AN INTEGRABLE Q-DEFORMED MODEL FOR BOSONS INTERACTING WITH SPIN IMPURITIES

A composite quantum model on a lattice which describes the system of q -bosons interacting with U(q)[su(2)] spin impurities is introduced and solved exactly under periodic boundary conditions. In one limit the m odel is shown to become a new exactly soluble quantum system on a latt ice which can be interpreted as a q-deformed version of the quantum Di cke model. In the limit of infinitesimal spacing the model is further reduced to a multilevel version of the previously introduced continuum -limit Dicke model. For spin 1/2 the previous results for this particu lar case are confirmed.