The purpose of this Asian Network School/Workshop is to harness the combined expertise of the advanced network node members at ICTP (Italy) and APCTP/PCS-IBS (Korea) to foster the growth of advanced studies in theoretical physics, in particular, in condensed matter physics and complex systems in the regional developing countries in South East Asia. A particular focus is to help advance the research capabilities of early career scientists and students from Vietnam, Thailand, Philippines, Indonesia and Cambodia and other countries in the region. Our Schools are geared to promote active interaction among invited lecturers, academics, researchers and graduate students to enable them to share their own work and ideas and be updated on current research trends. Knowing the work of other groups in the region and scientists in the Asian Network can pave the way to define common research areas that require multi-disciplinal approaches and to start collaborative work in the future.

The ICTP was formed in 1964 and the APCTP was formed in 1996 with the goal of promoting theoretical physics and related disciplines around the globe and in the Asia-Pacific region respectively. Not surprisingly, the ICTP and APCTP share many goals in common and the first Memorandum of Cooperation between the ICTP and APCTP was in fact exchanged in 1996.

The goal of this project is to partner with the ICTP, primarily through its Condensed Matter and Statistical Physics section, to continue and expand an existing Condensed Matter and Complex Systems Network spanning South Korea and South-East Asia. This high-level scientific program will continue to maintain an international regional forum for scientific cooperation and enquiry. Specifically, the Network will conduct research at the highest international standards in the disciplines of condensed matter physics, complex systems and statistical physics.

Today the worldwide search for novel technologies and new generation devices focuses on nano-structured materials with unprecedented electrical, mechanical, optical and other properties like graphene, nanotubes, quantum dot arrays, metamaterials, trapped atomic condensates, superconducting networks, plasmonic and nanophotonic structures. There is an increasingly strong demand for new theoretical concepts, approaches and computational tools for uncovering fundamental nonlinear and quantum many-body processes in such systems and designing efficient methods of their control.

We will combine our expertise in Condensed Matter and Complex Systems to perform high-level research on these modern topics of joint interest. Our network goals will be achieved through extended visits within the framework of Advanced Study Groups (ASGs), which are a new and promising element of the Visitors Program of the PCS-IBS Center for Theoretical Physics of Complex Systems. These programs are designed to foster intensive collaboration between participating researchers, with the full support of the Visitors Program. Participants will complement ASG participants from APCTP-POSTECH, PCS-IBS and ICTP-CMSP and short term visitors from OEA supported countries.

We aim to cross-fertilize research on exciton-polariton condensates, superconducting networks, quantum dot networks, ultracold atomic gases, optical waveguide networks, topology, frustration, flatband physics, Fano resonant nanoscale devices, artificial gauge fields, dissipative quantum chaos, many body localization, quantum Arnold diffusion, thermalization, coherence and decoherence, quantum stochastic dynamics, finite systems, targeted energy transfer, transport in nano structures, nonlinear nanophotonics, topological insulators, and more.

In particular, we will focus on the following core topics of our research during the following years:

• Complex Condensed Matter Systems: nonequilibrium many-body dynamics, macroscopic degeneracies, flat bands, non-Hermitian physics, optical cavities, and machine learning, with subtopics including exciton-polariton condensates, ultracold atomic gases, photonic waveguide networks, optical microcavities, Fano resonances, spin glasses, topology, frustration, disorder, many body localization, artificial gauge fields, dissipative quantum chaos, open quantum systems, quantum many-body interactions, nonlinear dynamics, disordered systems, mesoscopic electron transport, nano-electromechanical systems.

• Light-Matter Interaction in Nanostructures: semiconductor microcavities, exciton polaritons, quantum transport, open quantum systems, quantum coherence, dissipative solitons, quantum dots, spins in mesostructures, polariton devices (signal routers, THz sources and detectors, lasers).

• Strongly Correlated Electronic Systems: development of numerical algorithms to study correlated electronic systems, correlation effects in materials with strong spin-orbit coupling, computational study of spectral properties in strongly correlated systems, quantum embedding theories, dynamical mean field theory and impurity solvers.

• Theoretical Photonics: nonlinear optics, topological phases, non-Hermitian systems, disorder and Anderson localization, flat bands, scattering, Floquet systems, photonic lattices, solitons, quantum optics.

• Nonequilibrium Quantum Thermodynamics: dissipative quantum systems, quantum and classical thermodynamics, quantum thermodynamic machines, nonlinear dynamics and thermodynamic phase transitions, heat transport in molecular junctions, open Floquet systems, symmetries and metastability in open systems, Landau-Zener open systems.

• Quantum Chaos in Many-Body Systems: late-time quantum chaos and BGS conjecture, early-time quantum chaos and operator growth, quantum batteries, Many-body localization, quantum many-body scars.

• Topological and Correlated Quantum Matter: topological and unconventional superconductivity with strong spin-orbit coupling, Moire materials and twistronics, bosonic topological phases in spin systems, nano-device applications of topological materials, aperiodic systems and quasicrystals.

• Optics of Quantum Fluids and Nanomaterials: optical properties of nanostructures, optical phonons in nanoparticles and Raman scattering, disorder effects on phonons in nanostructures, nonlinear aspects of lattice dynamics in nanoparticles, absorption and elastic scattering of light by nanodiamonds, quantum fluids of light, vortices and solitons dynamics, quantum turbulence, artificial photonic lattices, effects of disorder on quantum fluid dynamics.

• Superconducting Hybrid Quantum Systems: superconducting hybrid nanostructures, States read-out using circuit-QED, Majorana fermions in topological superconductors, magnetic impurities in superconductors, coherent electron transport in mesoscopic systems.

• Entanglement and Dynamics in Quantum Matter: frustrated magnetism, quantum spin liquids, topological phases of matter, quantum dynamics, many-body localization, novel phases in ultra cold atoms, non-equilibrium quantum systems, quantum computing and algorithms, tensor networks, density matrix renormalization group, dynamical mean-field theory, ab initio electronic structure computations.