One-dimensional spin-1/2 fermionic gases with two-body losses: weak dissipation and spin conservation

Abstract

We present a theoretical analysis of the dynamics of a one-dimensional spin-1/2 fermionic gas subject to weak two-body losses. Our approach highlights the crucial role played by spin conservation in the determination of the full time evolution. We focus in particular on the dynamics of a gas that is initially prepared in a Dicke state with fully-symmetric spin wavefunction, in a band insulator, or in a Mott insulator. In the latter case, we investigate the emergence of a steady symmetry-resolved purification of the gas. Our results could help the modelisation and understanding of recent experiments with alkaline-earth(-like) gases like ytterbium or fermionic molecules.

13 pages, 12 figures. Section III revised, SubSection VA added

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• Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study
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• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states