The one-dimensional Bose gas with strong two-body losses: dissipative fermionisation and the harmonic confinement

We study the dynamics of a one-dimensional Bose gas in presence of strong twobody losses. In this dissipative quantum Zeno regime, the gas fermionises and its dynamics can be described with a simple set of rate equations. Employing the local density approximation and a Boltzmann-like dynamical equation, the description is easily generalised to take into account an external potential. We show that in the absence of confinement the population is depleted in an anomalous way and that the gas behaves as a low-temperature classical gas. The harmonic confinement accelerates the depopulation of the gas and introduces a novel decay regime.