Abstract
We investigate a novel aspect of rotational tunneling of the macroscopic spin for multicomponent spinor Bose-Einstein condensate (BEC). The Lagrangian is deduced from the multi-component BEC system formalism, and is written in terms of spin coherent states. From the effective Hamiltonian for the collective spin, the tunneling rate is obtained through a functional integral of the spin variable. It is pointed out that the cooperative effect between the Zeeman energy and the anisotropic nature of the spin-dependent inter-atomic interaction plays a key role for occurrence of collective spin tunneling.
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References
W. Pauli, General Principles of Quantum Mechanics (Springer-Verlag, Berlin, 1980)
L.I. Schiff, Quantum mechanics, 3rd edn. (McGraw-Hill Companies, New York, 1968)
P.G. de Gennes, Superconductivity of Metals and Alloys (Perseus book Publishing, 1999)
E.M. Chudonovsky, L. Gunther, Phys. Rev. Lett. 60, 661 (1988)
J.L. Van Hemmen, A. Sütö, Europhys. Lett. 1, 481 (1986)
M. Greiner, O. Mandel, T. Esslinger, T.W. Hansch, I. Bloch, Nature 415, 39 (2002)
F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, M. Inguscio, Science 293, 843 (2001)
B.P. Anderson, M.A. Kasevich, Science 282, 1686 (1998)
D.M. Stamper-Kurn, H.-J. Miesner, A.P. Chikkatur, S. Inouye, J. Stenger, W. Ketterle, Phys. Rev. Lett. 83, 661 (1999)
J.R. Anglin, W. Ketterle, Nature 416, 211 (2002)
G.J. Milburn, J. Corney, E.M. Wright, D.F. Walls, Phys. Rev. A 55, 4318 (1997)
G.L. Salmond, C.A. Holmes, G.J. Milburn, Phys. Rev. A 65, 033623 (2002)
C. Lee et al., Phys. Rev. A 68, 053614 (2003)
J. Williams et al., Phys. Rev. A 59, R31 (1999)
F.Kh. Abdullaev, R.A. Kraenkel, Phys. Rev. A 62, 023613 (2000)
C.J. Myatt et al., Phys. Rev. Lett. 78, 587 (1997)
D.S. Hall et al., Phys. Rev. Lett. 81, 1539 (1998)
D.M. Stamper-Kurn et al., Phys. Rev. Lett. 80, 2027 (1998)
J. Stenger et al., Nature 396, 345 (1998)
T.L. Ho, V.B. Shenoy, Phys. Rev. Lett. 77, 2595 (1996)
T.L. Ho, Phys. Rev. Lett. 81, 742 (1998)
A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)
R. Feynman, Statistical Mechanics: A Set of Lectures (Advanced Book Classics) (Perseus Books, New York, 1998)
H. Kuratsuji, Phys. Rev. Lett. 68, 1746 (1992)
H. Kuratsuji, Physica B 284–288, 15 (2000)
C.K. Law, H. Pu, N.P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998)
T. Skyrme, Proc. Roy. Soc. A 260, 127 (1961)
H. Kuratsuji, T. Suzuki, J. Math. Phys. 21, 472 (1980)
F.T. Arechi, E. Courtens, R. Gilmore, H. Thomas, Phys. Rev. A 6, 2211 (1972)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1964)
A.J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987)
F. Meier, D. Loss, Phys. Rev. Lett. 86, 5373 (2001); F. Meier, D. Loss, Phys. Rev. B 64, 224411 (2001)
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Kuratsuji, H., Botet, R. Collective spin tunneling in spinor Bose-Einstein condensates. Eur. Phys. J. D 49, 111–116 (2008). https://doi.org/10.1140/epjd/e2008-00129-8
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DOI: https://doi.org/10.1140/epjd/e2008-00129-8