Quantum simulators are a powerful tool for studying, typically, closed quantum systems that are computationally hard. In the first part of my talk, I will present simulations of vibrational dynamics in molecules that were carried out by using a reprogrammable, unitary photonic chip [1]. They include the unitary evolution of up to four vibrational excitations for several four atom molecules. I will then present simulations for non-unitary processes such as dephased energy transport in a peptide bond, and the thermal relaxation in water. Such non-unitary evolutions also arise naturally due to non-Hermitian Hamiltonians. In the second part of my talk, I will review this rapidly developing area of Parity-Time (PT) symmetric Hamiltonians, and then present simulations for multi-particle correlations and some metrics of quantum information in two- and three-mode Hamiltonians with parity-time (PT) symmetry. In contrast to the Lindblad formalism, where entropy increases with time, I will show that PT-symmetric Hamiltonians give rise to a rich variety of temporal dependences for quantum information.  

This work is an ongoing collaboration with University of Bristol. [1] C. Sparrow et al., Nature 557, 660 (2018).

Yogesh Joglekar is an Associate Professor of Physics at Indiana University-Purdue University Indianapolis (IUPUI). He did his undergraduate from IIT Kanpur and Ph.D. from Indiana University. After postdoc work at University of Kentucky and the Los Alamos National Lab, he joined IUPUI in January 2006. His research interests involve Parity-Time symmetric systems, graphene, and memristive systems.