Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance

Fatih Dinc; İlke Ercan; Agata M. Brańczyk

doi:10.22331/q-2019-12-09-213

Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance

Fatih Dinc^1,2, İlke Ercan³, and Agata M. Brańczyk¹

¹Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada
²Department of Applied Physics, Stanford University, Stanford, CA 94305, USA
³Electrical & Electronics Engineering Department, Boğaziçi University, Istanbul, 34342, Turkey

Published:	2019-12-09, volume 3, page 213
Eprint:	arXiv:1809.05164v4
Doi:	https://doi.org/10.22331/q-2019-12-09-213
Citation:	Quantum 3, 213 (2019).

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Abstract

We develop a formalism for modelling $exact$ time dynamics in waveguide quantum electrodynamics (QED) using the real-space approach. The formalism does not assume any specific configuration of emitters and allows the study of Markovian dynamics $\textit{fully analytically}$ and non-Markovian dynamics semi-analytically with a simple numerical integration step. We use the formalism to study subradiance, superradiance and bound states in continuum. We discuss new phenomena such as subdivision of collective decay rates into symmetric and anti-symmetric subsets and non-Markovian superradiance effects that can lead to collective decay stronger than Dicke superradiance. We also discuss possible applications such as pulse-shaping and coherent absorption. We thus broaden the range of applicability of real-space approaches beyond steady-state photon transport.

Popular summary

The quantum internet has the potential to revolutionize how computers talk to each other. Such systems could give people access to cloud-based quantum computers, and provide a level of privacy, security and computational power not possible with today’s internet. The ultimate vision of the quantum internet is a connection of potentially billions of quantum devices within the same network. A key challenge in designing such networks involves theoretical modelling. Existing models could only cope with very simple networks. We develop an approach for modelling complex networks of many devices, and use that method to make predictions in regimes not previously accessible.
Quantum networks will most likely be realized by sending quantum light through waveguides, such as optical fibres, that are connected to quantum devices—the most simple of which is a quantum bit (qubit). Various approaches have been explored for modelling interactions between quantum light and qubits in waveguides. Each method offers unique intuition and can be preferable over another depending on the problem of interest.
The virtue of our approach lies in providing analytical or semi-analytical (with a simple numerical integration step) results. This model makes it possible to study interactions between quantum light and qubits in complex waveguide geometries, with an unprecedented number of possibly non-identical qubits, using only a personal computer.
We expect that our method will benefit applications such as quantum logic, quantum memory, quantum photon routing, and quantum communication, bringing the ambitious vision of the quantum internet closer to realization.

► BibTeX data

@article{Dinc2019exactmarkoviannon,
  doi = {10.22331/q-2019-12-09-213},
  url = {https://doi.org/10.22331/q-2019-12-09-213},
  title = {Exact {M}arkovian and non-{M}arkovian time dynamics in waveguide {QED}: collective interactions, bound states in continuum, superradiance and subradiance},
  author = {Dinc, Fatih and Ercan, {\.{I}}lke and Bra{\'{n}}czyk, Agata M.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {3},
  pages = {213},
  month = dec,
  year = {2019}
}

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