Research: Centers

Research Center for Nonlinear and Complex Systems

The Center is devoted to the study of complex behavior originating primarily from nonlinearity and deterministic chaos, rather than high dimensionality and large numbers of particles. Besides the study of the mathematical aspects of nonlinear phenomena, applications of chaos to atomic and condensed matter physics and, more recently, to quantum computation and information are actively investigated.

Present research efforts involve:

• Efficient quantum algorithms to simulate dynamical models with complex dynamics
  
• Quantum computing of dynamical localization
  
• Onset of chaos in quantum computer hardware
  
• Limits to quantum information protocols due to decoherence quantum trajectories approach
  
• Entanglement, chaos and quantum computation
  
• Effect of hardware imperfections on the stability of  quantum algorithms
  
• Quantum chaos in atom optics and nanodevices
  
• Heat conductivity and thermal diodes and transistors
  
• Classical and quantum ratchets
  
• Weak chaos and anomalous transport in classical and quantum mechanics
  
• Periodic and almost periodic orbits, return times of dynamical systems
  
• Gross-Pitaevskii nonlinearities and quantum chaos
  
• Chaos and stochasticity in discrete dynamical systems