4.6 Article

Non-Abelian Quantum Transport and Thermosqueezing Effects

Journal

PRX QUANTUM
Volume 3, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PRXQuantum.3.010304

Keywords

-

Funding

  1. Abdus Salam International Centre of Theoretical Physics
  2. Spanish MICINN through the Juan de la Cierva program [IJC2019-039592I]
  3. European Union [801110]
  4. Austrian Federal Ministry of Education, Science and Research (BMBWF)
  5. Spanish Government [FIS-2017-83706-R]
  6. Foundational Questions Institute Fund, a donor-advised fund of Silicon Valley Community Foundation [FQXi-IAF19-01]
  7. Sao Paulo Funding Agency FAPESP [2017/50304-7, 2017/07973-5, 2018/12813-0]
  8. Brazilian funding agency CNPq [INCT-IQ 246569/2014-0]

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Modern quantum experiments provide examples of transport with noncommuting quantities, which offer a tool to understand the interplay between thermal and quantum effects. This study introduces a theory for nonAbelian transport in the linear response regime and shows that quantum coherence reduces net entropy production, thereby establishing a clear connection between quantum coherent transport and dissipation.
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.

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