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Modern quantum experiments provide examples of transport with non-commuting quantities, offering a tool to understand the interplay between thermal and quantum effects. Here we set forth a theory for non-Abelian transport in the linear response regime. We show how transport coefficients obey Onsager reciprocity and identify non-commutativity-induced reductions in the entropy production. As an example, we study heat and squeezing fluxes in bosonic systems, characterizing a set of thermosqueezing coefficients with potential applications in metrology and heat-to-work conversion in the quantum regime.
For open quantum systems coupled to a thermal bath at inverse temperature $beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath inverse tempera
The possibility of quantum computation using non-Abelian anyons has been considered for over a decade. However the question of how to obtain and process information about what errors have occurred in order to negate their effects has not yet been con
An important challenge in the field of many-body quantum dynamics is to identify non-ergodic states of matter beyond many-body localization (MBL). Strongly disordered spin chains with non-Abelian symmetry and chains of non-Abelian anyons are natural
We prove an upper bound on the diffusivity of a general local and translation invariant quantum Markovian spin system: $D leq D_0 + left(alpha , v_text{LR} tau + beta , xi right) v_text{C}$. Here $v_text{LR}$ is the Lieb-Robinson velocity, $v_text{C}
We study the quench dynamics in free fermionic systems in the prototypical bipartitioning protocol obtained by joining two semi-infinite subsystems prepared in different states, aiming at understanding the interplay between quantum coherences in spac