Duvenhage, Rocco de VilliersSnyman, Machiel2018-04-172018-06Duvenhage, R. & Snyman, M. Balance between quantum Markov semigroups. Annales Henri Poincaré (2018) 19: 1747-1786. https://doi.org/10.1007/s00023-018-0664-8.1424-0637 (print)1424-0661 (online)10.1007/s00023-018-0664-8http://hdl.handle.net/2263/64588The concept of balance between two state-preserving quantum Markov semigroups on von Neumann algebras is introduced and studied as an extension of conditions appearing in the theory of quantum detailed balance. This is partly motivated by the theory of joinings. Balance is defined in terms of certain correlated states (couplings), with entangled states as a specific case. Basic properties of balance are derived, and the connection to correspondences in the sense of Connes is discussed. Some applications and possible applications, including to non-equilibrium statistical mechanics, are briefly explored.en© 2018 Springer International Publishing AG, part of Springer Nature. The original publication is available at : http://www.springer.com/birkhauser/physics/journal/23.Postprint Article