Abstract
We study systems of a few charged bosons contained within a strongly anisotropic harmonic trap. A detailed examination of the ground-state correlation properties of two-, three-, and four-particle systems is carried out within the framework of the single-mode approximation of the transverse components. The linear correlation entropy of the quasi-1D systems is discussed in dependence on the confinement anisotropy and compared with a strictly 1D limit. Only at weak interaction the correlation properties depend strongly on the anisotropy parameter.
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References
L. Jacak, P. Hawrylak, A. Wójs, Quantum Dots (Springer, Berlin, 1997)
D.J. Wineland et al., Phys. Rev. Lett. 59, 2935 (1987)
T. Schneider, R. Blümel, J. Phys. B At. Mol. Opt. Phys. 32, 5017 (1999)
Y. He, C. Bao, J. Phys. B At. Mol. Opt. Phys. 34, 1641 (2001)
Y. Kim, A. Zubarev, Phys. Rev. A 64, 013603 (2001)
A. Gonzalez, B. Partoens, A. Matulis, F. Peeters, Phys. Rev. B 59, 1653 (1999)
M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)
M.D. Girardeau, E.M. Wright, J.M. Triscari, Phys. Rev. A 63, 033601 (2001)
X. Yin et al., Phys. Rev. A 78, 013604 (2008)
D. Murphy, J. McCann, J. Goold, T. Busch, Phys. Rev. A 76, 053616 (2007)
T. Sowiński et al., Phys. Rev. A 82, 053631 (2010)
C. Matthies, S. Zöllner, H.-D. Meyer, P. Schmelcher, Phys. Rev. A 76, 023602 (2007)
B. Sun, D. Zhou, L. You, Phys. Rev. A 73, 012336 (2006)
A. Coleman, V. Yukalov, Reduced Density Matrices (Springer, Berlin, 2000)
R. Yañez, A. Plastino, J. Dehesa, Eur. Phys. J. D 56, 141 (2010)
J.S. Dehesa et al., J. Phys. B At. Mol. Opt. Phys. 45, 015504 (2012)
D. Manzano et al., J. Phys. A Math. Theor. 43, 275301 (2010)
P. Kościk, A. Okopińska, Phys. Lett. A 374, 3841 (2010)
G.E. Astrakharchik, M.D. Girardeau, Phys. Rev. B 83, 153303 (2011)
R. Kosloff, H. Tal-Ezer, Chem. Phys. Lett. 127, 223 (1986)
M.G. Raizen et al., Phys. Rev. A 45, 6493 (1992)
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Kościk, P., Okopińska, A. Ground-state correlation properties of charged bosons trapped in strongly anisotropic harmonic potentials. Eur. Phys. J. B 85, 93 (2012). https://doi.org/10.1140/epjb/e2012-20964-x
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DOI: https://doi.org/10.1140/epjb/e2012-20964-x