Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices

Details Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices

2005-05-25

arxiv.org/abs/cond-mat/0505625v2

Physics

Condensed Matter

Statistical Mechanics

13 pages, 9 figures, Phys. Rev. A, in press

Scientific paper

10.1103/PhysRevA.72.023613

A Bose-Einstein condensate in an optical lattice exhibits parametric resonances when the intensity of the lattice is periodically modulated in time. These resonances correspond to an exponential growth of the population of counter-propagating Bogoliubov excitations. A suitable linearization of the Gross-Pitaevskii (GP) equation is used to calculate the stability diagram and the growth rates of the unstable modes. The results agree with the ones extracted from time-dependent GP simulations, supporting our previous claim (M. Kraemer et al., Phys. Rev. A (2005) in press) concerning the key role of parametric resonances in the response observed by Stoeferle et al. (Phys. Rev. Lett. 92, 130403 (2004)) in the superfluid regime. The role of the seed excitations required to trigger the parametric amplification is discussed. The possible amplification of the quantum fluctuations present in the quasiparticle vacuum, beyond GP theory, is also addressed, finding interesting analogies with similar processes in nonlinear quantum optics and with the dynamic Casimir effect. Our results can be used in exploiting parametric instabilities for the purpose of spectroscopy, selective amplification of a particular excitation mode and for establishing a new type of thermometry.

Affiliated with

Also associated with

No associations

Rating

Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641524