Elimination of the A-square problem from cavity QED

Abstract

We generalize the Power-Zineau-Woolley transformation to obtain a canonical Hamiltonian of cavity quantum electrodynamics for arbitrary geometry of boundaries. This Hamiltonian is free from the A-square term and the instantaneous Coulomb interaction between distinct atoms. The single-mode models of cavity QED (Dicke, Tavis-Cummings, Jaynes-Cummings) are justified by a term by term mapping to the proposed microscopic Hamiltonian. As one straightforward consequence, the basis of no-go argumentations concerning the Dicke phase transition with atoms in electromagnetic fields dissolves.

5 pages

References in corpus (4)

• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Intersubband Polaritons in the Electrical Dipole Gauge
• Adequacy of the Dicke model in cavity QED: a counter-"no-go" statement

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