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

TL;DR

This paper provides a theoretical analysis of the dynamics of one-dimensional spin-1/2 fermionic gases with weak two-body losses, emphasizing the importance of spin conservation and exploring various initial states and steady-state behaviors.

Contribution

It introduces a detailed theoretical framework for understanding the effects of weak two-body losses in spin-1/2 fermionic gases, highlighting the role of spin conservation in their evolution.

Findings

Spin conservation critically influences the gas dynamics.

Steady symmetry-resolved purification can emerge in Mott insulators.

The results are relevant for modeling experiments with alkaline-earth gases.

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.