Abstract
We consider two models which exhibit equilibrium BEC superradiance. They are related to two different types of superradiant scattering observed in recent experiments. The first one corresponds to the amplification of matter-waves due to Raman superradiant scattering from a cigar-shaped BE condensate, when the recoiled and the condensed atoms are in different internal states. The main mechanism is stimulated Raman scattering in two-level atoms, which occurs in a superradiant way. Our second model is related to the superradiant Rayleigh scattering from a cigar-shaped BE condensate. This again leads to a matter-waves amplification but now with the recoiled atoms in the same state as the atoms in the condensate. Here the recoiling atoms are able to interfere with the condensate at rest to form a matter-wave grating (interference fringes) which has been recently observed in experiments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. Schneble, G.K. Campbell, E.W. Streed et al. Phys. Rev. A 69, 041601 (2004).
S. Inouye, A.P. Chikkatur, D.M. Stamper-Kurn et al. Science 285, 571 (1999).
D. Schneble, Y. Toril, M. Boyd et al. Science 300, 475 (2003).
W. Ketterle, S. Inouye: Phys. Rev. Lett. 89, 4203 (2001).
W. Ketterle, S. Inouye: C.R. Acad. Sci. Paris série IV 2, 339 (2001).
J.V. Pulé, A. Verbeure, V.A. Zagrebnov: J. Phys. A (Math. Gen.) 37, L321 (2004).
J.V. Pulé, A.F. Verbeure, V.A. Zagrebnov: J. Stat. Phys. 118 (2005).
J.V. Pulé, A.F. Verbeure, V.A. Zagrebnov: J. Phys. A (Math. Gen.) (2005).
N. Piovella, R. Bonifacio, B.W.J. McNeil et al. Optics Commun. 187, 165 (2001).
R. Bonifacio, F.S. Cataliotti, M. Cola et al. Optics Commun. 233, 155 (2004).
M.G. Moore, P. Meystre: Phys. Rev. Lett. 86, 4199 (2001).
M.G. Moore, P. Meystre: Phys. Rev. Lett. 83, 5202 (1999).
M. Kozuma, Y. Suzuki, Y. Torii et al. Science 286, 2309 (1999).
R.H. Dicke: Phys. Rev. 93, 99 (1954).
K. Hepp, E.H. Lieb: Ann. Phys. 76, 360 (1973).
J.G. Brankov, V.A. Zagrebnov, N.S. Tonchev: Theor. Math. Phys. 22, 13 (1975).
M. Fannes, P.N.M. Sisson, A. Verbeure et al. Ann. Phys. 98, 38 (1976).
O. Bratteli, D.W. Robinson: Operator Algebras and Quantum Statistical Mechanics II, 2nd edn (Springer, Berlin Heidelberg New York 1997).
M. Fannes, H. Spohn, A. Verbeure: J. Math. Phys. 21, 355 (1980).
M. Fannes, A. Verbeure: Commun. Math. Phys. 57, 165 (1977).
M. Fannes, J.V. Pulé, A. Verbeure: Helv. Phys. Acta 55, 391 (1982).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Pulé, J., Verbeure, A., Zagrebnov, V. (2006). Bose-Einstein Condensation and Superradiance. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_19
Download citation
DOI: https://doi.org/10.1007/3-540-34273-7_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31026-6
Online ISBN: 978-3-540-34273-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)