<p>As atom-cavity systems are becoming more sophisticated, the limitations of the Jaynes–Cummings model are becoming more apparent. In this paper, we therefore take a more dynamical approach to the modelling of atom-cavity systems and do not reduce the electromagnetic field inside the resonator to a single mode. Our approach shows that the decay rate <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Gamma _{\textrm{cav}}\)</EquationSource> </InlineEquation> of an emitter inside a subwavelength cavity with metallic mirrors can be much larger than its free space decay rate <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\Gamma _{\textrm{free}}\)</EquationSource> </InlineEquation> due to constructive interference effects of the emitted light. In general, however, we find that <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\Gamma _{\textrm{cav}} = \Gamma _{\textrm{free}}\)</EquationSource> </InlineEquation> to a very good approximation which might explain why atom-cavity experiments with planar mirrors have not been able to operate in the so-called strong coupling regime.</p>

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Cavity QED beyond the Jaynes–Cummings model

  • Abeer Al Ghamdi,
  • Gin Jose,
  • Almut Beige

摘要

As atom-cavity systems are becoming more sophisticated, the limitations of the Jaynes–Cummings model are becoming more apparent. In this paper, we therefore take a more dynamical approach to the modelling of atom-cavity systems and do not reduce the electromagnetic field inside the resonator to a single mode. Our approach shows that the decay rate \(\Gamma _{\textrm{cav}}\) of an emitter inside a subwavelength cavity with metallic mirrors can be much larger than its free space decay rate \(\Gamma _{\textrm{free}}\) due to constructive interference effects of the emitted light. In general, however, we find that \(\Gamma _{\textrm{cav}} = \Gamma _{\textrm{free}}\) to a very good approximation which might explain why atom-cavity experiments with planar mirrors have not been able to operate in the so-called strong coupling regime.