Depolarization shift of the superradiant phase transition

نویسندگان

  • Tobias Grießer
  • András Vukics
  • Peter Domokos
چکیده

Quantum electrodynamics, when applied to a large ensemble of identical atoms, leads to the surprising prediction that a so-called superradiant phase transition takes place above a critical density of the atom gas. In thermal equilibrium and also in the ground state of the system at zero temperature, the atoms in the superradiant phase develop a polarization field with non-vanishing mean value accompanied by a non-vanishing mean displacement field [1–4]. Originally, this prediction has been made on the ground of the Dicke model which is admittedly oversimplified. Therefore, the idea of such a phase transition generated the immediate reaction of denying its existence and attributing it to an artifact of the incomplete modeling [5–9]. However, the validity of the Dicke model is, in fact, surprisingly robust in treating the interaction between radiation and matter [10, 11]. One can define a gauge transformation from the minimal coupling Hamiltonian – the a priori model of atomic QED – to a regularized electric-dipole (RED) coupling Hamiltonian [12] which is suitable to describe the coupling between independent atoms and well-defined modes of the radiation field, and which can then be systematically truncated to the simple form of the Dicke model.

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تاریخ انتشار 2016