Commutability between Semiclassical Limit and Adiabatic Limit

Details Commutability between Semiclassical Limit and Adiabatic Limit Commutability between Semiclassical Limit and Adiabatic Limit

2005-07-30

arxiv.org/abs/cond-mat/0508008v1

Phys. Rev. Lett. 96 (2006) 020405

Physics

Condensed Matter

Other Condensed Matter

5 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.96.020405

We study the semiclassical limit and the adiabatic limit with a second-quantized two-mode model, which describes a many-boson interacting system. When its mean-field interaction is small, these two limits are commutable. However, when the interaction is strong and over a critical value, the two limits become incommutable. This change of commutability is associated with a topological change in the structure of the energy bands. These results reveal that nonlinear mean-field theories, such as Gross-Pitaevskii equations for Bose-Einstein condensates, can be invalid in the adiabatic limit.

Affiliated with

Also associated with

No associations

Rating

Commutability between Semiclassical Limit and Adiabatic Limit 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 Commutability between Semiclassical Limit and Adiabatic Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Commutability between Semiclassical Limit and Adiabatic Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723224