Our group conducts theoretical and computational research at the boundary of quantum technology and ultrafast nonlinear optics. Of particular interest is the exploration how quantum control can be used to produce on-demand nonlinear optical properties, and how tailored nonlinear optical effects can enhance information processing tasks. Our research recently featured in
. For the complete list please visit Public Coverage.

The other research thrusts include

• Optics including quantum, ultrafast, nonlinear, and incoherent
• Optical communication and sensing
• Nonequilibrium quantum statistical mechanics
• Many-body quantum physics
• Quantum-classical analogies
• Tunneling of complex systems (BEC)
• Quantum-classical hybrids. Announcement: We are co-organizers of the upcoming conference “Koopman Methods in Classical and Classical-Quantum Mechanics” on April 18-23, 2021; Bad Honnef, Germany

 

A bit more details

• “Turning lead into gold:” The intrinsic properties of a material are those which uniquely identify it at equilibrium – one of the differences between gold and lead is the way in which they interact with light. What happens to these properties when the systems are driven from equilibrium however? One of our active research topics is controlling material properties through driving laser fields, an application of which is to make lead look like gold. This is achieved using a framework for controlling the observable properties of a general many-electron system known as tracking quantum control. Recently, we have demonstrated theoretically the capability of this method for making conducting materials mimic insulators and vice versa, but the possibilities opened up with tracking control extend far beyond this. More exotic phenomena such as superconductivity, and many-body localization- which can be characterized by a controllable order parameter- may also be optically induced. Using this, it may be possible to design driven metamaterials, exhibiting properties that cannot be found at equilibrium.

• High performance computing via nonlinear optics: The dominant paradigm of solid-state digital computers is bound to reach the technological limits with no viable alternative in sight. Thus, it is time to seek novel physical realizations of computing. We evaluate the possibility of utilizing nonlinear optical effects as a computational platform. This may pave the way for the development of new physical realization of computation.

• Quantum reservoir engineering: Realistic models of large quantum systems must include dissipative interactions with an environment, which may be of various natures (e.g., spontaneous emission, fluorescence, collisions, etc). It is widely believed that the dissipative forces destroy quantum features. This opinion is being challenged by reservoir engineering. In particular, it is possible to preserve and even enhance the quantum dynamical features of a system by judiciously coupling the system to a dissipative environment. Moreover, dissipative dynamics opens unique possibilities, not offered by potential forces, such as the violation of Newton’s third law.

• Novel optical technology via quantum-classical analogies: Optical analogs of quantum phenomena rely upon the resemblance of the Schrodinger equation to the wave equation with the paraxial approximation, where the wavefunction is replaced by the electric field. Using this analogy, we are developing new optical technologies for sensing and communication by adapting quantum reservoir engineering to the realm of classical optics.

• Quantum-classical hybrids: The interplay between quantum and classical systems is one of the most fascinating open questions of modern science. In particular, classical-quantum hybrid systems, in which both quantum and classical degrees of freedom interact, lies at the heart of several scientific disciplines ranging from chemistry to quantum gravity. Despite its importance, a fully consistent classical-quantum theory has eluded the countless attempts to develop one. In order to describe the hybrid systems, we are utilizing the Koopman-von Neumann (KvN) theory, which provides a quantum-like description of classical mechanics in terms of wave functions and self-adjoint operators. The KvN approach is based on a fundamental observation:  both classical and quantum evolutions are represented by unitary transformations. Although widely used in dynamical system theory, the KvN method remains unknown in other areas. The KvN approach is diametrically opposite to the phase-space representation of dynamics, which has been the basis of all the previous attempts to construct hybrid systems, providing a classical-like description of quantum dynamics in terms of momenta and coordinates.

• Theory of theories: We are living in the age of omnipresent data. A much-needed capability is to convert the collected data, irrespective of its nature, into knowledge characterizing the phenomenon that generated the data. This is a bottom-up approach, when a dynamical model is inferred from observed data. Whereas, the top-to-bottom approach refers to when a model is proposed first and then its predictions are confronted with observations (e.g., the least action principle). We are developing the bottom-up framework of Operational Dynamical Modeling that will allow physical models to be distilled directly from measured data in a systematic way. This approach will not only enable to obtain efficient models for complex systems, but also solve open problems in nonequilibrium quantum dynamics.