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

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.

Revised version, 15 pages

Cited by in corpus (11)

• Adiabatic approximation in open quantum systems
• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Berry phase in a non-isolated system
• Minimal work principle: proof and counterexamples
• Graph isomorphism and adiabatic quantum computing
• Weak-measurement-induced asymmetric dephasing: manifestation of intrinsic measurement chirality
• Non-Abelian Geometric Dephasing
• Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics
• Quantum adiabatic theorem for unbounded Hamiltonians with a cutoff and its application to superconducting circuits
• Adiabatic state preparation from general initial states
• A multi-band semiclassical model for surface hopping quantum dynamics