The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
Authors: Rosso L.; Biella A.; Mazza L.
Autors Affiliation: University Paris-Saclay, CNRS, LPTMS, Orsay, 91405, France; INO-CNR BEC Center, Dipartimento di Fisica, Universita di Trento, Povo, 38123, INO-CNR BEC Center and Dipartimento di Fisica, Universita di Trento, 38123 Povo, Italy
Abstract: We study the dynamics of a one-dimensional Bose gas in presence of strong two-body 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 extended 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, which we thoroughly characterise.
Journal/Review: SCIPOST PHYSICS
Volume: 12 (1) Pages from: 044-1 to: 044-24
More Information: This work was initiated during the thematic trimester program Systems out of equilibrium at the Institut Henri Poincare. We are grateful to the IHP for hospitality and to Sorbonne University for support. D.B. acknowledges Michel Bauer and Jean-Bernard Zuber for regular discussions. M.M. thanks Tony Jin for initial collaboration on the project and, in particular, for his contributions to analysing the spectrum in the two-particle sector. This work was in part supported by CNRS, by the ENS, by the ANR project “ESQuisses”, contract number ANR-20-CE47-0014-01 and by the EPSRC under grant EP/S020527/1.KeyWords: dissipation; drivenDOI: 10.21468/SciPostPhys.12.1.044