The general astigmatic matter wave
Optics Express, Vol. 16, Issue 5, pp. 3368-3375 (2008)
http://dx.doi.org/10.1364/OE.16.003368
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Abstract
A new sort of matter wave with the general astigmatism is proposed, whose orientation of the phase front and the density profile are crossed. A generalized ABCD law is developed to treat the evolution of the general astigmatic matter wave. It is revealed that two “cylindrical lens” pulses with oblique orientations can bring general astigmatism to the matter wave. The evolution characteristics of the general astigmatic matter wave in the gravitational field is discussed and illustrated numerically in detail. It is found that the orientations of the density profile and the phase front of the matter wave rotate continuously during evolution.
© 2008 Optical Society of America
OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(140.3320) Lasers and laser optics : Laser cooling
(350.5500) Other areas of optics : Propagation
ToC Category:
Atomic and Molecular Physics
History
Original Manuscript: November 26, 2007
Revised Manuscript: February 10, 2008
Manuscript Accepted: February 10, 2008
Published: February 28, 2008
Citation
Jun Chen, Qiang Lin, and Yunxian Liu, "The general astigmatic matter wave," Opt. Express 16, 3368-3375 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-5-3368
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References
- H. J. Metcalf and P. Van der Straten, Laser Cooling and Trapping (Springer-Verlag New York, 1999). [CrossRef]
- F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, "Theory of Bose-Einstein condensation in trapped gases," Rev. Mod. Phys, 71, 463-512 (1999). [CrossRef]
- K. Bongs and K. Sengstock, "Physics with coherent matter waves," Rep. Prog. Phys. 67, 907-963 (2004). [CrossRef]
- Ch. J. Bordé, "Atomic clocks and inertial sensors," Metrologia 39, 435-463 (2002). [CrossRef]
- M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, "Bose-Einstein condensation in a tightly confining dc magnetic trap," Phys. Rev. Lett. 77, 416-419 (1996). [CrossRef] [PubMed]
- G. Roati, M. Zaccanti, C. D. Errico, J. Catani, M. Modugno, A. Simoni, M. Inguscio, and G. Modugno, "39K Bose-Einstein Condensate with Tunerable Interations," Phys. Rev. Lett. 99, 010403 (1)-(4) (2007). [CrossRef]
- T. Lahaye, T. Koch, B. Fröhlich, M. Fattori, J. Metz, A. Griesmaier, S. Giovanazzi, and T. Pfau, "Strong dipolar effects in a quantum ferrofluid," Nature 448, 672-675 (2007). [CrossRef] [PubMed]
- J. A. Arnaud and H. Kogelnik, "Gaussian light beams with general astigmatism," Appl. Opt, 8, 1687-1693 (1969). [CrossRef] [PubMed]
- Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian-Schell model beams," Opt. Lett. 27, 216-218 (2002). [CrossRef]
- Ch. Antoine and Ch. J. Bordé, "Exact phase shifts for atom interferometry," Phys. Lett. A 306, 277-284 (2003). [CrossRef]
- Y. Le. Coq, J. H. Thywissen, S. A. Rangwala, F. Gerbier, S. Richard, G. Delannoy, P. Bouyer, and A. Aspect, "Atom Laser Divergence," Phys. Rev. Lett. 87, 170403 (1)-(4) (2001). [CrossRef]
- J. -F. Riou, W. Guerin, Y. Le Coq, M. Fauqembergue, V. Josse, P. Bouyer, and A. Aspect, "Beam quality of a nonlineal atom laser," Phys. Rev. Lett. 96, 070404 (1)-(4) (2006). [CrossRef]
- F. Impens, P. Bouyer, and Ch. J. Bordé, "Matter-wave cavity gravimeter," Appl. Phys. B 84, 603-615 (2006). [CrossRef]
- Ch. J. Bordé, "Theoretical tools for atom optics and interferometry," C. R. Acad. Sci. Paris, t. 2, Ser. IV, 509-530 (2001).
- J. H. Van Vleck, "The correspondence principle in the statistical interpretation of quantum mechanics," Pro. Natl. Acad. Sci., USA 14, 178-188 (1928). [CrossRef]
- G. Whyte, P. Oöhberg, and J. Courtial, "Transverse laser modes in Bose-Einstein condensates," Phys. Rev. A 69, 053610 (1)-(8) (2004). [CrossRef]
- D. R. Murry and P. Oöhberg, "Matter wave focusing," J. Phys. B: At. Mol. Opt. Phys. 38, 1227-1234 (2005). [CrossRef]
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