RT Journal Article T1 Non-Abelian Quantum Transport and Thermosqueezing Effects A1 Manzano, Gonzalo A1 Rodríguez Parrondo, Juan Manuel A1 Landi, Gabriel T. AB Modern quantum experiments provide examples of transport with noncommuting quantities, offering a tool to understand the interplay between thermal and quantum effects. Here we set forth a theory for nonAbelian transport in the linear response regime. Our key insight is to use generalized Gibbs ensembles with noncommuting charges as the basic building blocks and strict charge-preserving unitaries in a collisional setup. The linear response framework is then built using a collisional model between two reservoirs. We show that the transport coefficients obey Onsager reciprocity. Moreover, we find that quantum coherence, associated with the noncommutativity, acts so as to reduce the net entropy production, when compared to the case of commuting transport. This therefore provides a clear connection between quantum coherent transport and dissipation. 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. PB American Physical Society SN 2691-3399 YR 2022 FD 2022-01-06 LK https://hdl.handle.net/20.500.14352/71342 UL https://hdl.handle.net/20.500.14352/71342 LA eng NO We thank J.P. Santos for fruitful discussions. The authors acknowledge support from the Abdus Salam International Centre of Theoretical Physics, where part of this work was developed, for both hospitality and financial support. G.M. acknowledges funding from Spanish MICINN through the Juan de la Cierva program (IJC2019-039592I), the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 801110, and the Austrian Federal Ministry of Education, Science and Research (BMBWF). J.M.R.P. acknowledges financial support from the Spanish Government (Grant Contract FIS-2017-83706-R) and from the Foundational Questions Institute Fund, a donor-advised fund of Silicon Valley Community Foundation (Grant No. FQXi-IAF19-01). G.T.L. acknowledges the hospitality of Apt. 44, where part of this work was developed, and the financial support of the Sao Paulo Funding Agency FAPESP (Grants No. 2017/50304-7, No. 2017/07973-5, and No. 2018/12813-0) and the Brazilian funding agency CNPq (Grant No. INCT-IQ 246569/2014-0). NO Unión Europea. Horizonte 2020 NO Ministerio de Ciencia e Innovación (MICINN) NO Abdus Salam International Centre of Theoretical Physics NO Austrian Federal Ministry of Education, Science and Research (BMBWF) NO Foundational Questions Institute Fund, a donor-advised fund of Silicon Valley Community Foundation NO Sao Paulo Funding Agency FAPESP NO Brazilian funding agency CNPq Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ DS Docta Complutense RD 7 abr 2025