Capturing Vacuum Fluctuations and Photon Correlations in Cavity Quantum Electrodynamics with Multi-Trajectory Ehrenfest Dynamics

Abstract

We describe vacuum fluctuations and photon-field correlations in interacting quantum mechanical light-matter systems, by generalizing the application of mixed quantum-classical dynamics techniques. We employ the multi-trajectory implementation of Ehrenfest mean field theory, traditionally developed for electron-nuclear problems, to simulate the spontaneous emission of radiation in a model quantum electrodynamical cavity-bound atomic system. We investigate the performance of this approach in capturing the dynamics of spontaneous emission from the perspective of both the atomic system and the cavity photon field, through a detailed comparison with exact benchmark quantum mechanical observables and correlation functions. By properly accounting for the quantum statistics of the vacuum field, while using mixed quantum-classical (mean field) trajectories to describe the evolution, we identify a surprisingly accurate and promising route towards describing quantum effects in realistic correlated light-matter systems.

References in corpus (24)

• Exciton-polariton condensates
• Atoms and Molecules in Cavities: From Weak to Strong Coupling in QED Chemistry
• Extraordinary exciton conductance induced by strong coupling
• Cavity enhanced transport of excitons
• Multiple Rabi Splittings under Ultra-Strong Vibrational Coupling
• Cavity Born-Oppenheimer Approximation for Correlated Electron-Nuclear-Photon Systems
• Time-dependent density functional theory for many-electron systems interacting with cavity photons
• Ab-initio non-relativistic quantum electrodynamics: Bridging quantum chemistry and quantum optics from weak to strong coupling
• Kohn-Sham Approach to Quantum Electrodynamical Density Functional Theory: Exact Time-Dependent Effective Potentials in Real Space
• Optimized Effective Potential for Quantum Electrodynamical Time-Dependent Density Functional Theory
• Nonadiabatic Dynamics in Open Quantum-Classical Systems: Forward-Backward Trajectory Solution
• Efficient and accurate surface hopping for long time nonadiabatic quantum dynamics
• Ground State Electroluminescence
• Few-photon coherent nonlinear optics with a single molecule
• Resonances in open quantum systems
• Analysis of the Forward-Backward Trajectory Solution for the Mixed Quantum-Classical Liouville Equation
• Paraxial Theory of Direct Electro-Optic Sampling of the Quantum Vacuum
• Open quantum systems and Dicke superradiance
• Mixed Quantum-Classical Electrodynamics: Understanding Spontaneous Decay and Zero Point Energy
• Ehrenfest+R Dynamics I: A Mixed Quantum-Classical Electrodynamics Simulation of Spontaneous Emission
• Ehrenfest+R Dynamics II: A Semiclassical QED Framework for Raman Scattering
• Coupled forward-backward trajectory approach for non-equilibrium electron-ion dynamics
• Nonadiabatic \textit{ab initio} Quantum Dynamics without Potential Energy Surfaces
• Frustrated polaritons

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• Understanding the Nature of Mean-Field Semiclassical Light-Matter Dynamics: An Investigation of Energy Transfer, Electron-Electron Correlations, External Driving and Long-Time Detailed Balance
• Understanding Detailed Balance for an Electron-Radiation System Through Mixed Quantum-Classical Electrodynamics
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• Tilted Material in an Optical Cavity: Light-Matter Moiré Effect and Coherent Frequency Conversion
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• Ehrenfest dynamics accelerated with SPEED
• Focused Sampling for Low-Cost and Accurate Ehrenfest Modeling of Cavity Quantum Electrodynamics
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