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This research establishes that the linearity of reduced dynamics in open quantum systems is not universal but contingent on restricting specific initial states for both the system and its environment. The findings clarify the precise conditions under which simplified models remain valid, offering a more rigorous framework for modeling complex quantum interactions without requiring full environmental simulation. This advancement refines the theoretical boundaries for predicting non-factorisable evolution in quantum mechanics.
Non-Factorisable Systems Always Exhibit Deviation from Linear Quantum Dynamics

Scientists at Ferdowsi University of Mashhad have identified a fundamental constraint on accurately modelling how quantum systems interact with their surroundings; traditionally, physicists assume that simplified descriptions of these interactions, known as ‘reduced dynamics’, behave in a predictable linear fashion regardless of initial conditions. However, this research reveals linearity isn't guaranteed and depends crucially upon restricting which starting states are considered for both the system being studied *and* its environment together. Still, this nuanced finding does not diminish the value of simplified models used to understand complex quantum interactions; rather it clarifies their limitations and highlights where greater precision is needed. The researchers demonstrate that assuming linear behaviour for ‘reduced dynamics’, a way of describing how a quantum system evolves when influenced by its surroundings, requires careful consideration of initial states. Researchers at Ferdowsi University of Mashhad have refined understanding of how simplified models accurately represent complex quantum interactions; these ‘reduced dynamics’ describe a system impacted by its surroundings without fully accounting for environmental details.
Achieving linear behaviour in how a quantum system evolves after interacting with its surroundings previously demanded consideration of all possible starting conditions for both the system and environment, represented as the set ‘D’. Researchers at Ferdowsi University of Mashhad have discovered that this is not always necessary; instead, restricting initial states to a proper subset of D allows for linear evolution when the combined system-environment undergoes non-factorisable changes. Understanding of how quantum systems interact with their surroundings has…
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