Abstract
We study the dynamics of a rotating trapped Bose–Einstein condensate (BEC) at finite temperatures. Using the Zaremba–Nikuni–Griffin formalism, based on a generalized Gross–Pitaevskii equation for the condensate coupled to a semiclassical kinetic equation for a thermal cloud, we numerically simulate vortex lattice formation in the presence of a time-dependent rotating trap potential. At low rotation frequency, the thermal cloud undergoes rigid body rotation, while the condensate exhibits irrotational flow. Above a certain threshold rotation frequency, vortices penetrate into the condensate and form a vortex lattice. Our simulation result clearly indicates a crucial role for the thermal cloud, which triggers vortex lattice formation in the rotating BEC.
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References
K. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett 84, 806 (2000)
J.R. Abo-Shaeer, C. Raman, J.M. Vogels, W. Ketterle, Science 476, 292 (2001)
E. Hodby, G. Hechenblaikner, S.A. Hopkins, O.M. Maragò, C.J. Foot, Phys. Rev. Lett 88, 010405 (2002)
M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)
K. Kasamatsu, M. Machida, N. Sasa, M. Tsubota, Phys. Rev. A 71, 063616 (2005)
A.A. Penckwitt, R.J. Ballagh, C.W. Gardiner, Phys. Rev. Lett 89, 260402 (2002)
A. Griffin, T. Nikun, E. Zaremba, Bose-Condensed Gases at Finite Temperatures (University Press, Cambridge, 2009)
P.C. Haljan, I. Coddington, P. Engels, E.A. Cornell, Phys. Rev. Lett. 87, 210403 (2001)
D. Guéry-Odelin, Phys. Rev. A 62, 033607 (2000)
E. Zaremba, T. Nikuni, A. Griffin, J. Low Temp. Phys. 116, 277 (2009)
J.E. Williams, E. Zaremba, B. Jackson, T. Nikuni, A. Griffin, Phys. Rev. Lett. 88, 070401 (2002)
B. Jackson, N.P. Proukakis, C.F. Barenghi, E. Zaremba, Phys. Rev. A 79, 053615 (2009)
A.J. Allen, E. Zaremba, C.F. Barenghi, N.P. Proukakis, Phys. Rev. A 87, 013603 (2013)
A.J. Allen, S. Zuccher, M. Caliari, N.P. Proukakis, N.G. Parker, C.F. Barenghi, Phys. Rev. A 90, 013601 (2014)
B. Jackson, E. Zaremba, Phys. Rev. A 66, 033606 (2002)
S. Giorgini, L.P. Pitaevskii, S. Stringari, J. Low Temp. Phys. 109, 309 (1997)
T. Nikuni, Phys. Rev. A 65, 033611 (2002)
Acknowledgments
This work was supported by Grants-in-Aid (No. 25887018 and No. 25400419) from the Japan Society for the Promotion of Science.
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Arahata, E., Nikuni, T. Formation of Vortex Lattices in Superfluid Bose Gases at Finite Temperatures. J Low Temp Phys 183, 191–198 (2016). https://doi.org/10.1007/s10909-016-1559-z
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DOI: https://doi.org/10.1007/s10909-016-1559-z