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

Roie Dann

doi:10.22331/q-2025-05-12-1740

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

Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, 85748 Garching, Germany

Published:	2025-05-12, volume 9, page 1740
Editor:	Thomas Elliott
Eprint:	arXiv:2410.03297v4
Doi:	https://doi.org/10.22331/q-2025-05-12-1740
Citation:	Quantum 9, 1740 (2025).

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Abstract

Understanding how external driving and dissipation jointly influence the dynamics of open quantum systems is essential for advancing the study of non-equilibrium quantum phenomena and developing quantum technologies. The present study addresses the issue by exploring the behavior of open systems in driven optical setups coupled to a bosonic field. Starting from an exact non-Markovian master equation for linear systems, we extend the analysis to an ensemble of quantum emitters and validate the proposed solution. The analytical results unveil a range of intriguing phenomena, including pronounced non-Markovian corrections to the coherent driving and a collective cross-driving effect. These effects are experimentally accessible in platforms such as cavity QED, photonic crystals, and state-dependent optical lattices. In the Markovian limit, comparison with exact solutions reveal short-time non-Markovian effects that endure well beyond the environmental correlation decay time, alongside memory effects triggered by short laser pulses. These findings offer valuable insights into the dynamics of driven open systems, laying the groundwork for precise quantum state control.

Popular summary

Controlling quantum systems that interact with their surroundings—so-called "open" quantum systems—is a major challenge in developing future quantum technologies. This research investigates how external forces (like laser driving) and environmental influences (like dissipation) shape the behavior of such systems. Focusing on setups where light and matter interact—such as cavity QED and photonic crystals—the authors develop and test a powerful new mathematical approach that captures subtle memory effects often overlooked in simpler models.

Their analysis reveals surprising behaviors, including collective responses among many quantum particles and lingering memory effects from fast laser pulses. Notably, some of these effects persist even when conventional theory would expect them to fade. These insights deepen our understanding of quantum dynamics far from equilibrium and help pave the way toward more precise control of quantum states in experimental platforms.

► BibTeX data

@article{Dann2025interplaybetween,
  doi = {10.22331/q-2025-05-12-1740},
  url = {https://doi.org/10.22331/q-2025-05-12-1740},
  title = {Interplay between external driving, dissipation and collective effects in the {M}arkovian and non-{M}arkovian regimes},
  author = {Dann, Roie},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1740},
  month = may,
  year = {2025}
}

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Cited by

[1] Juan Garcia Nila and Todd A. Brun, "Continuous quantum correction on Markovian and non-Markovian models", Physical Review A 113 2, 022442 (2026).

[2] Lixiang Ding, Jingtao Fan, and Xingze Qiu, "Universally robust control of open quantum systems", npj Quantum Information 12 1, 22 (2025).

[3] Federico Settimo and Bassano Vacchini, "Synchronization effects in a periodically driven two-level system", Physical Review A 113 2, 022213 (2026).

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