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

Alidoosty Shahraki, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1007/s00339-013-8025-4
  3. Abstract:
  4. 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
  5. Keywords:
  6. Phase space methods ; Quantum theory ; Arbitrary number ; Cavity mode ; Cavity Quantum Electrodynamics ; Chaotic behaviors ; Dipole dipole interactions ; Kolmogorov entropies ; Linear chain ; System trajectory ; Semiconductor quantum dots
  7. Source: Applied Physics A: Materials Science and Processing ; Vol. 115, issue. 2 , 2014 , p. 595-603
  8. URL: http://link.springer.com/article/10.1007%2Fs00339-013-8025-4