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

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 a fully symmetric spin wave function, 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 with the modelization and understanding of recent experiments with alkaline-earth(-like) gases like ytterbium and fermionic molecules.

Automated summary

Theoretical analysis has been conducted on the dynamics of a one-dimensional spin-1/2 fermionic gas with weak two-body losses, emphasizing the role of spin conservation in determining the full time evolution. Specifically, the study focuses on the dynamics of gas in different initial states and investigates the emergence of steady symmetry-resolved purification in Mott insulators. These results contribute to the comprehension of experiments involving alkaline-earth gases and fermionic molecules such as ytterbium.