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Cavity quantum electrodynamics in the ultrastrong coupling regime

Ahmadi, E ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.scient.2011.06.009
  3. Publisher: 2011
  4. Abstract:
  5. We revisit the mathematical formulation of the famous Jaynes-Cummings-Paul Hamiltonian, which describes the interaction of a two-level atom with a single mode of an electromagnetic cavity reservoir. We rigorously show that under the condition of ultrastrong coupling between the atom and cavity in which the transition frequency is comparable to the coupling frequency, the bosonic field operators undergo non-sinusoidal time variations. As a result, the well-known solutions to the Jaynes-Cummings-Paul model are no longer valid, even when the rotating wave approximation is not used. We show how a correct mathematical solution could be found instead
  6. Keywords:
  7. Jaynes-Cummings-Paul model ; Bosonic fields ; Cavity Quantum Electrodynamics ; Coupling frequencies ; Electromagnetic cavity ; Mathematical formulation ; Mathematical solutions ; Non-sinusoidal ; Operator algebras ; Rotating wave approximations ; Single mode ; Time variations ; Transition frequencies ; Two-level atom ; Ultrastrong coupling ; Mathematical operators ; Quantum electronics ; Quantum optics ; Electrodynamics ; Numerical method ; Numerical model ; Quantum mechanics ; Ultrasonics
  8. Source: Scientia Iranica ; Volume 18, Issue 3 F , June , 2011 , Pages 820-826 ; 10263098 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S1026309811001143