The concept of time-coarsened density matrix for open systems has frequently featured in equilibrium and non-equilibrium statistical mechanics, without being probed as to the detailed consequences of the time averaging procedure. In this work we introduce and prove the need for a selective and non-uniform time-sampling, whose form depends on the properties of the bath. It is also applicable when an open microscopic sub-system is coupled to another finite system. By use of a time-periodic minimal coupling model between these two (...) systems, we present detailed quantitative consequences of time coarsening, which include initial state independence of equilibration, deviations from long term averages, their environment size dependence and the approach to classicality, as measured by a Leggett–Garg type inequality. An interacting multiple qubit model affords comparison between the time integrating procedure and the more conventional environment tracing method. (shrink)

The classical traditions of Vedānta in India explored the problem of why an omnipotent being like God would permit sentient beings to suffer in His creation. This article explores the solution provided to the problem of suffering by the sixteenth-century philosopher Vyāsatīrtha. Vyāsatīrtha argued that there is a satisfying explanation of why God would permit suffering to both exist and to be unevenly distributed among the individual souls trapped in transmigratory existence. He claims that we can only reconcile the idea (...) of an independent, omnipotent God with the existence of suffering by assuming that God’s treatment of the individual souls is based primarily in their eternal, immutable ethical natures and not purely on their conduct/karma as some earlier philosophers suggested. The article is based on original translations of the passages in the Tātparyacandrikā where Vyāsatīrtha makes these arguments against his Advaita and Viśiṣṭādvaita opponents. (shrink)