Minisymposium (ID: SS-MPQ)

Mathematical Physics of Quantum and Nanoscale Systems

Karmran Akbari (Queen's University) and Hamed Majedi (University of Waterloo)

Recent developments in quantum science and nanotechnology have enabled the exploration of physical phenomena at unprecedented spatial and temporal scales. Beyond their intrinsic scientific importance, understanding such quantum and nanoscale phenomena also provides powerful platforms for modeling and emulating complex dynamical processes that occur in larger-scale physical systems under controlled laboratory conditions. The theoretical understanding of these systems increasingly relies on advanced mathematical frameworks capable of describing complex quantum behavior, including strong interactions, non-equilibrium dynamics, and multi-scale effects.
This session focuses on mathematical physics and modeling approaches to quantum and nanoscale systems. Topics of interest include analytical and computational methods for quantum foundations, dynamics, and phenomena; light–matter interactions; quantum materials; nanophotonics; nanoelectronics; strong-field and relativistic quantum electrodynamics; quantum electrodynamics in structured and nanoscale environments; relativistic quantum information; AI-assisted modeling in theoretical physics; quantum simulation and analog modeling; quantum transport; nonlinear and ultrafast quantum dynamics; and strongly correlated quantum systems. Contributions addressing operator-theoretic methods, spectral analysis, quantum field-theoretic models, stochastic and statistical approaches, and numerical techniques for quantum and nanoscale phenomena are particularly welcome.
The session aims to bring together researchers from applied mathematics, mathematical physics, quantum physics, atomic, molecular and optical physics, condensed matter physics, nanoscience, and related fields to discuss emerging mathematical tools, theoretical frameworks, and computational approaches for understanding and controlling quantum phenomena in nanoscale systems and modern quantum technologies, as well as their role in modeling complex physical processes across different scales.

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