Collective Modes of Anyons Localized in 2D Anisotropic Harmonic Potential
DOI:
https://doi.org/10.47494/mesb.v29i.1537Keywords:
2D, AnisotropicAbstract
The goal of our research is to investigate the collective modes of the anyons localized in 2D parabolic well and get the right exact expression for their collective mode frequencies. A study of the collective motion of atomic gases, localized in the harmonic trap, belongs to class of actual and interesting problems of physics of ultra-cold atomic and molecular systems. A topology of systems allows to exist the particles, whoes statistics may be orbitrary between bosons and fermions, therefore they call anyons. And these anyons are described with parameter and may be determined in the interval between ones for bosons and fermions. The one of intriguing problem of ultra-cold atomic gases is a study of the role of the anyon statistics to the system centre mass mode frequencies.
Downloads
References
M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); C.C. Bradley, C.A. Sackett, J.J. Tollet, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfeee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999); A.S. Parkins, D.F. Walls, Phys. Rep. 303, 1 (1998); A. Griffin, cond-mat/9911419.
S. Stringari, Phy. Rev. Lett. 77, 2360 (1996).
V.M. Perez-Garcia, H. Michinel, J.I. Cirac, M. Lewenstein, P. Zoller, Phys. Rev. Lett. 77, 5320 (1996).
Y. Castin, R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
Y. Kagan, E.L. Surokov, G. Shlyapnikov, Phys. Rev. A 54, R1753 (1996).
Pippa Storey, M. Olshanii, Phys. Rev. A 62, 033604 (2000).
D.S. Jin, J.R. Ensher, M.R. Matthews, C.E. Wiemann, E.A. Cornell, Phys. Rev. Lett. 77, 420 (1996); M.O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Drfee, C.G. Townsend, W. Ketterle, Phys. Rev. Lett. 77, 988 (1996).
D.S. Jin, M.R. Matthews, J.R. Ensher, C.E. Wiemann, E.A. Cornell, Phys. Rev. Lett. 78, 764 (1997).
B. DeMacro, D.S. Jin, Science 285, 1703 (1999); M.O. Mewes, G. Ferrari, F. Schreck, A. Sinatra, C. Salomon, Phys. Rev. A 61, 011403(R) (2000).
D.A. Butts, D.S. Rokhsar, Phys. Rev. A 55, 4346 (1997).
L. Salasnich, B. Pozz, A. Parola, L. Reatto, J. Phys. B 33, 3943 (2000).
M. Amoruso, I. Meccoli, A. Minguzzi, M.P. Tosi, Eur. Phys. J. D 7, 441 (1999).
L. Vichi, S. Stringari, Phys. Rev. A 60, 4734 (1999).
G.M. Brunn, C.W. Clark, Phys. Rev. Lett. 83, 5415 (2000).
A. Minguzzi, M.P. Tosi, Phys. Rev. A 63, 023609 (2001).
M.A. Baranov, D.S. Petrov, Phys. Rev. A 62, 041601 (2000).
T. Haugset, H. Haugerud, Phys. Rev. A 57, 3809 (1998); S.K. Adhikari, Phys. Rev. E 62, 2937 (2000); T.K. Ghosh, Phys. Rev. A 63, 013603 (2001).
T.-L. Ho, M. Ma, J. Low Temp. Phys. 115, 61 (1999).
L.P. Pitaevskii, A. Rosch, Phys. Rev. A 55, R853 (1997); P.K. Ghosh, Phys. Rev. A 65, 012103 (2002).
T.K. Ghosh, Phys. Lett. A 285, 222 (2001). [22] P.K. Ghosh, cond-mat/0109073.
T.-L. Ho, C.V. Ciobanu, Phys. Rev. Lett. 85, 4648 (2000); S. Ghosh, M.V.N. Murthy, S. Sinha, Phys. Rev. A 64, 053603 (2001).
A. Gorlitz et al., Phys. Rev. Lett. 87, 130402 (2001).
S. Burger et al., cond-mat/0108037.
B.Abdullaev, C.H.Park, M.M.Musakhanov, Physica C 471, 486 (2011).
T.K. Ghosh, S. Sinha, Eur. Phys. J. D 19, 371 (2002).
Y.-S. Wu, Phys. Rev. Lett. 53, 111 (1984); Y.-S. Wu, Erratum ibid 53, 1028 (1984); R.B. Laughlin, Phys. Rev. Lett. 60, 2677 (1988).
A. Comtet, J. McCabe, S. Ouvry, Phys. Lett. B 260, 372 (1991).
Published
How to Cite
Issue
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
The work simultaneously licensed under a Creative Commons Attribution 4.0 International License
You are free to:
- Share — copy and redistribute the material in any medium or format
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
