The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement

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 easily 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.

19 pages plus appendices, 6 figures. Final version published in SciPost Physics

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• Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
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• Loss induced collective mode in one-dimensional Bose gases
• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
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• Generalized Gibbs ensembles in weakly interacting dissipative systems and digital quantum computers
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• Reaction-diffusion dynamics of the weakly dissipative Fermi gas
• Fate of thermalization of ultracold fermions with two-body dissipation
• Kinetics of Quantum Reaction-Diffusion systems
• Eightfold way to dark states in SU(3) cold gases with two-body losses
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• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states