Exploiting the Paradigm of Quantum Information in Nanosystem Modeling

Recently, we have introduced a novel approach to modeling of electronic properties of nanosystems. It is based upon a special type of Hamiltonian dynamics associated with mixed states of composite quantum systems. These concepts have been applied to modeling of several types of systems, including quantum Hall systems in equilibrium. In this report, in turn, we discuss a model for non-equilibrium evolution of quantum Hall systems. Quite surprisingly, the model suggests that such systems may spontaneously settle in a time-periodic regime—a potentially important conclusion, which brings to light the relevance of the many physical effects known to result from time-periodic Hamiltonian dynamics.