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An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field - MaRDI portal

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An Adiabatic Theorem without a Gap Condition: Two level system coupled to quantized radiation field

From MaRDI portal
Publication:6502471

DOI10.1103/PHYSREVA.58.4300arXivmath/9803153MaRDI QIDQ6502471

Author name not available (Why is that?)


Abstract: 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.












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