Thermalization in a quasi-1D ultracold bosonic gas

Details Thermalization in a quasi-1D ultracold bosonic gas Thermalization in a quasi-1D ultracold bosonic gas

2009-12-22

arxiv.org/abs/0912.4493v2

New J. Phys. 12 (2010) 055023

Physics

Condensed Matter

Quantum Gases

revtex4, 3 figures. Final version of the text, accepted for publication (see journal ref.)

Scientific paper

10.1088/1367-2630/12/5/055023

We study the collisional processes that can lead to thermalization in one-dimensional systems. For two body collisions excitations of transverse modes are the prerequisite for energy exchange and thermalzation. At very low temperatures excitations of transverse modes are exponentially suppressed, thermalization by two body collisions stops and the system should become integrable. In quantum mechanics virtual excitations of higher radial modes are possible. These virtually excited radial modes give rise to effective three-body velocity-changing collisions which lead to thermalization. We show that these three-body elastic interactions are suppressed by pairwise quantum correlations when approaching the strongly correlated regime. If the relative momentum $k$ is small compared to the two-body coupling constant $c$ the three-particle scattering state is suppressed by a factor of $(k/c)^{12}$, which is proportional to $\gamma ^{12}$, that is to the square of the three-body correlation function at zero distance in the limit of the Lieb-Liniger parameter $\gamma \gg 1$. This demonstrates that in one dimensional quantum systems it is not the freeze-out of two body collisions but the strong quantum correlations which ensures absence of thermalization on experimentally relevant time scales.

Affiliated with

Also associated with

No associations

Rating

Thermalization in a quasi-1D ultracold bosonic gas 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 Thermalization in a quasi-1D ultracold bosonic gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermalization in a quasi-1D ultracold bosonic gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-307809