Abstract
In the Bogoliubov theory, a condensate initially prepared in its ground state described by a stationary Bogoliubov vacuum and later perturbed by a time-dependent potential or interaction strength evolves into a time-dependent excited state which is a dynamical Bogoliubov vacuum. The dynamical vacuum has a simple diagonal form in a time-dependent orthonormal basis of single-particle modes. This diagonal representation leads to a Gaussian probability distribution for possible density-measurement outcomes in position and momentum space.
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References
J. Javanainen and S. M. Yoo, Phys. Rev. Lett. 76, 161 (1996).
C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge Univ. Press, Cambridge, 2002); Y. Castin and J. Dalibard, Phys. Rev. A 55, 4330 (1997); K. Mølmer, Phys. Rev. A 65, 021607 (2002); S. Ashhab and A.J. Leggett, Phys. Rev. A 65, 023604 (2002).
S. Burger et al., Phys. Rev. Lett. 83, 5198 (1999).
Y. Shin et al., Phys. Rev. Lett. 92, 050405 (2004).
Y. Castin and R. Dum, Phys. Rev. A 57, 3008 (1998); J. Dziarmaga and K. Sacha, Phys. Rev. A 67 033608 (2003).
J. Dziarmaga and K. Sacha, J. Phys. B: At. Mol. Opt. Phys. 39, 43 (2006).
J. Dziarmaga and J. Meisner, J. Phys. B: At. Mol. Opt. Phys. 38, 4211 (2005).
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Original Text © Astro, Ltd., 2006.
Talk given at the Laser Physics Workshop, July 2005, Kyoto, Japan.