Stability and Phase Coherence of Trapped 1D Bose Gases

We discuss stability and phase coherence of 1D trapped Bose gases and find that inelastic decay processes, such as three-body recombination, are suppressed in the strongly interacting (Tonks-Girardeau) and intermediate regimes. This is promising for achieving these regimes with a large number of particles. ”Fermionization” of the system reduces the phase coherence length, and at $T=0$ the gas is fully phase coherent only deeply in the weakly interacting (Gross-Pitaevskii) regime.

Figure 1

Local correlation function $g_2$ versus $\gamma$.

Figure 2

The density matrix $g_1(x,-x)$ for $N={10}^4$ and various values of ${\gamma }_0$. The solid curves show numerical results, and the dashed curves the results of the quasiclassical approach.