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Comparison of semi-classical approximations to the Rabi model | | Dirk-André Deckert
; Leopold Kellers
; Travis Norsen
; Ward Struyve
; | | Date: |
10 Nov 2020 | | Abstract: | The Rabi model describes a single mode electromagnetic field interacting with
a two-level atom. As is well-known, the quantum treatment and the
semi-classical treatment (where the field is treated classically rather than
quantum mechanically) give qualitatively different results. In this paper, we
analyse the model using a different semi-classical approximation based on
Bohmian mechanics. In this approximation, the back-reaction from the two-level
atom onto the classical field is mediated by the Bohmian configuration of the
two-level atom. We find that the Bohmian semi-classical approximation gives
results comparable to the usual mean field one for the transition between
ground and first excited state. However it does not always perform well when
considering a higher excited state. Both semi-classical approximations tend to
reproduce the collapse of the population inversion, but fail to reproduce the
revival, which is characteristic of the full quantum description. | | Source: | arXiv, 2011.05300 | | Services: | Forum | Review | PDF | Favorites | |
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