The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.
Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics
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This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization. The reader is supposed to know elementary functional analysis and quantum mechanics.
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Theory of Steady States for Lindblad Equations beyond Time-Independence: Classification, Uniqueness and Symmetry
The work gives an algebraic criterion for uniqueness of steady states in recurrently time-dependent Lindblad equations and classifies how strong symmetries in Schrödinger versus interaction pictures produce time-independent or oscillating asymptotics.