Onsager Theory with Non-Commuting Charges and applications to Thermosqueezing Effects

Open quantum systems bearing transport with non-commuting conserved quantities (charges) offer the possibility to study the interplay between quantum and thermal effects. A general theory for such non-abelian transport is, however, unavailable.

I will present our developments for such a theory within the linear response regime (close to equilibrium) by using generalized Gibbs ensembles (GGE) and a collisional framework. We hence extend Onsager theory to the case of non-commuting charges. Our results predict a reduction of dissipation (entropy prodution) due to non-commutativity quantified by the Wigner-Yanase-Dyson (WYD) skew information. I will then show how this theory can be used to establish a new set of reciprocity relations between heat and squeezing in bosonic setups with possible applications in metrology and heat-to-work conversion, and discuss some future directions.