Abstract.
We propose the precision measurement of both angular rotation and of the gradient magnetic of a field based on the use of matter wave interferometers with soliton states of a Bose-Einstein condensate (BEC). We consider the formation of these soliton states in a BEC with negative scattering length by an optical lattice produced by two counterpropagating laser beams. We determine the parameters of both the initial condensate and the optical radiation necessary for the formation of coherent solitons. We demonstrate that this interferometer can be used to measure magnetic field gradient with a precision of 10-2 pT/cm. Our calculations show that the sensitivity of a gyroscope based on a ring, two-port matter wave interferometer can achieve 2.6×10-7 rad s-1. The precision of this method is more than ten times greater than in that of rotating interferometer with cooled atoms.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M.G. Moore, P. Meystre, Phys. Rev. Lett. 83, 5202 (1999); P. Meystre, Atom Optics (Springer-Verlag, New York, 2001)
Y. Castin, “Bose-Einstein condensation in atomic gases: simple theoretical results”, arXiv:cond-mat/0105058
B.P. Anderson, M.A. Kasevich, Science 282, 1686 (1998)
J.P. Dowling, Phys. Rev. A 57, 4736 (1998)
K.E. Strecker, G.B. Partridge, A.G. Truscott, R.G. Hulet, Nature 417, 150 (2002)
L. Khaykovich, F. Shreck, G. Ferrari, T. Bourdel, J. Cubizolles, L.D. Carr, Y. Castin, C. Salomon, Science 296, 1290 (2002)
W. Ketterle, Phys. Today 52, 30 (1999)
N.N. Rosanov, V.A. Smirnov, Yu. V. Rozhdestvensky, S.V. Fedorov, JETP Lett. 77, 84 (2003)
Yu. V. Rozhdestvensky, N.N. Rosanov, V.A. Smirnov, JETP Lett. 76, 370 (2002)
R.Y. Chiao, E. Garmire, C.H. Townes, Phys. Rev. Lett. 13, 479 (1964)
V.I. Bespalov, V.I. Talanov, Sov. Phys. JETP Lett. 3, 307 (1966)
V. Bagnato, D.E. Pritchard, D. Kleppner, Phys. Rev. A 35, 4354 (1987)
A.A. Vedenov, G.D. Mylnikov, D.N. Sobolenko, Physics Uspekhi 138, 477 (1982)
P.I. Krepostnov, V.O. Popov, N.N. Rosanov, JEPT 99, 279 (2004)
N.N. Rosanov, V.A. Smirnov, Yu. V. Rozhdestvensky, S.V. Fedorov, N.A. Veretenov, D.V. Skryabin, W.J. Firth, Proc. SPIE 5402, 98 (2004)
A.J. Moerdijk, B.J. Verhaar, Phys. Rev. A 53, R19 (1996)
A. Lenef, T.D. Hammond, E.T. Smith, M.S. Chapman, R.A. Rubenstein, D.E. Pritchard, Phys. Rev. Lett. 78, 760 (1997)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Veretenov, N., Rozhdestvensky, Y., Rosanov, N. et al. Interferometric precision measurements with Bose–Einstein condensate solitons formed by an optical lattice. Eur. Phys. J. D 42, 455–460 (2007). https://doi.org/10.1140/epjd/e2007-00129-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2007-00129-2