Non-Markovian Master Equation for Distant Resonators Embedded in a One-Dimensional Waveguide |
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| Authors: | Xin-Yu Chen Wen-Zhao Zhang Chong Li |
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| Affiliation: | 1. School of Physics, Dalian University of Technology, Dalian 116024, China;2. Beijing Computational Science Research Center, Beijing 100193, China |
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| Abstract: | We develop a master equation approach to describe the dynamics of distant resonators coupled through a one-dimensional waveguide. Our method takes into account the back-actions of the reservoirs, and enables us to calculate the exact dynamics of the complete system at all times. We show that such system can cause nonexponential and long-lived photon decay due to the existence of a relaxation effect. The physical origin of non-Markovianity in our model system is the finite propagation speed resulting in time delays in communication between the nodes, and strong decay rate of the emitters into the waveguide. When the distance satisfies the standing wave condition, we find that when the time delay is increased, the dark modes formation is no longer perfect, and the average photon number of dark mode decreases in steady time limit. |
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| Keywords: | non-Markovian master equation quantum network waveguide QED |
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