Super-Radiance and the Unstable Photon Oscillator

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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6 pages ReVTeX 2 figures *.eps

Scientific paper

10.1142/S0217979201004423

If the damping of a simple harmonic oscillator from a thermally random force is sufficiently strong, then the oscillator may become unstable. For a photon oscillator (radiatively damped by electric dipole moments), the instability leads to a low temperature Hepp-Lieb-Preparata super-radiant phase transition. The stable oscillator regime is described by the free energy of the conventional Casimir effect. The unstable (strongly damped) oscillator has a free energy corresponding to Dicke super-radiance.

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