Abstract.
We investigate the relation between quantum states and classical fixed-point bifurcations in a coupled two-component Bose-Einstein condensate (BEC). It is shown that the classical bifurcations are closely related to a topological change of the corresponding quantum levels, and such a structure change can be manifested in the entanglement properties of the corresponding quantum states. That is, the entanglement of the quantum states displays some peaks near the classical bifurcation points.
Similar content being viewed by others
References
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Communication (Cambridge University Press, Cambridge, 2000)
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999)
A. Osterloh, L. Amico, G. Falci, R. Fazio, Nature 416, 608 (2002)
T.J. Osborne, M.A. Nielsen, Phys. Rev. A 66, 032110 (2002)
G. Vidal, J.I. Latorre, E. Rico, A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003)
W. Hai, Ya Li, B. Xia, X. Luo, Europhys. Lett. 71, 28 (2005); W. Hai, G. Chong, Q. Xie, J. Lu, Eur. Phys. J. D 28, 267 (2004); W. Hai, C. Lee, X. Fang, K. Gao, Physica A 335, 445 (2004)
N. Lambert, C. Emary, T. Brandes, Phys. Rev. Lett. 92, 073602 (2004)
Q. Xie, W. Hai, Eur. Phys. J. D 33, 265 (2005)
L.F. Santos, G. Rigolin, C.O. Escobar, Phys. Rev. A 69, 042304 (2004)
S. Schneider, G.J. Milburn, Phys. Rev. A 65, 042107 (2002)
A.P. Hines, C.M. Dawson, R.H. McKenzie, G.J. Milburn, Phys. Rev. A 70, 022303 (2004)
A.P. Hines, R.H. McKenzie, G.J. Milburn, Phys. Rev. A 71, 042303 (2005)
X.W. Hou, J.H. Chen, B. Hu, Phys. Rev. A 71, 034302 (2005)
A. Micheli, D. Jaksch, J.I. Cirac, P. Zoller, Phys. Rev. A 67, 013607 (2003)
J. Stenger, S. Inouye, D.M. Stamper-Kurn, H.-J. Miesner, A.P. Chikkatur, W. Ketterle, Nature 396, 345 (1998)
J. Williams, R. Walser, J. Cooper, E. Cornell, M. Holland, Phys. Rev. A 59, 31(R) (1999)
F.T. Arecchi, E. Courtens, R. Gilmore, H. Thomas, Phys. Rev. A 6, 2211 (1972)
A. Smerzi, S. Fantoni, S. Giovanazzi, S.R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997)
G.J. Milburn, J. Corney, E.M. Wright, D.F. Walls, Phys. Rev. A 55, 4318 (1997)
C. Lee, W. Hai, L. Shi, X. Zhu, K. Gao, Phys. Rev. A 64, 053604 (2001); W. Hai, C. Lee, G. Chong, L. Shi, Phys. Rev. E 66, 026202 (2002); Q. Xie, W. Hai, G. Chong, Chaos 13, 801 (2003); X. Luo, W. Hai, Chaos 15, 033702 (2005); Y. Li, W. Hai, J. Phys. A: Math. Gen. 38, 4105 (2005)
O. Zobay, B.M. Garraway, Phys. Rev. A 61, 033603 (2000)
M.E. Kellman, V. Tyng, Phys. Rev. A 66, 013602 (2002)
J. Liu, L. Fu, B.Y. Ou, S.G. Chen, Dae-II Choi, B. Wu, Q. Niu, Phys. Rev. A 66, 023404 (2002)
C. Lee, W. Hai, L. Shi, K. Gao, Phys. Rev. A 69, 033611 (2004)
Z.P. Karkuszewski, K. Sacha, A. Smerzi, Eur. Phys. J. D 21, 251 (2002)
Biao Wu, Jie Liu, Phys. Rev. Lett. 96, 020405 (2006)
A.P. Hines, R.H. McKenzie, G.J. Milburn, Phys. Rev. A 67, 013609 (2003)
A. Søensen, L.-M. Duan, J.I. Cirac, P. Zoller, Nature 409, 63 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xie, Q., Hai, W. Quantum entanglement and classical bifurcations in a coupled two-component Bose-Einstein condensate. Eur. Phys. J. D 39, 277–282 (2006). https://doi.org/10.1140/epjd/e2006-00103-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2006-00103-6