Quantum Control of Nonlinear Dynamics in Confined Systems

Investigating the intricacies of confined nonlinear dynamics presents formidable challenges, primarily due to the unpredictable behaviour of molecular constituents. This study introduces a promising avenue for comprehending and harnessing nonlinear dynamics within constrained domains, with broad applications spanning fields like nanofluidics and astrophysics. Quantum-level control emerges as a powerful tool, enabling the manipulation of classical systems to achieve specific outcomes, including quantum control of fluidic behaviour at the nanoscale for application in actuation in nanofluidics. Of particular significance is the observation of an asymptotic function that describes soliton behaviour within a transformed mathematical framework, shedding light on the practical implications of abstract representations. Solitons, known to vanish mathematically, exhibit intriguing transformations over time, influenced by phase gradients. Soliton formations, tracked from 1 ns to 83 ns, reveal dynamic transformations, evolving from their initial state with intriguing variations in amplitude and phase angle. These solitons, under the influence of subtle phase gradients, transition towards states characterised by reduced amplitude and expanded spatial extent. The ability to exercise quantum control over nanoscale fluidic behaviours beckons novel applications, notably in nanofluidic actuation. These findings hold the potential to revolutionise the efficiency of quantum computing in addressing nonlinear differential equations, offering new opportunities for precision-driven progress across scientific disciplines.