| Tanmoy Banerjee |
| Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India. tbanerjee@phys.buruniv.ac.in |
Abstract: Understanding the dynamics of dissipative nonlinear systems in the quantum regime has recently been identified as an emerging topic of research. The well-known concepts of nonlinear dynamics such as oscillation of a single unit and emergent behaviors of coupled oscillatory units have recently been explored in the quantum regime. It is found that in the quantum domain the well-known emergent phenomena like synchronization and oscillation quenching show several significant results that have no classical analog. The extension of the techniques used in the so-called classical nonlinear dynamics to the quantum regime is not straightforward. The understanding of nonlinear behavior in the quantum domain is based on the formalism of open quantum system that requires the solution of quantum master equations. Also, phase space representation of a quantum system that involves quasi probability function (e.g. Wigner function) plays a crucial role in this endeavor. In this talk, I will discuss the well-known symmetry-breaking dynamics in the quantum domain. Using the formalism of the open quantum system, it will be shown how do the dynamics differ from their classical counterpart.