Nonequilibrium Dynamics of Non-Ideal Quantum Materials

Nonequilibrium Dynamics of Non-Ideal Quantum Materials PI: Prof. Herbert Fotso, University at Buffalo SUNY (Collaborative project with Prof. Hanna Terletska, Middle Tennessee State University) Accurately modeling and comprehensively understanding realistic quantum materials in nonequilibrium conditions require a deep understanding of the interplay between disorder and electron-electron interactions. However, this task poses significant challenges due to the non-perturbative nature of the problem, resulting in a lack of theoretical models and reliable numerical tools that can effectively address electron-electron interactions, disorder, and complex behavior of matter away from equilibrium. To overcome these challenges, this project focuses on the development and utilization of a unique array of theoretical tools, including the framework of nonequilibrium Dynamical Mean Field Theory combined with the Coherent Potential Approximation (DMFT+CPA). By incorporating perturbative and effective medium tools, this project will enable a comprehensive study of the dynamics of field-driven and quenched correlated quantum systems with disorder. It will also explore effects of the interplay of interaction and disorder effects in time-resolved spectroscopy experiments, as well as develop novel theoretical methods for studying non-ideal quantum materials away from equilibrium. To maximize the impact of this research, the developed codes will be released as open-source tools, facilitating their utilization and adaptation by other research groups. This open-source approach aims to foster collaborations and extend the reach of our research within the scientific community. The anticipated payoff of this project is significant and will advance our fundamental understanding of the complex interplay between disorder and strong correlation in quantum materials under nonequilibrium conditions. Furthermore, it will provide valuable insights, calibration, and guidance for experimental studies in the field of quantum dynamics, quenches, and spectroscopy. The development of many-body numerical tools within the DMFT+CPA framework will enable studies that were previously inaccessible, opening new avenues for exploring the behavior of non-ideal quantum materials out of equilibrium.