Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-04-16
Phys. Rev. A 78, 053602 (2008)
Physics
Condensed Matter
Other Condensed Matter
Section VI added to v2; published version
Scientific paper
10.1103/PhysRevA.78.053602
The asymptotic form of the wave functions describing a freely expanding Lieb-Liniger gas is derived by using a Fermi-Bose transformation for time-dependent states, and the stationary phase approximation. We find that asymptotically the wave functions approach the Tonks-Girardeau (TG) structure as they vanish when any two of the particle coordinates coincide. We point out that the properties of these asymptotic states can significantly differ from the properties of a TG gas in a ground state of an external potential. The dependence of the asymptotic wave function on the initial state is discussed. The analysis encompasses a large class of initial conditions, including the ground states of a Lieb-Liniger gas in physically realistic external potentials. It is also demonstrated that the interaction energy asymptotically decays as a universal power law with time, $E_\mathrm{int}\propto t^{-3}$.
Buljan Hrvoje
Gasenzer Thomas
Jukić D.
Pezer R.
No associations
LandOfFree
Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions 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 Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-607202