An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field
Avron, J. E. ; Elgart, A.
arXiv, 9803153 / Harvested from arXiv
Text on arXiv
We prove an adiabatic theorem for the ground state of the Dicke model in a slowly rotating magnetic field and show that for weak electron-photon coupling, the adiabatic time scale is close to the time scale of the corresponding two level system--without the quantized radiation field. There is a correction to this time scale which is the Lamb shift of the model. The photon field affect the rate of approach to the adiabatic limit through a logarithmic correction originating from an infrared singularity characteristic of QED.
Publié le : 1998-03-31
Classification:  Mathematics - Functional Analysis,  Mathematical Physics,  Mathematics - Spectral Theory,  Physics - Atomic Physics,  Quantum Physics 
@article{9803153,
     author = {Avron, J. E. and Elgart, A.},
     title = {An Adiabatic Theorem without a Gap Condition: Two level system coupled
  to quantized radiation field},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9803153}
}

Avron, J. E.; Elgart, A. An Adiabatic Theorem without a Gap Condition: Two level system coupled
  to quantized radiation field. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9803153/