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We theoretically study how excitations due to spontaneous emission and trapfluctuations combine with elastic collisions to change the momentumdistribution of a trapped non-degenerate one-dimensional (1D) Bose gas. Usingcalculated collisional relaxation rates, we first present a semi-analyticalmodel for the momentum distribution evolution to get insight into the mainprocesses responsible for the system dynamics. We then present a Monte-Carlosimulation that includes features that cannot be handled analytically, andcompare its results to experimental data. These calculations provide a baselinefor how integrable 1D Bose gases evolve due to heating processes in the absenceof diffractive collisions that might thermalize the gases.

The effect of optical lattice heating on the momentum distribution of a 1D Bose gas