Cold bosons in the Landauer setup

We consider a one-dimensional potential trap that connects two reservoirs containing cold Bose atoms. The thermal current and single-particle bosonic Green's functions are calculated under nonequilibrium conditions. The bosonic statistics leads to a Luttinger liquid state with a nonlinear spectrum of collective modes. This results in the suppression of thermal current at low temperatures and affects the single-particle Green's functions.

Figure 1

Two reservoirs with cold atoms are connected by a one-dimensional trap. The temperatures and chemical potentials in the reservoirs are assumed to be different (upper panel); the interaction strength $g\left(x\right)$ as a function of the coordinate (lower panel).

Figure 2

The boundary between the regions with different interaction constants. Propagating and decaying waves on both sides of the boundary are shown.

Figure 3

The scattering of plasmons at the boundary between regions with different values of the interaction can be described by scattering matrix $S$.

Figure 4

Distribution functions for transmitted and reflected plasmons inside the wire.

Figure 5

Total plasmon transmission for a system of two identical sharp barriers as a function of $s=\omega /2\pi \rho g$.

Figure 6

Scaling function $f\left(s\right)$ governing the dependence of the heat current on $s=T/2\pi \rho g$ [see Eq. (37)].