Nonlinear driven dissipative systems: Dynamics, Entanglement and Correlations.

Part 1:  I will discuss recent efforts on engineering non-Hermitian systems and creating an intricate balance between drive and dissipation to entangle spatially separated qubits to a desired entangled quantum state. I will demonstrate how such states can be generated and sustained for an indefinite time. Our results on time dynamics and subsequent steady states have been recently observed in a superconducting circuit architecture at UC Berkeley. More generally, it can be implemented in any platform that permits controllable delivery of light to specified locations in a network of qubits.

Part 2: I will show recent results on nonlinear dynamics and correlations in integrable and non-integrable versions of Non-Linear Schrodinger equation (NLSE) and its connections to partial differential family of equations such as the Kardar–Parisi–Zhang (KPZ) and Korteweg–de Vries (KdV) class. The ubiquity of NLSE in fields ranging from cold atoms to nonlinear optics and the rich properties of KPZ and KdV family of equations makes such a connection and subsequent analysis to be of paramount importance.