Quantum corrections to the semiclassical collective dynamics in the Tavis-Cummings model

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The Tavis-Cummings model (the Dicke model treated in the rotating-wave approximation), describing many two-level systems coupled to a single bosonic mode, has been long known to show collective semiclassical oscillations when prepared in an inverted state, with all two-level systems excited and the bosonic mode is empty. This paper discusses how the quantum dynamics approaches this semiclassical result for large numbers of two-level systems, focusing on how the eigenvalues approach their semiclassical limit. The approach to the semiclassical result is found to be slow, scaling like a power of the logarithm of the system size. Considering also the effect of weak detuning between the two-level system and the bosonic field, quantum corrections are again found to decay slowly with system size, such that for a fixed detuning, the quantum effects of detuning are greater than the classical effect.

Original languageEnglish
Article number053825
Number of pages7
JournalPhysical Review. A, Atomic, molecular, and optical physics
Issue number5
Publication statusPublished - May 2009


  • boson systems
  • eigenvalues and eigenfunctions
  • optical tuning
  • quantum optics


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