Second-quantized Landau-Zener theory for dynamical instabilities

Details Second-quantized Landau-Zener theory for dynamical instabilities Second-quantized Landau-Zener theory for dynamical instabilities

2002-10-22

arxiv.org/abs/cond-mat/0210504v1

Physics

Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.67.051601

State engineering in nonlinear quantum dynamics sometimes may demand driving the system through a sequence of dynamically unstable intermediate states. This very general scenario is especially relevant to dilute Bose-Einstein condensates, for which ambitious control schemes have been based on the powerful Gross-Pitaevskii mean field theory. Since this theory breaks down on logarithmically short time scales in the presence of dynamical instabilities, an interval of instabilities introduces quantum corrections, which may possibly derail a control scheme. To provide a widely applicable theory for such quantum corrections, this paper solves a general problem of time-dependent quantum mechanical dynamical instability, by modelling it as a second-quantized analogue of a Landau-Zener avoided crossing: a `twisted crossing'.

Affiliated with

Also associated with

No associations

Rating

Second-quantized Landau-Zener theory for dynamical instabilities 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 Second-quantized Landau-Zener theory for dynamical instabilities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Second-quantized Landau-Zener theory for dynamical instabilities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-639938