Research interest of the Laboratory for Advanced Studies is focused on
several areas of the contemporary physics such as nonlinear dynamics and chaos theory, solitons dynamics, complex system dynamics,
condensed matter physics, PTsymmetric physics, atom and quantum optics, photovoltaics, quantum materials, quantum
information and mathematical physics. In particular, the group is doing theoretical studies on the following
Fields of Research
1. Lowdimensional nanoscale systems
 Quantum transport in lowdimensional branched structures
 Heat transport and thermoelectricity in lowdimensional nanoscale systems
 Dynamical confinement in lowdimensional quantum systems
 Charge carrier dynamics in conducting polymers and branched molecular chains
 Methane and hydrogen storage in lowdimensional nanomaterials
 Energy conversion by lowdimensional nanoscale systems
 Lowdimensional PTsymemtric quantum systems
2. Nonlinear science
 Soliton dynamics in branched structures and networks
 Deterministic chaos in lowdimensional systems
 Quantum chaos in lowdimensional systems
 Rogue waves
 Traffic modelling
 PTsymmetric solitons
3. Complex System Physics
 SelfOrganized Criticality and applications
 Modeling of extreme events, disasters and risks
 Econophysics
4. Mathematical Physics
 Evolution equaions on graphs and branched thin domains
 Partial differential equations with timedependent boundary conditions
 Inverse problems for moving boundary conditions
 PTsymmetric evolutions equations/span
 Spectral theory of PTsymmetric systems
5. Quantum science and technology
 Lowdimensdional quantum materials
 Quantum cryptography and computation on metric graphs
 Quantum computation in relativistic systems
 Quamntum networks
 Quantum biology
