. Madison, F. Chevy, W. Wohlleben and J. Dalibard: “Vortex Formation in a Stirred Bose-Einstein Condensate”, Phys. Rev. Lett., Vol. 84, (2000), pp. 806–809. http://dx.doi.org/10.1103/PhysRevLett.84.806[Crossref]
• [4] J.R. Abo-Shaeer, C. Raman, J.M. Vogels and W. Ketterle: “Observation of Vortex Lattices in Bose-Einstein Condensates”, Science, Vol. 292, (2001), pp. 476–479.
• [5] T.-L. Ho: “Bose-Einstein Condensates with Large Number of Vortices”, Phys. Rev. Lett., Vol. 87, (2001), art. 060403.
• [6] V. Bretin, S. Stock, Y. Seurin and J. Dalibard: “Fast Rotation of a Bose-Einstein Condensate”, Phys. Rev. Lett., Vol. 92, (2004), art. 050403.
• [7] U.R. Fischer and G. Baym: “Vortex States of Rapidly Rotating Dilute Bose-Einstein Condensates”, Phys. Rev. Lett., Vol. 90, (2003), art. 140402.
• [8] K. Kasamatsu, M. Tsubota and M. Ueda: “Giant hole and circular superflow in a fast rotating Bose-Einstein condensate”, Phys. Rev. A, Vol. 66, (2002), art. 053606.
• [9] E. Lundh: “Multiply quantized vortices in trapped Bose-Einstein condensates”, Phys. Rev. A, Vol. 65, (2002), art. 043604.
• [10] A.L. Fetter: “Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials”, Phys. Rev. A, Vol. 64, (2001), art. 063608.
• [11] E. Lundh, A. Collin and K.-A. Suominen: “Rotational States of Bose Gases with Attractive Interactions in Anharmonic Traps”, Phys. Rev. Lett., Vol. 92, (2004), art. 070401.
• [12] T.P. Simula, A.A. Penckwitt and R.J. Ballagh: “Giant Vortex Lattice Deformations in Rapidly Rotating Bose-Einstein Condensates”, Phys. Rev. Lett., Vol. 92, (2004), art. 060401.
• [13] A. Aftalion and I. Danaila: “Giant vortices in combined harmonic and quartic traps”, Phys. Rev. A, Vol. 69, (2004), art. 033608.
• [14] A.L. Fetter, B. Jackson and S. Stringari: “Rapid rotation of a Bose-Einstein condensate in a harmonic plus quartic trap”, Phys. Rev. A, Vol. 71, (2005), art. 013605.
• [15] A.D. Jackson, G.M. Kavoulakis and E. Lundh: “Phase diagram of a rotating Bose-Einstein condensate with anharmonic confinement”, Phys. Rev. A, Vol. 69, (2004), art. 053619.
• [16] A.D. Jackson and G.M. Kavoulakis: “Vortices and hysteresis in a rotating Bose-Einstein condensate with anharmonic confinement”, Phys. Rev. A, Vol. 70, (2004), art. 023601.
• [17] C.J. Pethick and H. Smith: Bose-Einstein Condensation in Dilute Gass, Cambridge University press, United Kingdom, 2002.
• [18] V. Subrahmanyam: “Rotating Bose-Einstein condensates with a large number of vortices”, Phys. Rev. A, Vol. 67, (2003), art. 035601.
• [19] T.K. Ghosh: “Vortex formation in a fast rotating Bose-Einstein condesate”, Phys. Rev. A, Vol. 69, (2004), art. 043606.
• [20] A. Aftalion, X. Blanc and J. Dalibard: “Vortex patterns in a fast rotating Bose-Einstein condensate”, Phys. Rev. A, Vol. 71, (2005), art. 023611.
• [21] G. Watanabe, G. Baym and C.J. Pethick: “Landau Levels and the Thomas-Fermi Structure of Rapidly Rotating Bose-Einstein Condensates”, Phys. Rev. Lett., Vol. 93, (2004), art. 190401.
• [22] E.J. Mueller and T.-L. Ho: “Two-Component Bose-Einstein Condensates with a Large Number of Vortices”, Phys. Rev. Lett., Vol. 88, (2002), art. 180403.
• [23] A. Aftalion and I. Danaila: “Giant vortices in combined harmonic and quartic traps”, (2003), http://arxiv.org/abs/cond-mat/0309668.
• [24] I. Danaila: “Three-dimensional vortex structure of a fast rotating Bose-Einstein condensate with harmonic-plus-quartic confinement”, (2005), http://arxiv.org/abs/cond-mat/0503122.
• [25] V. Schweikhard, I. Coddington, P. Engels, V.P. Mogendorff and E.A. Cornell: “Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level”, Phys. Rev. Lett., Vol. 92, (2004), art. 040404.

Identyfikatory

DOI

10.2478/s11534-006-0013-2