Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes

• URL: http://arxiv.org/abs/2410.03297v1
• Date: Fri, 4 Oct 2024 10:18:55 GMT
• Title: Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes
• Authors: Roie Dann,
• Abstract summary: The present study investigates open system phenomena in driven optical systems coupled simultaneously to a bosonic field. For a linear system of micro-cavities coupled to a photonic crystal, it is analytically shown that environmental interaction and external control cause significant non-Markovian corrections to the applied coherent drive. The influence of the non-linearity is analyzed and benchmarked against an exact pseudo-mode solution, and compared with established master equations in the Markovian regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The evolution of quantum optical systems is determined by three key factors: the interactions with their surrounding environment, externally controlled lasers and between the different system components. Understanding the interplay between the three dynamical contributions is essential for the study of out-of-equilibrium phenomena as well as technological applications. The present study investigates open system phenomena in driven optical systems coupled simultaneously to a bosonic field. For a linear system of micro-cavities coupled to a photonic crystal, it is analytically shown that environmental interaction and external control cause significant non-Markovian corrections to the applied coherent drive. Additionally, collective cross-driving effects arise when multiple modes are coupled to the same field, where a laser applied to one mode effectively drives other modes. Based on the linear solution, a non-Markovian master equation for two-level emitters is derived. Remarkably, the proposed equation of motion remains accurate even for moderate driving intensities, where emitters cannot be approximated by bosonic modes. The influence of the non-linearity is analyzed and benchmarked against an exact pseudo-mode solution, and compared with established master equations in the Markovian regime. Within this regime, the comparison demonstrates the presence of short-time non-Markovian effects at times well beyond the inverse of the environment's bandwidth, and memory effects induced by short laser pulses. These findings offer valuable insights into the driven open system dynamics of quantum optical systems, impurities embedded in solid-state materials, molecular systems, and more, paving the way for precise control of their quantum states.

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