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Theory and simulation of cavity quantum electro-dynamics in multi-partite quantum complex systems

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Abstract

The cavity quantum electrodynamics of various complex systems is here analyzed using a general versatile code developed in this research. Such quantum multi-partite systems normally consist of an arbitrary number of quantum dots in interaction with an arbitrary number of cavity modes. As an example, a nine-partition system is simulated under different coupling regimes, consisting of eight emitters interacting with one cavity mode. Two-level emitters (e.g. quantum dots) are assumed to have an arrangement in the form of a linear chain, defining the mutual dipole–dipole interactions. It was observed that plotting the system trajectory in the phase space reveals a chaotic behavior in the so-called ultrastrong-coupling regime. This result is mathematically confirmed by detailed calculation of the Kolmogorov entropy, as a measure of chaotic behavior. In order to study the computational complexity of our code, various multi-partite systems consisting of one to eight quantum dots in interaction with one cavity mode were solved individually. Computation run times and the allocated memory for each system were measured.

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Acknowledgements

This work was supported in part by Iranian National Science Foundation (INSF) under Grant 89001329.

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Authors and Affiliations

  1. School of Electrical Engineering, Sharif University of Technology, P.O. Box 11365-9363, Tehran, Iran

    Moslem Alidoosty Shahraki, Sina Khorasani & Mohammad Hasan Aram

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  1. Moslem Alidoosty Shahraki
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  2. Sina Khorasani
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  3. Mohammad Hasan Aram
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Correspondence to Sina Khorasani.

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Alidoosty Shahraki, M., Khorasani, S. & Aram, M.H. Theory and simulation of cavity quantum electro-dynamics in multi-partite quantum complex systems. Appl. Phys. A 115, 595–603 (2014). https://doi.org/10.1007/s00339-013-8025-4

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  • DOI: https://doi.org/10.1007/s00339-013-8025-4

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