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

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dc.creatorKeeling, Jonathan
dc.date2009-01-27
dc.date2009-03-31
dc.date.accessioned2026-07-07T13:15:11Z
dc.date.available2026-07-07T13:15:11Z
dc.descriptionThe 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 empty. This paper discusses how the quantum dynamics approaches this semiclassical result for large numbers of two-level systems, focussing 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.
dc.description7 pages, 4 figures. Updated references and introduction
dc.identifierhttps://arxiv.org/abs/0901.4245
dc.identifierhttp://arxiv.org/abs/0901.4245
dc.identifierPhys. Rev. A 79, 053825 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.053825
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230402
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum corrections to the semiclassical collective dynamics in the Tavis-Cummings model
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