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Journal of Russian Laser Research

Application of the nonequilibrium diagram technique to strongly driven atomic systems

Aleksandr V Vinogradov

Published Nov 1, 1996• 0 citations
Publisher
DOI
10.1007/bf02069173

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A Green's function formulation, valid for thermal as well as nonthermal equilibrium, is developed for the resonance fluorescence from strongly driven two level atoms. Translational motion and the Doppler broadening are also taken into account (collisions are considered in a second paper). The Feynman diagram technique is used to calculate the contribution of the physically important processes. The formulation is not based on the Markovian approximation or the quantum regression theorem. It takes full account of the dynamic Stark splitting and the saturation, and leads to a generalization of the "dressed atom" approach. Our "generalized dressed atom" (GDA) approach is valid for arbitrary values of the detuning and the pump field strength. The lowest order diagrams in the GDA picture give results equivalent to the existing theories. Some higher order diagrams are also considered. Although the resulting corrections are small, the physical processes involved are of some interest. These corrections include nonMarkovian effects.
The control of nonequilibrium quantum dynamics in many-body systems is challenging because interactions typically lead to thermalization and a chaotic spreading throughout Hilbert space. We investigate nonequilibrium dynamics after rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions. Using a programmable quantum simulator based on Rydberg atom arrays, we show that coherent revivals associated with so-called quantum many-body scars can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order. We map Hilbert space dynamics, geometry dependence, phase diagrams, and system-size dependence of this emergent phenomenon, demonstrating new ways to steer complex dynamics in many-body systems and enabling potential applications in quantum information science.