Physics – Quantum Physics
Scientific paper
2011-05-21
Physical Review E 83, 041133 (2011)
Physics
Quantum Physics
Scientific paper
We consider a quantum gas of non-interacting particles confined in the expanding cavity, and investigate the nature of the non-adiabatic force which is generated from the gas and acts on the cavity wall. Firstly, with use of the time-dependent canonical transformation which transforms the expanding cavity to the non-expanding one, we can define the force operator. Secondly, applying the perturbative theory which works when the cavity wall begins to move at time origin, we find that the non-adiabatic force is quadratic in the wall velocity and thereby does not break the time-reversal symmetry, in contrast with the general belief. Finally, using an assembly of the transitionless quantum states, we obtain the nonadiabatic force exactly. The exact result justifies the validity of both the definition of force operator and the issue of the perturbative theory. The mysterious mechanism of nonadiabatic transition with use of transitionless quantum states is also explained. The study is done on both cases of the hard-wall and soft-wall confinement with the time-dependent confining length.
Avazbaev S. K.
Matrasulov D. U.
Monnai Takaaki
Nakamura Kazuo
Sobirov Z. A.
No associations
LandOfFree
Ideal quantum gas in expanding cavity: nature of non-adiabatic force 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 Ideal quantum gas in expanding cavity: nature of non-adiabatic force, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ideal quantum gas in expanding cavity: nature of non-adiabatic force will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-713273