Generalized statistics of macroscopic fields

Shi-Yao Zhu, Chang Su, Ma Ai-Qun

The differences between macroscopic (all time or entire ensemble average) and submacroscopic (partial time or partial ensemble average) fields of micromasers with non-Poissonian pumping are discussed. A formula to calculate the steady-state density matrix of the macroscopic field is derived. The photon statistics, average photon numbers, and photon-number variances of the macroscopic field, together with those of the submacroscopic fields, are obtained and compared. The photon statistics of a special submacroscopic field are almost the same as those of the macroscopic field.

Roberto Scipioni

N. N. Bogolyubov, V. N. Plechko, A. S. Shumovskiǐ

The equilibrium and dynamic properties of macroscopic systems interacting with a field of electromagnetic radiation are investigated. The regular methods of asymptotically exact solution associated with the use of approximating Hamiltonians and the elimination of boson variables from the kinetic equations are reviewed. Some generalizations of the Dicke model are considered.

L. Martina, Alexander Protogenov, V. A. Verbus

We consider universal statistical properties of systems that are characterized by phase states with macroscopic degeneracy of the ground state. A possible topological order in such systems is described by non-linear discrete equations. We focus on the discrete equations which take place in the case of generalized exclusion principle statistics. We show that their exact solutions are quantum dimensions of the irreducible representations of certain quantum group. These solutions provide an example of the point where the generalized exclusion principle statistics and braid statistics meet each other. We propose a procedure to construct the quantum dimer models by means of projection of the knotted field configurations that involved braiding features of one-dimensional topology.

S. Kamefuchi, J. A. STRATHDEE