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Recent experiments with photons equilibrating inside a dye medium in a cavityhave raised the question of whether Bose condensation can occur in a systemwith only incoherent interaction with phonons in a bath but withoutparticle-particle interaction. Analytical calculations analogous to those donefor a system with particle-particle interactions indicate that a system ofbosons interacting only with incoherent phonons can indeed undergo Bosecondensation and furthermore can exhibit spontaneous amplification of quantumcoherence. We review the basic theory for these calculations.

Dynamics of Phase Coherence Onset in Bose Condensates of Photons by Incoherent Phonon Emission