A Unified Simulation Framework for Correlated Driven-Dissipative Quantum Dynamics

TL;DR

This paper introduces a comprehensive simulation framework for studying the real-time nonequilibrium dynamics of driven-dissipative quantum systems with electronic correlations, enabling detailed analysis of spectral evolution and band-gap changes.

Contribution

It develops and implements a unified formalism combining recent theoretical methods to simulate correlated driven-dissipative quantum dynamics, including electron-electron interactions and dissipation effects.

Findings

Demonstrates nontrivial time-dependent bandstructure changes due to electron thermalization.

Shows up to 10% reduction in band-gap during dynamics.

Provides a versatile simulation framework for correlated quantum systems.

Abstract

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic correlations and dissipation, which are challenging due to the associated long simulation timescales which translate to a high computational cost. Recent methodological developments, namely the Real-Time Dyson Expansion, as well as theoretical developments of many-body perturbation theory for dissipative systems, have allowed for the study of driven-dissipative interacting quantum systems. In this work, we implement the hitherto unrealized study of driven-dissipative interacting quantum systems which includes driven dynamical correlations and utilizes these new methods and perturbative expansions. We illustrate the combined formalism on a prototypical two-band semiconductor model with long-range density-density Coulomb interactions. We show that the intraband thermalization of conduction band electrons induces nontrivial time-dependent changes in the system's bandstructure and a time-evolving band-gap renormalization (with a reduction by up to 10\%). We show that the qualitative features are preserved for a variety of parameters, discuss the corresponding spectral dynamics, and provide an outlook on the newly introduced simulation framework, which enables treating electron-electron scattering and dissipation effects on equal footing.