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

Lorenzo Rosso ¹ Davide RossiniAlberto Biella ¹ Leonardo Mazza ¹

Lorenzo Rosso, Davide Rossini, Alberto Biella, Leonardo Mazza. One-dimensional spin-1/2 fermionic gases with two-body losses: weak dissipation and spin conservation. Phys.Rev.A, 2021, 104, pp.053305. ⟨10.1103/PhysRevA.104.053305⟩. ⟨hal-03437114⟩

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.

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